Updated 2017-08-18

This is, we believe, a fairly complete listing of articles, books and talks by the late Jonathan Borwein, together with some other material about him and his work, such as book reviews and other commentaries. This compendium is based, in part, on Jon's own CV, which he updated the day before he died. There are over 1700 items in this listing. Additional items and online preprint copies, where available, will be made available here as they are obtained by the editors.

Please send a note if you know of any items that should be included but are not, or if you see any errors in the listing: Bailey | Beebe

These items are organized by year (with **most recent items last**)
and within the same year by tag. A BibTeX file containing all of these
items, plus some additional information for many of these entries, is
available here:
BibTeX file.

- [Borwein:1972:MON] Jonathan Michael Borwein, "Monotone Operators and Non-Linear Functional Analysis," M.Sc. thesis, Oxford University, 1972.
- [Borwein:1974:ORP] Jonathan Michael Borwein, "Optimization with respect to partial orderings," D.Phil. thesis, Oxford University, 1974, Online copy1.
- [Borwein:1976:FPD] J. M. Borwein, "Fractional programming without differentiability,"
*Mathematical Programming*, vol. 11, no. 1, 1976, pg. 283--290, DOI, Online copy1, Online copy2. - [Borwein:1976:NFJ] J. M. Borwein, "A note on Fritz John sufficiency,"
*Bulletin of the Australian Mathematical Society*, vol. 15, no. 2, Oct., 1976, pg. 293--296, DOI, Online copy1, Online copy2. - [Borwein:1976:TCC] J. Borwein and R. O'Brien, "Tangent cones and convexity,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 19, no. 3, 1976, pg. 257--261, DOI, Online copy1. - [Borwein:1976:VS] J. Borwein and M. Edelstein and R. O'Brien, "Visibility and Starshape,"
*Journal of the London Mathematical Society (series 2)*, vol. S2-14, no. 2, Nov., 1976, pg. 313--318, DOI, Online copy1, Online copy2. - [Borwein:1977:MCO] J. Borwein, "Multivalued convexity and optimization: a unified approach to inequality and equality constraints,"
*Mathematical Programming*, vol. 13, no. 2, 1977, pg. 183--199, DOI, Online copy1, Online copy2. - [Borwein:1977:PEH] J. Borwein, "A proof of the equivalence of Helly's and Krasnoselski's theorems,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 20, no. 1, Mar., 1977, pg. 35--37, DOI, Online copy1. - [Borwein:1977:PEP] J. Borwein, "Proper Efficient Points for Maximizations with Respect to Cones,"
*SIAM Journal on Control and Optimization*, vol. 15, no. 1, Jan., 1977, pg. 57--63, DOI, Online copy1. - [Borwein:1977:SRV] J. Borwein and M. Edelstein and R. O'Brien, "Some remarks on visibility and starshape,"
*Journal of the London Mathematical Society (series 2)*, vol. S2-15, no. 2, Apr., 1977, pg. 342--344, DOI, Online copy1, Online copy2. - [Borwein:1977:WLP] J. M. Borwein, "The William Lowell Putnam Competition. A Brief History," Jan., 1977.
- [Borwein:1978:CCC] J. M. Borwein and R. C. O'Brien, "Cancellation characterizes convexity,"
*Nanta Mathematica*, vol. 11, no. 1, 1978, pg. 100--102, Online copy1. - [Borwein:1978:SEF] J. M. Borwein, "On strongly exposing functionals,"
*Proceedings of the American Mathematical Society*, vol. 69, no. 1, 1978, pg. 46--48, Online copy1, Online copy2. - [Borwein:1978:TCS] J. M. Borwein, "Tangent cones, starshape and convexity,"
*International Journal of Mathematics and Mathematical Sciences*, vol. 1, no. 4, 1978, pg. 459--477, DOI, Online copy1. - [Borwein:1978:WTC] J. Borwein, "Weak Tangent Cones and Optimization in a Banach Space,"
*SIAM Journal on Control and Optimization*, vol. 16, no. 3, May, 1978, pg. 512--522, DOI, Online copy1. - [Borwein:1979:CD] J. M. Borwein, "On convex decompositions," 1979, Accepted for publication in Nanta Mathematica, but the journal ceased publication in 1979 before the paper appeared., Online copy1.
- [Borwein:1979:COA] J. M. Borwein and H. Wolkowicz, "Characterizations of Optimality for the Abstract Convex Program," Research Report, Department of Mathematics, Dalhousie University, 19, Jul., 1979.
- [Borwein:1979:COC] J. M. Borwein and H. Wolkowicz, "Characterizations of optimality without constraint qualification for the abstract convex program," Research Report, Department of Mathematics, Dalhousie University, 14, Jun., 1979.
- [Borwein:1979:DTS] J. M. Borwein, "Direct theorems in semi-infinite convex programming," Report, Department of Mathematics, Dalhousie University, 11, Apr., 1979.
- [Borwein:1979:LLC] J. M. Borwein, "The Limiting Lagrangean as a Consequence of Helly's Theorem," Report, Department of Mathematics, Dalhousie University, 7, Mar., 1979.
- [Borwein:1979:MAF] J. M. Borwein, "A multivalued approach to the Farkas lemma,"
*Mathematical Programming Study*, vol. 10, 1979, pg. 42--47, DOI, Online copy1, Online copy2. - [Borwein:1979:MFP] J. M. Borwein, "The minimum of a family of programs,"
*Third Symposium on Operations Research (Univ. Mannheim, Mannheim, 1978), Section I*, Hain, 1979, pg. 99--111. - [Borwein:1979:MLP] Jonathan M. Borwein, "Monochrome lines in the plane,"
*Mathematics Magazine*, vol. 52, no. 1, 1979, pg. 41--45, DOI, Online copy1. - [Borwein:1979:TVS] J. M. Borwein, "Two variants of Sylvester's theorem,"
*Atlantic Mathematics Bulletin*, vol. 3, 1979, pg. 11--13, Online copy1. - [Borwein:1979:WLS] J. M. Borwein, "Weak local supportability and applications to approximation,"
*Pacific Journal of Mathematics*, vol. 82, no. 2, 1979, pg. 323--338, Online copy1. - [Borwein:1980:GPE] J. M. Borwein, "The geometry of Pareto efficiency over cones,"
*Optimization*, vol. 11, no. 2, 1980, pg. 235--248, DOI, Online copy1. - [Borwein:1980:HMC] J. Borwein and L. Keener, "The Hausdorff metric and Cebysev centres,"
*Journal of Approximation Theory*, vol. 28, no. 4, 1980, pg. 366--376, DOI, Online copy1, Online copy2. - [Borwein:1980:LM] J. M. Borwein, "Lexicographic multipliers,"
*Journal of Mathematical Analysis and Applications*, vol. 78, no. 1, 1980, pg. 309--327, DOI, Online copy1, Online copy2. - [Borwein:1980:LMT] J. M. Borwein, "A Lagrange Multiplier Theorem and a Sandwich Theorem for Convex Relations," Research Report, Department of Mathematics, Dalhousie University, 80-1, Jan., 1980.
- [Borwein:1980:NPD] J. M. Borwein, "A note on perfect duality and limiting Lagrangeans,"
*Mathematical Programming*, vol. 18, no. 1, 1980, pg. 330--337, DOI, Online copy1, Online copy2. - [Borwein:1980:SDT] J. M. Borwein, "A strong duality theorem for the minimum of a family of convex programs,"
*Journal of Optimization Theory and Applications*, vol. 31, no. 4, 1980, pg. 453--472, DOI, Online copy1, Online copy2. - [Tijs:1980:SGC] S. H. Tijs and J. M. Borwein, "Some Generalizations of Caratheodory's Theorem via Barycentres, with Application to Mathematical Programming,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 23, no. 3, Sep., 1980, pg. 339--346, DOI, Online copy1. - [Borwein:1981:CCP] J. M. Borwein and H. Wolkowicz, "Cone convex programming, stability and affine constraints,"
*Generalized Convexity in Optimization and Economics*, Academic Press, New York, NY, USA, 1981, pg. 379--392. - [Borwein:1981:COA] Jon M. Borwein and Henry Wolkowicz, "Characterization of optimality for the abstract convex program with finite dimensional range,"
*Journal of the Australian Mathematical Society. Series A: Pure Mathematics and Statistics*, vol. 30, no. 4, Apr., 1981, pg. 390--411, DOI, Online copy1, Online copy2. - [Borwein:1981:CRO] J. M. Borwein, "Convex relations in optimization and analysis,"
*Generalized Convexity in Optimization and Economics*, Academic Press, New York, NY, USA, 1981, pg. 335--377. - [Borwein:1981:DTS] J. M. Borwein, "Direct theorems in semi-infinite convex programming,"
*Mathematical Programming*, vol. 21, no. 1, 1981, pg. 301--318, DOI, Online copy1. - [Borwein:1981:FRC] Jon M. Borwein and Henry Wolkowicz, "Facial reduction for a cone-convex programming problem,"
*Journal of the Australian Mathematical Society. Series A: Pure Mathematics and Statistics*, vol. 30, no. 3, Feb., 1981, pg. 369--380, DOI, Online copy1, Online copy2. - [Borwein:1981:LLC] J. M. Borwein, "The limiting Lagrangian as a consequence of Helly's theorem,"
*Journal of Optimization Theory and Applications*, vol. 33, no. 4, 1981, pg. 497--513, DOI, Online copy1, Online copy2. - [Borwein:1981:LMT] J. M. Borwein, "A Lagrange multiplier theorem and a sandwich theorem for convex relations,"
*Mathematica Scandinavica*, vol. 48, no. 2, 1981, pg. 189--204, Online copy1, Online copy2. - [Borwein:1981:RAC] Jon Borwein and Henry Wolkowicz, "Regularizing the abstract convex program,"
*Journal of Mathematical Analysis and Applications*, vol. 83, no. 2, 1981, pg. 495--530, DOI, Online copy1, Online copy2. - [Borwein:1981:SRP] J. Borwein, "Some remarks on a paper of S. Cobzas on antiproximal sets: ``Antiproximinal sets in some Banach spaces'' [Math. Balkanica 4 (1974), 79--82; MR 51 #13553],"
*Bulletin of the Calcutta Mathematical Society*, vol. 73, no. 1, 1981, pg. 5--8, Online copy1. - [Borwein:1982:CDP] J. M. Borwein, "Continuity and differentiability properties of convex operators,"
*Proceedings of the London Mathematical Society. Third Series*, vol. 44, no. 3, 1982, pg. 420--444, DOI, Online copy1. - [Borwein:1982:COCa] J. M. Borwein and H. Wolkowicz, "Characterizations of optimality without constraint qualification for the abstract convex program,"
*Mathematical Programming Study*, vol. 19, 1982, pg. 77--100. - [Borwein:1982:COCb] J. M. Borwein and H. Wolkowicz, "Characterizations of optimality without constraint qualification for the abstract convex program,"
*Optimality and Stability in Mathematical Programming*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1982, DOI, Online copy1. - [Borwein:1982:HBE] Jonathan M. Borwein, "On the Hahn--Banach extension property,"
*Proceedings of the American Mathematical Society*, vol. 86, no. 1, 1982, pg. 42--46, DOI. - [Borwein:1982:NES] J. M. Borwein, "A note on the existence of subgradients,"
*Mathematical Programming*, vol. 24, no. 2, 1982, pg. 225--228, DOI, Online copy1, Online copy2. - [Borwein:1982:NSC] J. M. Borwein, "Necessary and sufficient conditions for quadratic minimality,"
*Numerical Functional Analysis and Optimization*, vol. 5, no. 2, 1982, pg. 127--140, DOI, Online copy1. - [Borwein:1982:NSM] J. M. Borwein, "A note on $ \varepsilon $-subgradients and maximal monotonicity,"
*Pacific Journal of Mathematics*, vol. 103, no. 2, 1982, pg. 307--314, Online copy1. - [Borwein:1982:SSI] J. M. Borwein and G. P. H. Styan and H. Wolkowicz, "Solutions: Some Inequalities Involving Statistical Expressions (L. V. Foster),"
*SIAM Review*, vol. 24, no. 3, 1982, pg. 340--342, DOI. - [Asic:1983:PSE] Miroslav D. Asic and Phil Novinger and Daniel Oberlin and Irving Adler and Clark Kimberling and J. D. Shallit and P. Erdos, "Problems and Solutions: Elementary Problems: E2995--E3000,"
*American Mathematical Monthly*, vol. 90, no. 5, May, 1983, pg. 334--335, DOI. - [Borwein:1983:APD] J. M. Borwein, "Adjoint process duality,"
*Mathematics of Operations Research*, vol. 8, no. 3, 1983, pg. 403--434, DOI, Online copy1. - [Borwein:1983:CCP] J. M. Borwein, "Completeness and the contraction principle,"
*Proceedings of the American Mathematical Society*, vol. 87, no. 2, 1983, pg. 246--250, DOI, Online copy1. - [Borwein:1983:EPE] Jonathan M. Borwein, "On the existence of Pareto efficient points,"
*Mathematics of Operations Research*, vol. 8, no. 1, Feb., 1983, pg. 64--73, DOI, Online copy1, Online copy2. - [Borwein:1983:FDS] J. M. Borwein and K. O. Kortanek, "Fenchel-duality and separably-infinite programs,"
*Optimization*, vol. 14, no. 1, 1983, pg. 37--48., DOI. - [Borwein:1983:HSS] J. M. Borwein, "How special is semi-infinite programming?,"
*Semi-infinite Programming*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1983, pg. 139--172. - [Borwein:1983:NFL] J. M. Borwein, "A note on the Farkas lemma,"
*Utilitas Mathematica*, vol. 24, 1983, pg. 235--241, Online copy1. - [Borwein:1983:NMB] Jonathan Borwein and Brailey Sims, "Nonexpansive mappings on Banach lattices,"
*Comptes rendus de l'Academie des sciences. Canada*, vol. 5, no. 1, 1983, pg. 21--26, Online copy1. - [Borwein:1983:PSA] J. Borwein and Gabor J. Szekely and Andras Zempleni and Michael Barr and Edmund Butler and Allen J. Schwenk and Thomas Q. Sibley, "Problems and Solutions: Advanced Problems: 6430-6435,"
*American Mathematical Monthly*, vol. 90, no. 6, 1983, pg. 402--403, DOI. - [Borwein:1983:SIP] Jonathan M. Borwein, "Semi-infinite programming duality: how special is it?,"
*Semi-infinite programming and applications (Austin, Tex., 1981)*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1983, pg. 10--36. - [Borwein:1983:VRC] J. M. Borwein and P. B. Borwein, "A very rapidly convergent product expansion for $ \pi $,"
*BIT (Nordisk tidskrift for informationsbehandling)*, vol. 23, no. 4, Dec., 1983, pg. 538--540, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:1984:AGM] J. M. Borwein and P. B. Borwein, "The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions,"
*SIAM Review*, vol. 26, no. 3, Jul., 1984, pg. 351--366, DOI, Online copy1. - [Borwein:1984:ANV] J. M. Borwein and D. T. Yost, "Absolute norms on vector lattices,"
*Proceedings of the Edinburgh Mathematical Society (2)*, vol. 27, no. 2, Jun., 1984, pg. 215--222, DOI, Online copy1, Online copy2. - [Borwein:1984:CCO] J. M. Borwein and J.-P. Penot and M. Thera, "Conjugate convex operators,"
*Journal of Mathematical Analysis and Applications*, vol. 102, no. 2, 1984, pg. 399--414, DOI, Online copy1, Online copy2. - [Borwein:1984:CHO] J. M. Borwein and P. B. Borwein, "Cubic and higher order algorithms for $ \pi $,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 27, no. 4, Dec., 1984, pg. 436--443, DOI, Online copy1. - [Borwein:1984:DLM] J. M. Borwein and H. M. Strojwas, "Directionally Lipschitzian mappings on Baire spaces,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 36, no. 1, 1984, pg. 95--130, DOI, Online copy1. - [Borwein:1984:EAO] J. M. Borwein and P. B. Borwein, "Explicit algebraic $n$ th order approximations to pi," 1984, in Singh:1984:ATS, pg. 247--256, DOI, Online copy1.
- [Borwein:1984:EEH] J. M. Borwein, "On the existence of eigenvalues for Hermitian matrices,"
*APICS Proceedings*, 1984, pg. 1--5. - [Borwein:1984:EIA] J. M. Borwein and P. B. Borwein, "Elliptic integrals and approximations to $ \pi $," Jan., 1984, Typescript, with 84-01 added by hand on cover page.
- [Borwein:1984:GLC] J. M. Borwein, "Generalized linear complementarity problems treated without fixed-point theory,"
*Journal of Optimization Theory and Applications*, vol. 43, no. 3, 1984, pg. 343--356, DOI, Online copy1. - [Borwein:1984:HMM] J. M. Borwein and B. Richmond, "How many matrices have roots?,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 36, no. 2, 1984, pg. 286--299, DOI, Online copy1. - [Borwein:1984:ICE] J. M. Borwein, "An integral characterization of Euclidean space,"
*Bulletin of the Australian Mathematical Society*, vol. 29, no. 3, 1984, pg. 357--364, DOI, Online copy1. - [Borwein:1984:NMB] Jon M. Borwein and Brailey Sims, "Nonexpansive mappings on Banach lattices and related topics,"
*Houston Journal of Mathematics*, vol. 10, no. 3, 1984, pg. 339--356, Online copy1. - [Borwein:1984:RCC] J. M. Borwein and P. B. Borwein, "Reduced Complexity Calculation of Log," Department of Mathematics, Dalhousie University, DALTR 84-01, Jan., 1984.
- [Borwein:1984:SCO] J. M. Borwein, "Subgradients of convex operators,"
*Optimization*, vol. 15, no. 2, 1984, pg. 179--191, DOI. - [Borwein:1984:SCS] J. M. Borwein and D. W. Tingley, "On Supportless Convex Sets," Report, Department of Mathematics, Dalhousie University, DALTR 84-04, 1984.
- [Borwein:1984:SRP] J. M. Borwein, "Stability and Regular Points of Inequality Systems," Report, Department of Mathematics, Dalhousie University and Carnegie-Mellon University, DALTR 84-02, 1984.
- [Borwein:1984:TCS] J. M. Borwein and P. B. Borwein, "A tangent cone separation principle," Report, Department of Mathematics, Dalhousie University, DALTR 84-03, Jan., 1984.
- [Borwein:1984:TKN] J. M. Borwein and J. W. Nieuwenhuis, "Two kinds of normality in vector optimization,"
*Mathematical Programming*, vol. 28, no. 2, 1984, pg. 185--191, DOI, Online copy1, Online copy2. - [Singh:1984:ATS] S. P. Singh and J. W. H. Burry and B. Watson, ed.,
*Approximation Theory and Spline Functions. NATO Advanced Study Institute held at Memorial University of Newfoundland during August 22--September 2, 1983*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1984, pg. ix + 485, DOI. - [Borwein:1985:ATG] Jonathan M. Borwein, "Alternative theorems for general complementarity problems,"
*Infinite programming (Cambridge, 1984)*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1985, pg. 194--203, DOI. - [Borwein:1985:CLS] David Borwein and Jonathan M. Borwein and Keith F. Taylor, "Convergence of lattice sums and Madelung's constant,"
*Journal of Mathematical Physics*, vol. 26, no. 11, Nov., 1985, pg. 2999--3009, DOI, Online copy1, Online copy2. - [Borwein:1985:PSA] Jon Borwein and Anatole Beck, "Problems and Solutions: Advanced Problems: 6491--6492,"
*American Mathematical Monthly*, vol. 92, no. 3, Mar., 1985, pg. 217--217, DOI. - [Borwein:1985:PSS] J. Borwein, "Problems and Solutions: Solutions of Advanced Problems: 6430,"
*American Mathematical Monthly*, vol. 92, no. 2, Feb., 1985, pg. 148--149, DOI. - [Borwein:1985:SCS] J. M. Borwein and D. W. Tingley, "On supportless convex sets,"
*Proceedings of the American Mathematical Society*, vol. 94, no. 3, 1985, pg. 471--476, DOI, Online copy1. - [Borwein:1985:SMI] Jon Borwein, "Some modular identities of Ramanujan useful in approximating $ \pi $,"
*Proceedings of the American Mathematical Society*, vol. 95, no. 3, Nov., 1985, pg. 365--371, DOI, Online copy1, Online copy2. - [Borwein:1985:TA] J. M. Borwein and H. M. Strojwas, "Tangential approximations,"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 9, no. 12, 1985, pg. 1347--1366, DOI, Online copy1, Online copy2. - [Honor:1985:DTR] R. B. Honor, "Density and transitivity results on $ l^i n f t y $ and $ l^1 $,"
*Journal of the London Mathematical Society (series 2)*, vol. S2-32, no. 3, Dec., 1985, pg. 521--527, DOI, Online copy1. - [Schoenberg:1985:PSA] I. J. Schoenberg, "Problems and Solutions: Advanced Problems: 6501,"
*American Mathematical Monthly*, vol. 92, no. 8, Oct., 1985, pg. 595--595, DOI. - [Adler:1986:PSS] Irving Adler and A. A. Jagers and J. M. Borwein, "Problems and Solutions: Solutions of Elementary Problems: E2997,"
*American Mathematical Monthly*, vol. 93, no. 4, Apr., 1986, pg. 304--304, DOI. - [Asic:1986:PSS] Miroslav D. Asic and A. A. Jagers, "Problems and Solutions: Solutions of Elementary Problems: E2995,"
*American Mathematical Monthly*, vol. 93, no. 5, May, 1986, pg. 401--402, DOI. - [Borwein:1986:CMN] Jonathan M. Borwein, "Cones, minimality notions and consequences," Aug., 1986, International conference on Vector Optimization, Darmstadt, West Germany.
- [Borwein:1986:ECI] J. M. Borwein and P. B. Borwein, "An explicit cubic iteration for $ \pi $,"
*BIT (Nordisk tidskrift for informationsbehandling)*, vol. 26, no. 1, Mar., 1986, pg. 123--126, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:1986:FMT] J. M. Borwein and D. Zhuang, "On Fan's minimax theorem,"
*Mathematical Programming*, vol. 34, no. 2, 1986, pg. 232--234, DOI, Online copy1, Online copy2. - [Borwein:1986:GDO] Jonathan M. Borwein, "Generic differentiability of order-bounded convex operators,"
*Journal of the Australian Mathematical Society. Series B*, vol. 28, no. 1, Jul., 1986, pg. 22--29, DOI, Online copy1, Online copy2. - [Borwein:1986:LOC] J. M. Borwein and M. A. H. Dempster, "The Linear Order Complementarity Problem," Report, Department of Mathematics, Statistics & Computing Science, Dalhousie University and Balliol College, Oxford University, DALTR 86-3, Jul., 1986.
- [Borwein:1986:MQC] J. M. Borwein and P. B. Borwein, "More quadratically converging algorithms for $ \pi $,"
*Mathematics of Computation*, vol. 46, no. 173, Jan., 1986, pg. 247--253, DOI, Online copy1. - [Borwein:1986:NAS] David Borwein and Jonathan M. Borwein, "A Note on Alternating Series in Several Dimensions,"
*American Mathematical Monthly*, vol. 93, no. 7, Aug., 1986, pg. 531--539, DOI, Online copy1. - [Borwein:1986:NDC] J. M. Borwein, "Norm duality for convex processes and applications,"
*Journal of Optimization Theory and Applications*, vol. 48, no. 1, 1986, pg. 53--64, DOI, Online copy1, Online copy2. - [Borwein:1986:PAB] J. M. Borwein and H. M. Strojwas, "Proximal analysis and boundaries of closed sets in Banach space. I. Theory,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 38, no. 2, 1986, pg. 431--452, DOI, Online copy1. - [Borwein:1986:PMO] J. M. Borwein, "Partially monotone operators and the generic differentiability of convex-concave and biconvex mappings,"
*Israel Journal of Mathematics*, vol. 54, no. 1, 1986, pg. 42--50, DOI, Online copy1, Online copy2. - [Borwein:1986:PSS] Jon Borwein and William A. Newcomb, "Problems and Solutions: Solutions of Advanced Problems: 6491,"
*American Mathematical Monthly*, vol. 93, no. 10, 1986, pg. 822--823, DOI. - [Borwein:1986:RME] Jonathan M. Borwein, "Ramanujan, modular equations and pi," Nov., 1986, Colloquium, St. Francis Xavier University, Antigonish, NS, Canada., Online copy1.
- [Borwein:1986:SCQ] J. M. Borwein and H. Wolkowicz, "A simple constraint qualification in infinite-dimensional programming,"
*Mathematical Programming*, vol. 35, no. 1, 1986, pg. 83--96, DOI, Online copy1, Online copy2. - [Borwein:1986:SRP] J. M. Borwein, "Stability and regular points of inequality systems,"
*Journal of Optimization Theory and Applications*, vol. 48, no. 1, 1986, pg. 9--52, DOI, Online copy1, Online copy2. - [Borwein:1986:SVP] Jonathan M. Borwein, "A smooth variational principle," 1986, Computer Scienceslash Optimization Seminar, University of Waterloo, Waterloo, ON, Canada.
- [Deutsch:1986:PSE] Emeric Deutsch and L. I. Nicolaescu and Ira Gessel and Paul Monsky and Clark Kimberling and Huseyin Demir, "Problems and Solutions: Elementary Problems: E3159--E3164,"
*American Mathematical Monthly*, vol. 93, no. 7, Aug., 1986, pg. 565--566. - [Erdos:1986:PSS] P. Erdos and J. B. Wilker and L. E. Mattics, "Problems and Solutions: Solutions of Elementary Problems: E3000,"
*American Mathematical Monthly*, vol. 93, no. 7, Aug., 1986, pg. 571--572, DOI. - [Kimberling:1986:PSS] Clark Kimberling and A. A. Jagers, "Problems and Solutions: Solutions of Elementary Problems: E2998,"
*American Mathematical Monthly*, vol. 93, no. 9, Nov., 1986, pg. 733--734, DOI. - [Novinger:1986:PSS] Phil Novinger and Daniel Oberlin and Nick Lord, "Problems and Solutions: Solutions of Elementary Problems: E2996,"
*American Mathematical Monthly*, vol. 93, no. 4, Apr., 1986, pg. 303--304, DOI. - [Shallit:1986:PSS] J. D. Shallit and Karel Zikan and University of South Alabama Problem Group and Z. A. Malzak, "Problems and Solutions: Solutions of Elementary Problems: E2999,"
*American Mathematical Monthly*, vol. 93, no. 5, May, 1986, pg. 402--403, DOI. - [Zalinescu:1986:LEJ] Constantin Zualinescu, "Letter to the editor: on J. M. Borwein's paper: ``Adjoint process duality'' [Math. Oper. Res. 8 (1983), no. 3, 403--434; MR0716121 (85h:90092)],"
*Mathematics of Operations Research*, vol. 11, no. 4, Nov., 1986, pg. 692--698, DOI, Online copy1. - [Beck:1987:PSS] Anatole Beck and O. P. Lossers, "Problems and Solutions: Solutions of Advanced Problems: 6492,"
*American Mathematical Monthly*, vol. 94, no. 1, Jan., 1987, pg. 82--83, DOI. - [Borwein:1987:ACO] J. M. Borwein, "Automatic continuity and openness of convex relations,"
*Proceedings of the American Mathematical Society*, vol. 99, no. 1, Jan., 1987, pg. 49--55, DOI, Online copy1, Online copy2. - [Borwein:1987:AGM] Jonathan M. Borwein, "The arithmetic--geometric mean of Gauss and Legendre: An Excursion," Dec., 1987, Canadian Mathematical Society, Coxeter--James Lecture, Vancouver, BC, Canada.
- [Borwein:1987:CCM] J. M. Borwein, "Convex Cones, Minimality Notions, and Consequences,"
*Recent Advances and Historical Development of Vector Optimization*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1987, DOI, Online copy1. - [Borwein:1987:CMN] J. M. Borwein, "Cones, minimality notions and consequences,"
*Recent Advances and Historic Development of Vector Optimization*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1987, pg. 62--85. - [Borwein:1987:DRF] J. M. Borwein and S. P. Fitzpatrick and J. R. Giles, "The differentiability of real functions on normed linear space using generalized subgradients,"
*Journal of Mathematical Analysis and Applications*, vol. 128, no. 2, 1987, pg. 512--534, DOI, Online copy1, Online copy2. - [Borwein:1987:EIE] J. M. Borwein and I. J. Zucker, "Elliptic Integral Evaluation of the Gamma Function at Values with Small Rational Denominators," Report, Department of Mathematics, Statistics and Computing Science, Dalhousie University and Department of Physics, King's College, Sep., 1987.
- [Borwein:1987:ELL] Jonathan Michael Borwein, "Epi-Lipschitz-like sets in Banach space: theorems and examples,"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 11, no. 10, 1987, pg. 1207--1217, DOI, Online copy1, Online copy2. - [Borwein:1987:ERT] J. M. Borwein and P. B. Borwein, "Explicit Ramanujan-type approximations to pi of high order,"
*Proceedings of the Indian Academy of Sciences --- Mathematical Sciences*, vol. 97, no. 1--3, 1987, pg. 53--59, DOI, Online copy1. - [Borwein:1987:ESE] D. Borwein and J. M. Borwein and R. Shail and I. J. Zucker, "Energy of Static Electron Lattices," Report, University of Western Ontario and Department of Mathematics, Statistics and Computing Science, Dalhousie University and University of Surrey and University of Surrey, Sep., 1987.
- [Borwein:1987:OC] Jonathan M. Borwein, "Order complementarity," Mar., 1987, Colloquium, University of Western Ontario, London, ON, Canada.
- [Borwein:1987:PAB] J. M. Borwein and H. M. Strojwas, "Proximal analysis and boundaries of closed sets in Banach space. II. Applications,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 39, no. 2, 1987, pg. 428--472, DOI, Online copy1. - [Borwein:1987:PAS] Jonathan M. Borwein and Peter B. Borwein,
*Pi and the AGM: a Study in Analytic Number Theory and Computational Complexity*, Wiley, New York, NY, USA, 1987, pg. xv + 414. - [Borwein:1987:PNF] J. M. Borwein and J. R. Giles, "The proximal normal formula in Banach space,"
*Transactions of the American Mathematical Society*, vol. 302, no. 1, 1987, pg. 371--381, DOI, Online copy1. - [Borwein:1987:RMEa] Jonathan M. Borwein, "Ramanujan, modular equations and pi," Mar., 1987, Colloquium, Concordia., Online copy1.
- [Borwein:1987:RMEb] Jonathan M. Borwein, "Ramanujan, modular equations and approximations to pi," Jun., 1987, Ramanujan Centenary Meeting, University of Illinois, Champaign-Urbana, IL, USA., Online copy1.
- [Borwein:1987:RRA] J. M. Borwein and P. B. Borwein, "Ramanujan's rational and algebraic series for $ 1 / \pi $,"
*J. Indian Math. Soc. (N.S.)*, vol. 51, 1987, pg. 147--160 (1988). - [Borwein:1987:SAC] Jonathan M. Borwein, "Spectral analysis via convex programming," Oct., 1987, Charnes' 70th birthday conference, IC2, University of Texas at Austin, Austin, TX, USA.
- [Borwein:1987:SVPa] Jonathan M. Borwein and David Preiss, "A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions,"
*Transactions of the American Mathematical Society*, vol. 303, no. 2, Oct., 1987, pg. 517--527, DOI, Online copy1, Online copy2. - [Borwein:1987:SVPb] Jonathan M. Borwein, "A smooth variational principle," 1987, AMS Winter meetings, San Antonio, TX, USA.
- [Borwein:1987:SVPc] Jonathan M. Borwein, "A smooth variational principle," Mar., 1987, Analysisslash Applied Math seminar, University of Toronto, Toronto, ON, Canada.
- [Borwein:1987:SVPd] Jonathan M. Borwein, "A smooth variational principle," Jun., 1987, Franco--Quebec Conference on Non-linear Analysis, Perpignan, France.
- [Borwein:1987:TIR] Jonathan M. Borwein, "A theta identity of Ramanujan's and applications," Jul., 1987, AMS Summer Research Institute, Bowdoin College, Brunswick, ME, USA.
- [Borwein:1987:UPW] J. M. Borwein and P. B. Borwein, "Unsolved Problems: The Way of All Means,"
*American Mathematical Monthly*, vol. 94, no. 6, Jun., 1987, pg. 519--522, DOI, Online copy1. - [Schoenberg:1987:APS] I. J. Schoenberg and Peter B. Borwein, "Advanced Problems and Solutions: Solutions: 6501,"
*American Mathematical Monthly*, vol. 94, no. 4, Apr., 1987, pg. 390--390, DOI. - [Schurger:1987:PSS] Klaus Schurger and Ellen Hertz, "Problems and Solutions: Solutions of Advanced Problems: 6502,"
*American Mathematical Monthly*, vol. 94, no. 5, May, 1987, pg. 470--471, DOI. - [Ward:1987:NCF] D. E. Ward and J. M. Borwein, "Nonsmooth Calculus in Finite Dimensions,"
*SIAM Journal on Control and Optimization*, vol. 25, no. 5, Sep., 1987, pg. 1312--1340, DOI, Online copy1. - [Askey:1988:BRP] Richard Askey, "Book Review: Pi and the AGM,"
*American Mathematical Monthly*, vol. 95, no. 9, Nov., 1988, pg. 895--897, Online copy1. - [Bailey:1988:CDD] David H. Bailey, "The Computation of $ \pi $ to 29,360,000 Decimal Digits Using Borweins' Quartically Convergent Algorithm,"
*Mathematics of Computation*, vol. 50, no. 181, Jan., 1988, pg. 283--296, DOI, Online copy1. - [Barzilai:1988:TPS] Jonathan Barzilai and Jonathan M. Borwein, "Two-Point Step Size Gradient Methods,"
*IMA Journal of Numerical Analysis*, vol. 8, no. 1, 1988, pg. 141--148, DOI. - [Ben-Tal:1988:DAM] A. Ben-Tal and J. M. Borwein and M. Teboulle, "A dual approach to multidimensional $ L_p $ spectral estimation problems,"
*SIAM Journal on Control and Optimization*, vol. 26, no. 4, 1988, pg. 985--996, DOI. - [Berndt:1988:BRJ] Bruce C. Berndt, "Book Review: Jonathan M. Borwein and Peter B. Borwein, Pi and the AGM --- A Study of Analytic Number Theory and Computational Complexity, Canadian Mathematical Society Series of Mono- graphs and Advanced Texts, Wiley, New York, 1987, xv + 414 pp., 24 cm. Price $49.95,"
*Mathematics of Computation*, vol. 50, no. 181, Jan., 1988, pg. 352--354, Online copy1. - [Borwein:1988:AGMa] Jonathan M. Borwein, "The arithmetic--geometric mean of Gauss and Legendre: An Excursion," May, 1988, Distinguished Lecturer Series, University of Delaware, Newark, DE, USA.
- [Borwein:1988:AGMb] Jonathan M. Borwein, "The arithmetic--geometric mean of Gauss and Legendre: An Excursion," Jun., 1988, Colloquium, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:1988:AGMc] Jonathan M. Borwein, "The arithmetic--geometric mean of Gauss and Legendre: An Excursion," Jun., 1988, Colloquium, University of New England, Armidale, NSW, Australia.
- [Borwein:1988:AGMd] Jonathan M. Borwein, "The arithmetic--geometric mean of Gauss and Legendre: An Excursion," Jul., 1988, Colloquium, Auckland University, Auckland, New Zealand.
- [Borwein:1988:AGMe] Jonathan M. Borwein, "The arithmetic--geometric mean of Gauss and Legendre: An Excursion," Sep., 1988, Colloquium, Macquarie University, Sydney, NSW, Australia.
- [Borwein:1988:BFD] Jonathan M. Borwein, "Borchardt's four-dimensional arithmetic--geometric mean," Sep., 1988, Seminar, Macquarie University, Sydney, NSW, Australia.
- [Borwein:1988:CCJ] J. M. Borwein and P. B. Borwein, "A Cubic Counterpart of Jacobi's Identity and the AGM," Report, Department of Mathematics, Statistics and Computing Science, Dalhousie University, Dec., 1988.
- [Borwein:1988:CFF] J. M. Borwein and P. B. Borwein, "On the Complexity of Familiar Functions and Numbers,"
*SIAM Review*, vol. 30, no. 4, Dec., 1988, pg. 589--601, DOI, Online copy1, Online copy2. - [Borwein:1988:ESE] D. Borwein and J. M. Borwein and R. Shail and I. J. Zucker, "Energy of static electron lattices,"
*Journal of Physics A (Mathematical and General)*, vol. 21, no. 7, Apr., 1988, pg. 1519--1531, DOI, Online copy1, Online copy2, Online copy3, Online copy4. - [Borwein:1988:ETEa] Jonathan M. Borwein, "Ekeland's theorem and its extensions," May, 1988, Distinguished Lecturer Series, University of Delaware, Newark, DE, USA.
- [Borwein:1988:ETEb] Jonathan M. Borwein, "Ekeland's theorem and its extensions," Jun., 1988, Colloquium, University of New England, Armidale, NSW, Australia.
- [Borwein:1988:ETEc] Jonathan M. Borwein, "Ekeland's theorem and its extensions," Aug., 1988, Colloquium, Melbourne University, Melbourne, VIC, Australia.
- [Borwein:1988:MCK] Jonathan M. Borwein, "Mosco convergence and the Kadec property," Aug., 1988, Workshop on Functional Analysis and Optimization, Australian National University, Canberra, ACT, Australia., Online copy1.
- [Borwein:1988:MRT] J. M. Borwein and P. B. Borwein, "More Ramanujan-type series for $ 1 / \pi $,"
*Ramanujan revisited (Urbana-Champaign, Ill., 1987)*, Academic Press, New York, NY, USA, 1988, pg. 359--374. - [Borwein:1988:OPE] Jonathan M. Borwein, "Open problems on the existence of nearest points," Aug., 1988, Workshop on Functional Analysis and Optimization, Australian National University, Canberra, ACT, Australia.
- [Borwein:1988:PFC] Jonathan M. Borwein, "Partially-finite convex programming," Jan., 1988, AMS Winter Meetings, Atlanta, GA, USA.
- [Borwein:1988:RP] Jonathan M. Borwein and Peter B. Borwein, "Ramanujan and Pi,"
*Scientific American*, vol. 258, no. 2, Feb., 1988, pg. 112--117, DOI, Online copy1, Online copy2. - [Borwein:1988:STAa] Jonathan M. Borwein, "Subderivatives and their applications," Aug., 1988, Conference on Functional Analysis and Optimization, Australian National University, Canberra, ACT, Australia.
- [Borwein:1988:STAb] Jonathan M. Borwein, "Subderivatives and their applications," Sep., 1988, Joint Colloquium, University of New South Wales and Sydney University, Sydney, NSW, Australia.
- [Borwein:1988:VNS] J. M. Borwein and D. M. Zhuang, "Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps,"
*Journal of Mathematical Analysis and Applications*, vol. 134, no. 2, 1988, pg. 441--459, DOI, Online copy1, Online copy2. - [Demir:1988:PSSa] Huseyn Demir and Gene Arnold and Vaclav Konecny, "Problems and Solutions: Solutions of Elementary Problems: E3164,"
*American Mathematical Monthly*, vol. 95, no. 7, Aug., 1988, pg. 660--661. - [Deutsch:1988:PSSa] Emeric Deutsch and Jonathan M. Borwein and Paul Cull and G. Behrendt, "Problems and Solutions: Solutions of Elementary Problems: E3159,"
*American Mathematical Monthly*, vol. 95, no. 6, Jun., 1988, pg. 557--558, DOI. - [Gessel:1988:PSSb] Ira Gessel and David Callan, "Problems and Solutions: Solutions of Elementary Problems: E3161,"
*American Mathematical Monthly*, vol. 95, no. 8, Oct., 1988, pg. 770--771. - [Nicolaescu:1988:PSSb] L. I. Nicolaescu and A. A. Jagers and Robert E. Shafer, "Problems and Solutions: Solutions of Elementary Problems: E3160,"
*American Mathematical Monthly*, vol. 95, no. 8, Oct., 1988, pg. 769--770. - [Wimp:1988:BRP] Jet Wimp, "Book Review: Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity,"
*SIAM Review*, vol. 30, no. 3, Sep., 1988, pg. 530--533, Online copy1. - [Borwein:1989:ACL] D. Borwein and J. M. Borwein and R. Shail, "Analysis of certain lattice sums,"
*Journal of Mathematical Analysis and Applications*, vol. 143, no. 1, 1989, pg. 126--137, DOI, Online copy1, Online copy2. - [Borwein:1989:AFM] Jonathan M. Borwein, "APICSslash FRASER medal presentation talk," May, 1989, Dalhousie University, Halifax, NS, Canada.
- [Borwein:1989:ARM] J. M. Borwein and P. B. Borwein, "Approximating $ \pi $ with Ramanujan's modular equations,"
*Rocky Mountain Journal of Mathematics*, vol. 19, no. 1, 1989, pg. 93--102, DOI. - [Borwein:1989:CPH] Jonathan M. Borwein, "The calculation of pi. How, why, what?," Feb., 1989, Nova Scotia Institute of Science, Halifax, NS, Canada.
- [Borwein:1989:ENP] Jonathan M. Borwein and Simon Fitzpatrick, "Existence of nearest points in Banach spaces,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 41, no. 4, 1989, pg. 702--720, DOI, Online copy1. - [Borwein:1989:HC] J. M. Borwein and H. M. Strojwas, "The hypertangent cone,"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 13, no. 2, 1989, pg. 125--144, DOI, Online copy1, Online copy2. - [Borwein:1989:LBM] Jon Borwein and Simon Fitzpatrick, "Local boundedness of monotone operators under minimal hypotheses,"
*Bulletin of the Australian Mathematical Society*, vol. 39, no. 3, 1989, pg. 439--441, DOI, Online copy1. - [Borwein:1989:LOC] J. M. Borwein and M. A. H. Dempster, "The linear order complementarity problem,"
*Mathematics of Operations Research*, vol. 14, no. 3, 1989, pg. 534--558, DOI, Online copy1. - [Borwein:1989:MCK] Jonathan M. Borwein and Simon Fitzpatrick, "Mosco convergence and the Kadec property,"
*Proceedings of the American Mathematical Society*, vol. 106, no. 3, 1989, pg. 843--851, DOI, Online copy1. - [Borwein:1989:MCP] Jonathan M. Borwein, "Minimal CUSCOS and Preisses theorem," Jun., 1989, Miniconference on Optimization Theory, University of Pau, France.
- [Borwein:1989:MCT] Jonathan M. Borwein, "Minimal CUSCOS and their applications," Jun., 1989, Plenary talk, Conference on Fixed Point Theory, CIRM, Marseille, France.
- [Borwein:1989:MI] J. M. Borwein and P. B. Borwein, "On the Mean Iteration $ (a, b) \leftarrow \big (\frac {a + 3b}{4}, \frac {\sqrt {ab} + b}{2} \big) $,"
*Mathematics of Computation*, vol. 53, no. 187, Jul., 1989, pg. 311--326, DOI, Online copy1. - [Borwein:1989:PAG] Jonathan M. Borwein, "Pi and the arithmetic--geometric mean," Apr., 1989, Colloquium, Rutger's University, New Brunswick, NJ, USA.
- [Borwein:1989:PEN] J. M. Borwein and P. B. Borwein and K. Dilcher, "Pi, Euler numbers, and asymptotic expansions,"
*American Mathematical Monthly*, vol. 96, no. 8, 1989, pg. 681--687, DOI, Online copy1. - [Borwein:1989:PER] Jonathan M. Borwein, "Pi, Euler, Ramanujan, and MAPLE," Nov., 1989, Colloquium, Department of Computer Science, University of Manitoba, Winnipeg, MB, Canada.
- [Borwein:1989:QMIa] Jonathan M. Borwein, "Quadratic Mean Iterations," Mar., 1989, Carleton Universityslash Universite d'Ottawa joint Colloquium, Carleton University, Ottawa, ON, Canada.
- [Borwein:1989:QMIb] Jonathan M. Borwein, "Quadratic Mean Iterations," Apr., 1989, Seminar, Rutger's University, New Brunswick, NJ, USA.
- [Borwein:1989:RME] J. M. Borwein and P. B. Borwein and D. H. Bailey, "Ramanujan, modular equations, and approximations to pi, or How to compute one billion digits of pi,"
*American Mathematical Monthly*, vol. 96, no. 3, Mar., 1989, pg. 201--219, DOI, Online copy1, Online copy2. - [Borwein:1989:SFC] Jonathan M. Borwein, "Semi-finite convex programming," Oct., 1989, ORSAslash TIMS National Meeting, New York (presented by A. Lewis).
- [Fabian:1989:STL] Marian Fabian, "Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss,"
*Acta Univ. Carolin. Math. Phys.*, vol. 30, no. 2, 1989, pg. 51--56. - [Kimberling:1989:PSS] Clark Kimberling and David Callan, "Problems and Solutions: Solutions of Elementary Problems: E3163,"
*American Mathematical Monthly*, vol. 96, no. 1, Jan., 1989, pg. 57--57. - [Miller:1989:FER] Harry I. Miller, "A further extension of a result of Borwein and Ditor,"
*Real Anal. Exchange*, vol. 15, no. 2, 1989/90, pg. 713--723. - [Miller:1989:GRB] Harry I. Miller, "Generalization of a Result of Borwein and Ditor,"
*Proceedings of the American Mathematical Society*, vol. 105, no. 4, Apr., 1989, pg. 889--893, DOI, Online copy1. - [Monsky:1989:PSS] Paul Monsky, "Problems and Solutions: Solutions of Elementary Problems: E3162,"
*American Mathematical Monthly*, vol. 96, no. 3, Mar., 1989, pg. 258--259. - [Rudin:1989:PSE] Walter Rudin, "Problems and Solutions: Elementary Problems: E3325,"
*American Mathematical Monthly*, vol. 96, no. 5, May, 1989, pg. 445--445, DOI. - [Beer:1990:MCR] Gerald Beer and Jonathan M. Borwein, "Mosco convergence and reflexivity,"
*Proceedings of the American Mathematical Society*, vol. 109, no. 2, 1990, pg. 427--436, DOI, Online copy1. - [Borwein:1990:BRG] Jonathan Borwein, "Book Review: Generalized Concavity (Mordecai Avriel, Walter E. Diewert, Siegfried Schaible, and Israel Zang),"
*SIAM Review*, vol. 32, no. 4, Dec., 1990, pg. 689--690, DOI. - [Borwein:1990:CPAa] Jonathan M. Borwein, "Convex programming approaches to moment, curve, and signal estimation," Aug., 1990, Miniconference on Optimization Theory, Dalhousie University, Halifax, NS, Canada.
- [Borwein:1990:CPAb] Jonathan M. Borwein, "Convex programming approaches to moment, curve, and signal estimation," Aug., 1990, Miniconference on Optimization Theory, Dalhousie University, Halifax, NS, Canada.
- [Borwein:1990:CPCa] Jonathan M. Borwein, "Convex programming and the choice of entropy in spectral estimation," Nov., 1990, Seminar, Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, Canada.
- [Borwein:1990:CPCb] Jonathan M. Borwein, "Convex programming and the choice of entropy in spectral estimation," Nov., 1990, Seminar, Department of Combinatorics and Optimization, Waterloo, Waterloo, ON, Canada.
- [Borwein:1990:DPCa] Jonathan M. Borwein, "Differentiability properties of convex, Lipschitz and semicontinuous functions," Apr., 1990, Ontario Math Meetings #88, Brock University, St. Catharines, ON, Canada.
- [Borwein:1990:DPCb] Jonathan M. Borwein, "Differentiability properties of convex, Lipschitz and semicontinuous functions," Apr., 1990, Ontario Math Meetings #88, Brock University, St. Catharines, ON, Canada.
- [Borwein:1990:DPLa] Jonathan M. Borwein, "Differentiability properties of Lipschitz functions," May, 1990, Nonlinear Analysis Seminar #1, Technion, Haifa, Israel.
- [Borwein:1990:DPLb] Jonathan M. Borwein, "Differentiability properties of lower semicontinuous functions," May, 1990, Nonlinear Analysis Seminar #2, Technion, Haifa, Israel.
- [Borwein:1990:DPLc] Jonathan M. Borwein, "Differentiability properties of Lipschitz functions," May, 1990, Nonlinear Analysis Seminar #1, Technion, Haifa, Israel.
- [Borwein:1990:DPLd] Jonathan M. Borwein, "Differentiability properties of lower semicontinuous functions," May, 1990, Nonlinear Analysis Seminar #2, Technion, Haifa, Israel.
- [Borwein:1990:DRN] Jonathan Borwein and Peter B. Borwein,
*A dictionary of real numbers*, Wadsworth, Pacific Grove, CA, USA, 1990, pg. viii + 424. - [Borwein:1990:ETSa] Jonathan M. Borwein, "Ekeland's theorem and the smooth variational principle," Apr., 1990, Conference on Topological Methods, Brock University, St. Catharines, ON, Canada.
- [Borwein:1990:ETSb] Jonathan M. Borwein, "Ekeland's theorem and the smooth variational principle," Apr., 1990, Conference on Topological Methods, Brock University, St. Catharines, ON, Canada.
- [Borwein:1990:GMSa] Jonathan M. Borwein, "Greek mathematics and the story of the circle," Dec., 1990, Junior High presentation, Dalhousie University, Halifax, NS, Canada.
- [Borwein:1990:GMSb] Jonathan M. Borwein, "Greek mathematics and the story of the circle," Dec., 1990, Junior High presentation, Dalhousie University, Halifax, NS, Canada.
- [Borwein:1990:HCPa] Jonathan M. Borwein, "The history of the computation of PI," Mar., 1990, APICS Lecture, University of Prince Edward Island, Charlottetown, PE C1A 4P3, Canada.
- [Borwein:1990:HCPb] Jonathan M. Borwein, "The history of the computation of PI," Mar., 1990, APICS Lecture, St. Francis Xavier University, Antigonish, NS, Canada.
- [Borwein:1990:HCPc] Jonathan M. Borwein, "The history of the computation of PI," Mar., 1990, APICS Lecture, Memorial University, St John's, NL, Canada.
- [Borwein:1990:HCPd] Jonathan M. Borwein, "The history of the computation of PI," Apr., 1990, APICS Lecture, Universite de Moncton, Moncton, NB, Canada.
- [Borwein:1990:HCPe] Jonathan M. Borwein, "The history of the computation of PI," Mar., 1990, APICS Lecture, University of Prince Edward Island, Charlottetown, PE C1A 4P3, Canada.
- [Borwein:1990:HCPf] Jonathan M. Borwein, "The history of the computation of PI," Mar., 1990, APICS Lecture, St. Francis Xavier University, Antigonish, NS, Canada.
- [Borwein:1990:HCPg] Jonathan M. Borwein, "The history of the computation of PI," Mar., 1990, APICS Lecture, Memorial University, St John's, NL, Canada.
- [Borwein:1990:HCPh] Jonathan M. Borwein, "The history of the computation of PI," Apr., 1990, APICS Lecture, Universite de Moncton, Moncton, NB, Canada.
- [Borwein:1990:MCAa] Jonathan M. Borwein, "Minimal CUSCOS and applications to Lipschitz functions," Jan., 1990, AMS Winter Meetings, Louisville, KY, USA.
- [Borwein:1990:MCAb] Jonathan M. Borwein, "Minimal CUSCOS and applications to Lipschitz functions," May, 1990, Nonlinear Analysis Seminar #3, Technion, Haifa, Israel.
- [Borwein:1990:MCAc] Jonathan M. Borwein, "Minimal CUSCOS and applications to Lipschitz functions," Jan., 1990, AMS Winter Meetings, Louisville, KY, USA.
- [Borwein:1990:MCAd] Jonathan M. Borwein, "Minimal CUSCOS and applications to Lipschitz functions," May, 1990, Nonlinear Analysis Seminar #3, Technion, Haifa, Israel.
- [Borwein:1990:PERa] Jonathan M. Borwein, "Pi, Euler, Ramanujan, and MAPLE," Jan., 1990, APICS Lecture, Mount St Vincent University, Halifax, NS, Canada.
- [Borwein:1990:PERb] Jonathan M. Borwein, "Pi, Euler, Ramanujan, and MAPLE," Jan., 1990, APICS Lecture, Mount Allison University, Sackville, NB, Canada.
- [Borwein:1990:PERc] Jonathan M. Borwein, "Pi, Euler, Ramanujan, and MAPLE," Mar., 1990, APICS Lecture, University College of Cape Breton, Sydney, NS B1P 6L2, Canada.
- [Borwein:1990:PERe] Jonathan M. Borwein, "Pi, Euler, Ramanujan, and MAPLE," Apr., 1990, APICS Lecture, University of New Brunswick, Moncton, NB, Canada.
- [Borwein:1990:PERf] Jonathan M. Borwein, "Pi, Euler, Ramanujan, and MAPLE," Jun., 1990, Seminar, Technion, Haifa, Israel.
- [Borwein:1990:PERg] Jonathan M. Borwein, "Pi, Euler, Ramanujan, and MAPLE," Jan., 1990, APICS Lecture, Mount St Vincent University, Halifax, NS, Canada.
- [Borwein:1990:PERh] Jonathan M. Borwein, "Pi, Euler, Ramanujan, and MAPLE," Jan., 1990, APICS Lecture, Mount Allison University, Sackville, NB, Canada.
- [Borwein:1990:PERi] Jonathan M. Borwein, "Pi, Euler, Ramanujan, and MAPLE," Mar., 1990, APICS Lecture, University College of Cape Breton, Sydney, NS B1P 6L2, Canada.
- [Borwein:1990:PERj] Jonathan M. Borwein, "Pi, Euler, Ramanujan, and MAPLE," Mar., 1990, APICS Lecture, Acadia University, Wolfville, NS B4P 2R6, Canada.
- [Borwein:1990:PERk] Jonathan M. Borwein, "Pi, Euler, Ramanujan, and MAPLE," Apr., 1990, APICS Lecture, University of New Brunswick, Moncton, NB, Canada.
- [Borwein:1990:PERl] Jonathan M. Borwein, "Pi, Euler, Ramanujan, and MAPLE," Jun., 1990, Seminar, Technion, Haifa, Israel.
- [Borwein:1990:RCM] J. M. Borwein and P. B. Borwein, "A remarkable cubic mean iteration,"
*Lecture Notes in Mathematics*, vol. 1435, 1990, pg. 27--31, DOI, Online copy1. - [Borwein:1990:SDPa] J. M. Borwein, "A survey of differentiability properties of convex, Lipschitz and lsc functions,"
*Seminaire d'initiation a l'analyze*, Gustave Choquet and others, ed., Publ. Math. Univ. Pierre et Marie Curie, Paris, France, 1990, Online copy1. - [Borwein:1990:SDPb] Jonathan M. Borwein, "A survey of differentiability properties of convex, Lipschitz and semicontinuous functions," May, 1990, Seminar, Technion Israel.
- [Borwein:1990:SDPc] Jonathan M. Borwein, "A survey of differentiability properties of convex, Lipschitz and semicontinuous functions," May, 1990, Seminar, Ben Gurion University, Israel.
- [Borwein:1990:SDPd] Jonathan M. Borwein, "A survey of differentiability properties of convex, Lipschitz and semicontinuous functions," May, 1990, Seminar, Technion, Haifa, Israel.
- [Borwein:1990:SDPe] Jonathan M. Borwein, "A survey of differentiability properties of convex, Lipschitz and semicontinuous functions," May, 1990, Seminar, Ben Gurion University, Israel.
- [Borwein:1990:SSH] J. M. Borwein and P. B. Borwein, "Strange Series and High Precision Fraud," Preliminary Report, Department of Mathematics, Statistics and Computing Science, Dalhousie University, Sep., 1990.
- [Knuth:1990:PSSa] D. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. Borwein, "Problems and Solutions: Solutions of Elementary Problems: E3335,"
*American Mathematical Monthly*, vol. 97, no. 10, 1990, pg. 927, Online copy1. - [Knuth:1990:PSSb] D. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. Borwein, "Problems and Solutions: Solutions of Elementary Problems: E3335,"
*American Mathematical Monthly*, vol. 97, no. 10, 1990, pg. 927, Online copy1. - [Knuth:1990:PSSc] D. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. Borwein, "Problems and Solutions: Solutions of Elementary Problems: E3335,"
*American Mathematical Monthly*, vol. 97, no. 10, Dec., 1990, pg. 927--927, DOI. - [Lord:1990:BRD] Nick Lord, "Book Review: A Dictionary of Real Numbers,"
*Mathematical Gazette*, vol. 74, no. 470, Dec., 1990, pg. 395--396, Online copy1. - [Sturm:1990:PSE] Jacob Sturm, "Problems and Solutions: Elementary Problems: E3384,"
*American Mathematical Monthly*, vol. 97, no. 5, May, 1990, pg. 427--427, DOI. - [Bailey:1991:BRD] David H. Bailey, "Book Review: Jonathan Borwein and Peter Borwein, A Dictionary of Real Numbers, Wadsworth & Brooksslash Cole Advanced Books & Software, Pacific Grove, California, 1990, viii + 424 pp., 281 cm. Price $69.95,"
*Mathematics of Computation*, vol. 56, no. 193, Jan., 1991, pg. 403--404, Online copy1. - [Borowski:1991:HDM] E. J. Borowski and J. M. Borwein,
*The HarperCollins dictionary of mathematics*, HarperPerennial, New York, NY, USA, 1991, pg. xii + 659. - [Borwein:1991:CBE] Jonathan M. Borwein and Adrian S. Lewis, "Convergence of best entropy estimates,"
*SIAM Journal on Optimization*, vol. 1, no. 2, 1991, pg. 191--205, DOI, Online copy1. - [Borwein:1991:CCJ] J. M. Borwein and P. B. Borwein, "A cubic counterpart of Jacobi's identity and the AGM,"
*Transactions of the American Mathematical Society*, vol. 323, no. 2, Feb., 1991, pg. 691--701, DOI, Online copy1, Online copy2. - [Borwein:1991:CMP] Jonathan M. Borwein and Adrian S. Lewis, "On the convergence of moment problems,"
*Transactions of the American Mathematical Society*, vol. 325, no. 1, May, 1991, pg. 249--271, DOI, Online copy1, Online copy2. - [Borwein:1991:CPCa] Jonathan M. Borwein, "Convex programming and the choice of entropy in spectral estimation," May, 1991, First Plenary talk, Journees d'Optimization, Universite de Limoges, Limoges, France.
- [Borwein:1991:CPCb] Jonathan M. Borwein, "Convex programming and the choice of entropy in spectral estimation," May, 1991, Special session on Dynamic Optimization, CMS Summer Meeting, Universite de Sherbrooke, Sherbrooke, QC, Canada.
- [Borwein:1991:DAOa] Jonathan M. Borwein, "Discovering analytic objects by computer," Jan., 1991, Miniconference on Symbolic computation, Dalhousie University, Halifax, NS, Canada.
- [Borwein:1991:DAOb] Jonathan M. Borwein, "Discovering analytic objects by computer," Jan., 1991, Miniconference on Symbolic computation, Dalhousie University, Halifax, NS, Canada.
- [Borwein:1991:DAOc] Jonathan M. Borwein, "Discovering analytic objects by computer," Nov., 1991, Colloquium, Department of Mathematics, Guelph University, Guelph, ON, Canada.
- [Borwein:1991:DRE] Jonathan M. Borwein and Adrian S. Lewis, "Duality relationships for entropy-like minimization problems,"
*SIAM Journal on Control and Optimization*, vol. 29, no. 2, 1991, pg. 325--338, DOI, Online copy1. - [Borwein:1991:EAU] Jonathan M. Borwein, "Estimation and approximation using infinite dimensional convex programs with entropy type objectives," Oct., 1991, Special session on Constrained Approximation, AMS Regional Meeting, University of North Dakota, Fargo, ND, USA.
- [Borwein:1991:EMRa] Jonathan M. Borwein, "Euler, Mahler, Ramanujan: Discovering analytic objects by computer," Mar., 1991, Colloquium Pure Mathematics Department, Waterloo, Waterloo, ON, Canada.
- [Borwein:1991:EMRb] Jonathan M. Borwein, "Euler, Mahler, Ramanujan: Discovering analytic objects by computer," Apr., 1991, Number Theory Seminar, Universite de Limoges, Limoges, France.
- [Borwein:1991:EMRc] Jonathan M. Borwein, "Euler, Mahler, Ramanujan and a little Pi: Discovering analytic objects by computer," Apr., 1991, One of two invited talks at the Festkolloquium for Dr. A. Peyerimhoff 's 65th birthday, Ulm, Germany.
- [Borwein:1991:EMRd] Jonathan M. Borwein, "Euler, Mahler, Ramanujan: Discovering analytic objects by computer," May, 1991, Seminar Project Algorithms Group, INRIA, Paris.
- [Borwein:1991:EMRe] Jonathan M. Borwein, "Euler, Mahler, Ramanujan: Discovering analytic objects by computer," Jun., 1991, Colloquium, Department of Mathematics, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1991:FPI] David Borwein and Jonathan Borwein, "Fixed point iterations for real functions,"
*Journal of Mathematical Analysis and Applications*, vol. 157, no. 1, 1991, pg. 112--126, DOI, Online copy1. - [Borwein:1991:GFB] Jonathan M. Borwein, "On the generating function of $ [n a + b] $," Jun., 1991, International Conference on Functional Equations, Acadia University, Wolfville, NS B4P 2R6, Canada., Online copy1.
- [Borwein:1991:MCS] J. M. Borwein, "Minimal CUSCOS and subgradients of Lipschitz functions,"
*Fixed point theory and applications (Marseille, 1989)*, Longman Scientific and Technical, Harlow, Essex, UK, 1991, pg. 57--81. - [Borwein:1991:MCU] Jonathan Borwein and Simon Fitzpatrick and Petar Kenderov, "Minimal convex uscos and monotone operators on small sets,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 43, no. 3, 1991, pg. 461--476, DOI, Online copy1. - [Borwein:1991:NR] Jonathan M. Borwein and G. de Barra, "Nested radicals,"
*American Mathematical Monthly*, vol. 98, no. 8, 1991, pg. 735--739, DOI, Online copy1. - [Borwein:1991:PCF] Jonathan M. Borwein and Adrian S. Lewis, "Practical conditions for Fenchel duality in infinite dimensions,"
*Fixed point theory and applications (Marseille, 1989)*, J-B. Baillon and M. Thera, ed., Longman Scientific and Technical, Harlow, Essex, UK, 1991, pg. 83--89. - [Borwein:1991:RP] Jonathan M. Borwein and Peter B. Borwein, "Ramanujan and Pi," 1991, in Ferris:1991:WTP, pg. 647--659, Online copy1.
- [Borwein:1991:RWLa] Jonathan M. Borwein, "Ramanujan: the wonderful life of the Indian mathematical genius S. Ramanujan (1887--1920)," Jun., 1991, Seminar, Faculty of Science, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1991:RWLb] Jonathan M. Borwein, "Ramanujan: the wonderful life of the Indian mathematical genius S. Ramanujan (1887--1920)," Jul., 1991, Colloquium, Combinatorics and Optimization, University of Waterloo, Waterloo, ON, Canada.
- [Borwein:1991:SDPa] Jonathan M. Borwein, "A survey of differentiability properties of convex, Lipschitz and semicontinuous functions," Apr., 1991, Colloquium, Universitat Stuttgart, Stuttgart, Germany.
- [Borwein:1991:SDPb] Jonathan M. Borwein, "A survey of differentiability properties of convex, Lipschitz and semicontinuous functions," May, 1991, Optimization Seminar, Universite de Limoges, Limoges, France.
- [Borwein:1991:SDPc] Jonathan M. Borwein, "A survey of differentiability properties of convex, Lipschitz and semicontinuous functions," May, 1991, Analysis Seminar, Universite de Paris VI, Paris, France.
- [Borwein:1991:SDPd] Jonathan M. Borwein, "A survey of differentiability properties of convex, Lipschitz and semicontinuous functions," Oct., 1991, Analysis Seminar, York University, Toronto, ON, Canada.
- [Borwein:1991:SEC] J. M. Borwein and D. M. Zhuang, "Super efficiency in convex vector optimization,"
*Zeitschrift fur Operations Research. Mathematical Methods of Operations Research*, vol. 35, no. 3, 1991, pg. 175--184, DOI, Online copy1. - [Borwein:1991:SGB] J. M. Borwein and P. B. Borwein, "A singular genius: [book review] The Man Who Knew Infinity. A Life of the Indian Genius Ramanujan. Robert Kanigel, Scribner, New York, 1991. x + 438 pp. + plates, $27.95,"
*Science*, vol. 253, no. 5017, Jul., 1991, pg. 334--335, DOI, Online copy1, Online copy2. - [Ferris:1991:WTP] Timothy Ferris, ed.,
*The World Treasury of Physics, Astronomy, and Mathematics*, Little, Brown and Co., Boston, MA, USA, 1991, pg. xv + 859. - [Marcos:1991:CPB] Raydan M. Marcos, "Convergence properties of the Barzilai and Borwein gradient method," Thesis (Ph.D.), Rice University, 1991, Online copy1.
- [Zhuang:1991:BCC] D. M. Zhuang, "Bases of convex cones and Borwein's proper efficiency,"
*Journal of Optimization Theory and Applications*, vol. 71, no. 3, 1991, pg. 613--620, DOI. - [Borwein:1992:ASW] Jonathan Borwein and Shi Tuo Lou, "Asymptotics of a sequence of Witt vectors,"
*Journal of Approximation Theory*, vol. 69, no. 3, 1992, pg. 326--337, DOI, Online copy1, Online copy2. - [Borwein:1992:BRS] Jonathan Borwein, "Book Review: Set-valued analysis, J-P. Aubin and H. Frankowska,"
*Bulletin of the American Mathematical Society (new series)*, vol. 26, no. 1, 1992, pg. 157--160, DOI. - [Borwein:1992:CEM] Jonathan M. Borwein, "A communications example: Maple and Pari," Jun., 1992, Annual Maple Retreat, Sparrow Lake, ON, Canada.
- [Borwein:1992:DMF] Jonathan M. Borwein and Adrian S. Lewis, "Decomposition of multivariate functions,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 44, no. 3, 1992, pg. 463--482, DOI, Online copy1. - [Borwein:1992:DPC] J. Borwein, "Differentiability properties of convex, of Lipschitz, and of semicontinuous mappings on Banach spaces,"
*Optimization and nonlinear analysis (Haifa, 1990)*, Longman Scientific and Technical, Harlow, Essex, UK, 1992, pg. 39--52. - [Borwein:1992:EAU] Jonathan M. Borwein, "Estimation and approximation using infinite dimensional convex programs with entropy type objectives," Feb., 1992, Colloquium, Industrial and Organizational Engineering, University of Michigan, Ann Arbor, MI, USA.
- [Borwein:1992:EMRa] Jonathan M. Borwein, "Euler, Mahler, Ramanujan: Discovering analytic objects by computer," Feb., 1992, Colloquium, Department of Mathematics, York University, Toronto, ON, Canada.
- [Borwein:1992:EMRb] Jonathan M. Borwein, "Euler, Mahler, Ramanujan: Discovering analytic objects by computer," Feb., 1992, Seminar, Department of Mathematics, University of Michigan, Ann Arbor, MI, USA.
- [Borwein:1992:FEG] J. M. Borwein and I. J. Zucker, "Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind,"
*IMA Journal of Numerical Analysis*, vol. 12, no. 4, 1992, pg. 519--526, DOI. - [Borwein:1992:FME] Jonathan M. Borwein, "On the failure of `maximum entropy' reconstruction for Fredholm operators and other infinite dimensional systems," May, 1992, 14th Symposium on Mathematical Programming with Data Perturbations, George Washington University, Washington, DC, USA, 10. June 15th.
- [Borwein:1992:FSOa] Jonathan M. Borwein, "First and second order differentiability of convex functions on various Banach spaces," May, 1992, Variational Analysis and Related Topics, University of California at Davis, Davis, CA, USA.
- [Borwein:1992:FSOb] Jonathan M. Borwein, "First and second order differentiability of convex functions on various Banach spaces," Aug., 1992, Variational Analysis and Related Topics, First World Congress of Nonlinear Analysts, Tampa, FL, USA.
- [Borwein:1992:GCE] Jonathan M. Borwein, "Guided Computer Experimentation in Mathematics: Euler, Mahler, Ramanujan and Maple," May, 1992, Harry H. Gehman Lecture, MAAslash OMM Meeting, Queen's University, Kingston, ON, Canada.
- [Borwein:1992:IDE] Jonathan M. Borwein, "Infinite dimensional entropy minimization: a tutorial," May, 1992, 14th Symposium on Mathematical Programming with Data Perturbations, George Washington University, Washington, DC, USA.
- [Borwein:1992:IMSa] Jonathan M. Borwein, "Iterative methods for solving inverse problems and computing fixed points," Apr., 1992, Colloquium, Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, NS, Canada.
- [Borwein:1992:IMSb] Jonathan M. Borwein, "Iterative methods for solving inverse problems and computing fixed points," Apr., 1992, Colloquium, Department of Pure Mathematics, University of Western Ontario, London, ON, Canada.
- [Borwein:1992:IMSc] Jonathan M. Borwein, "Iterative methods for solving inverse problems and computing fixed points," Sep., 1992, Third FrancoLatin American Conference on Applied Mathematics, Santiago, Chile.
- [Borwein:1992:KMI] Jonathan Borwein and Simeon Reich and Itai Shafrir, "Krasnosel'ski--Mann iterations in normed spaces,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 35, no. 1, 1992, pg. 21--28, DOI. - [Borwein:1992:MHP] Jonathan M. Borwein and Mark A. Limber, "Maple as a High Precision Calculator,"
*Maple Technical Newsletter*, vol. 0, no. 8, Fall, 1992, pg. 39--44, Online copy1. - [Borwein:1992:PFCa] Jonathan M. Borwein and Adrian S. Lewis, "Partially finite convex programming. I. Quasi relative interiors and duality theory,"
*Mathematical Programming*, vol. 57, no. 1--3, 1992, pg. 15--48, DOI, Online copy1, Online copy2. - [Borwein:1992:PFCb] Jonathan M. Borwein and Adrian S. Lewis, "Partially finite convex programming, Part II: Explicit lattice models,"
*Mathematical Programming*, vol. 57, no. 1--3, 1992, pg. 49--83, DOI, Online copy1, Online copy2. - [Borwein:1992:SDP] J. M. Borwein, "A survey of differentiability properties of convex, Lipschitz and lsc functions,"
*Optimization and Nonlinear Analysis: Proceedings of the Technion Special Semester on Nonlinear Analysis (Spring 1990)*, A. Ioffe and M. Marcus and S. Reich, ed., Longman, Essex, UK, 1992, pg. 39--52. - [Borwein:1992:SEC] J. M. Borwein and A. Ben Tal and M. Teboulle, "Spectral estimation via convex programming,"
*Systems and Management Science by extremal methods: research honoring Abraham Charnes at age 70*, Kluwer Academic Publishers Group, Norwell, MA, USA, and Dordrecht, The Netherlands, 1992, pg. 275--290. - [Borwein:1992:SOC] Jonathan Borwein and Peter B. Borwein, "Some Observations on Computer Aided Analysis,"
*Notices of the American Mathematical Society*, vol. 39, no. 8, 1992, pg. 825--829. - [Borwein:1992:SSH] J. M. Borwein and P. B. Borwein, "Strange Series and High Precision Fraud,"
*American Mathematical Monthly*, vol. 99, no. 7, Aug., 1992, pg. 622--640, DOI. - [Borwein:1992:STS] J. M. Borwein and M. Thera, "Sandwich theorems for semicontinuous operators,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 35, no. 4, 1992, pg. 463--474, DOI. - [Cook:1992:PSS] Matthew Cook and Walther Janous and Marcin E. Kuczma and David Borwein, "Problems and Solutions: Solutions of Elementary Problems: E3388,"
*American Mathematical Monthly*, vol. 99, no. 1, Jan., 1992, pg. 69--70, DOI. - [Bauschke:1993:CNA] H. H. Bauschke and J. M. Borwein, "On the convergence of von Neumann's alternating projection algorithm for two sets,"
*Set-Valued Analysis*, vol. 1, no. 2, 1993, pg. 185--212, DOI, Online copy1, Online copy2. - [Beer:1993:MSC] Gerald Beer and Jonathan M. Borwein, "Mosco and Slice Convergence of Level Sets and Graphs of Linear Functionals,"
*Journal of Mathematical Analysis and Applications*, vol. 175, no. 1, 1993, pg. 53--67, DOI, Online copy1, Online copy2. - [Borwein:1993:AAL] Jonathan M. Borwein, "An analyst's approach to linear inequality systems," Feb., 1993, Seminar, Department of Mathematics, University of Colorado, Boulder, CO, USA.
- [Borwein:1993:ASS] J. M. Borwein, "Asplund spaces are sequentially reflexive," 1993, Accepted for publication in the Canadian Journal of Mathematics, but withdrawn and merged with another paper. Jon Borwein recorded that as publication number 121, but because the article numbers changed with each update of his CV, that number has long been incorrect.
- [Borwein:1993:CAMa] Jonathan M. Borwein, "Computer assisted `Mathematics and Plausible Reasoning'," Feb., 1993, Kempner Colloquium, Department of Mathematics, University of Colorado, Boulder, CO, USA.
- [Borwein:1993:CAMb] Jonathan M. Borwein, "Computer assisted `Mathematics and Plausible Reasoning'," Apr., 1993, Colloquium, Department of Mathematics, Pennsylvania State University, State College, PA, USA.
- [Borwein:1993:CDS] Jonathan M. Borwein and Adrian S. Lewis, "Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces,"
*Set-Valued Analysis*, vol. 1, no. 4, 1993, pg. 355--363, DOI, Online copy1. - [Borwein:1993:CEU] J. M. Borwein and R. K. Goodrich and M. A. Limber, "A comparison of entropies in the underdetermined moment problem," May, 1993, Preprint.
- [Borwein:1993:CFH] J. M. Borwein and M. Fabian, "On convex functions having points of Gateaux differentiability which are not points of Frechet differentiability,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 45, no. 6, 1993, pg. 1121--1134, DOI, Online copy1. - [Borwein:1993:CNT] J. M. Borwein and P. B. Borwein, "Class number three Ramanujan type series for $ 1 / \pi $,"
*Journal of Computational and Applied Mathematics*, vol. 46, no. 1--2, Jun., 1993, pg. 281--290, DOI, Online copy1, Online copy2. - [Borwein:1993:CPE] Jonathan M. Borwein, "Convex programming and entropy type functions," Sep., 1993, Plenary Lecture, XVIII Symposium on Operations Research, University of Cologne.
- [Borwein:1993:DKK] J. M. Borwein and J. Vanderwerff, "Dual Kadec--Klee norms and the relationships between Wijsman, slice and Mosco convergence,"
*ArXiv Mathematics e-prints*, Feb., 1993, Online copy1. - [Borwein:1993:FME] Jonathan M. Borwein, "On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems,"
*Mathematical Programming*, vol. 61, no. 2, Ser. A, 1993, pg. 251--261, DOI, Online copy1. - [Borwein:1993:FSOa] Jonathan M. Borwein, "First and second order differentiability of convex functions on various Banach spaces," Feb., 1993, Colloquium, University of Western Ontario, London, ON, Canada.
- [Borwein:1993:FSOb] Jonathan M. Borwein, "First and second order differentiability of convex functions on various Banach spaces," May, 1993, Regional Functional Analysis Conference, Miami University, Oxford, OH, USA.
- [Borwein:1993:GFI] J. M. Borwein and P. B. Borwein, "On the generating function of the integer part: $ [n \alpha + \gamma] $,"
*Journal of Number Theory*, vol. 43, no. 3, 1993, pg. 293--318, DOI, Online copy1, Online copy2. - [Borwein:1993:GSO] J. M. Borwein and M. Fabian, "On generic second-order Gateaux differentiability,"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 20, no. 12, 1993, pg. 1373--1382, DOI, Online copy1, Online copy2. - [Borwein:1993:HAA] J. Borwein and P. Borwein and F. Garvan, "Hypergeometric analogues of the arithmetic--geometric mean iteration,"
*Constructive Approximation*, vol. 9, no. 4, 1993, pg. 509--523, DOI, Online copy1, Online copy2. - [Borwein:1993:HCPa] Jonathan M. Borwein, "A history of the computation of Pi," Feb., 1993, Undergraduate Colloquium, University of Western Ontario, London, ON, Canada.
- [Borwein:1993:HCPb] Jonathan M. Borwein, "A history of the computation of Pi," Mar., 1993, Colloquium, University of Vermont, Burlington, VT, USA.
- [Borwein:1993:ICM] Jonathan M. Borwein and Peter B. Borwein, "Inequalities for Compound Mean Iterations with Logarithmic Asymptotes,"
*Journal of Mathematical Analysis and Applications*, vol. 177, no. 2, 1993, pg. 572--582, DOI, Online copy1, Online copy2. - [Borwein:1993:LLFa] J. M. Borwein and M. Fabian and J. Vanderwerff, "Locally Lipschitz Functions and Bornological Derivatives,"
*ArXiv Mathematics e-prints*, Feb., 1993, Online copy1, Online copy2. - [Borwein:1993:LLFb] Jonathan M. Borwein and Marian Fabian and Jon Vanderwerff, "Locally Lipschitz functions and bornological derivatives," CECM Research Report, Centre for Experimental and Constructive Mathematics (CECM) at Simon Fraser University (SFU), 93:012, Nov., 1993, Online copy1.
- [Borwein:1993:MIE] Jonathan M. Borwein, "Means, iterations and experimentally induced identities," Aug., 1993, MAA-CMS Invited Lecture, Joint AMSslash MAAslash CMS Summer Meetings, University of British Columbia, Vancouver, BC, Canada.
- [Borwein:1993:MMB] Jonathan M. Borwein and Peter B. Borwein, "Mathematical Malaises: Book Review: Pi in the sky: counting, thinking and being, John D. Barrow. Clarendon (Oxford University Press), New York, 1992. xii, 317 pp., illus. $25,"
*Science*, vol. 259, no. 5103, Mar., 1993, pg. 1928--1930, DOI, Online copy1. - [Borwein:1993:PFP] Jonathan M. Borwein and Adrian S. Lewis, "Partially-finite programming in $ L_1 $ and the existence of maximum entropy estimates,"
*SIAM Journal on Optimization*, vol. 3, no. 2, 1993, pg. 248--267, DOI, Online copy1. - [Borwein:1993:PSPa] Jonathan M. Borwein, "Problems and Solutions: Problems: 10281,"
*American Mathematical Monthly*, vol. 100, no. 1, Jan., 1993, pg. 76--77, DOI. - [Borwein:1993:PSPb] David Borwein and Jonathan Borwein, "Problems and Solutions: Problems: 10335,"
*American Mathematical Monthly*, vol. 100, no. 8, Oct., 1993, pg. 796--798, DOI. - [Borwein:1993:RWL] Jonathan M. Borwein, "S. Ramanujan: a Wonderful Life?," Oct., 1993, South Asian Colloquium of the Pacific Northwest, Harbour Centre, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1993:SCR] Jonathan M. Borwein and Adrian S. Lewis, "A Survey of Convergence Results for Maximum Entropy Methods,"
*Maximum entropy and Bayesian methods (Paris, 1992)*, A. Mohammad-Djafari and G. Demoments, ed., Kluwer Academic Publishers Group, Norwell, MA, USA, and Dordrecht, The Netherlands, 1993, pg. 39--48, DOI, Online copy1. - [Borwein:1993:SEV] J. M. Borwein and D. Zhuang, "Super efficiency in vector optimization,"
*Transactions of the American Mathematical Society*, vol. 338, no. 1, 1993, pg. 105--122, DOI. - [Borwein:1993:SIS] Jonathan M. Borwein, "Some intriguing series involving (4)," May, 1993, Tutte Seminar, Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, Canada.
- [Borwein:1993:SIT] Jonathan M. Borwein, "Shrum Inaugural Talk," Oct., 1993, Harbour Centre, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1993:TEE] Jonathan M. Borwein, "Three examples of experimental computational analysis?," Oct., 1993, Pacific Northwest Numerical Analysis Seminar, University of Washington, Seattle, WA, USA.
- [Borwein:1993:WEM] Jonathan M. Borwein, "What is experimental Mathematics?," Sep., 1993, Applied Mathematics Colloquium, University of British Columbia, Vancouver, BC, Canada.
- [Borwein:1993:WHS] Jonathan M. Borwein and Simon Fitzpatrick, "A weak Hadamard smooth renorming of $ L_1 (\Omega, \mu) $,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 36, no. 4, 1993, pg. 407--413, DOI, Online copy1, Online copy2. - [Byerly:1993:PSP] Robert E. Byerly and Murray S. Klamkin and A. Liu and Stephen M. Gagola, Jr. and L. E. Mattics and Raphael M. Robinson and M. Al-Ahmar and Donald E. Knuth and Jonathan M. Borwein, "Problems and Solutions: Problems: 10274--10281,"
*American Mathematical Monthly*, vol. 100, no. 1, 1993, pg. 75--77, DOI. - [Hirschhorn:1993:CAJ] Michael Hirschhorn and Frank Garvan and Jon Borwein, "Cubic analogues of the Jacobian theta function $ \theta (z, q) $,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 45, no. 4, 1993, pg. 673--694, DOI, Online copy1. - [Raydan:1993:BBC] Marcos Raydan, "On the Barzilai and Borwein choice of steplength for the gradient method,"
*IMA Journal of Numerical Analysis*, vol. 13, no. 3, 1993, pg. 321--326, DOI. - [Richter:1993:PSP] R. Bruce Richter and Josef Siran and Carl Pomerance and Kiran S. Kedlaya and Michael Golomb and John Sarli and David Borwein and Jonathan Borwein and Ignacy I. Kotlarski and Horst Alzer, "Problems and Solutions: Problems: 10330--10337,"
*American Mathematical Monthly*, vol. 100, no. 8, 1993, pg. 796--798, DOI. - [Bailey:1994:EEE] David H. Bailey and Jonathan M. Borwein and Roland Girgensohn, "Experimental evaluation of Euler sums,"
*Experimental Mathematics*, vol. 3, no. 1, 1994, pg. 17--30, DOI, Online copy1, Online copy2. - [Bauschke:1994:DAP] H. H. Bauschke and J. M. Borwein, "Dykstra's alternating projection algorithm for two sets,"
*Journal of Approximation Theory*, vol. 79, no. 3, 1994, pg. 418--443, DOI, Online copy1, Online copy2. - [Bejancu:1994:EBP] Aurelian Bejancu, "On the Ekeland and Borwein--Preiss principles in finite dimensions,"
*An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat.*, vol. 40, no. 1, 1994, pg. 63--67. - [Borwein:1994:CGS] Jonathan M. Borwein, "Characterizations of generalized subgradients amongst one-dimensional multifunctions: and extensions," Dec., 1994, CMS Winter Meeting, Special Session on Nonsmooth Analysis Meridien Hotel, McGill University, Montreal, QC, Canada.
- [Borwein:1994:CMI] Jonathan Borwein, "A convergent mean iteration: a proof that $ x_n \coloneq M(x_{n - 1}, x_{n - 2}, \cdots, x_{n - k}) $ converges,"
*Aequationes Mathematicae*, vol. 47, no. 1, 1994, pg. 115--118, DOI, Online copy1. - [Borwein:1994:CPP] Jonathan M. Borwein and J. Zhu, "Control problems with perturbations in non-reflexive space," Dec., 1994, 33rd CDCIEEE Meetings Orlando, FL, USA.
- [Borwein:1994:DKK] Jon Borwein and Jon Vanderwerff, "Dual Kadec--Klee norms and the relationships between Wijsman, slice, and Mosco convergence,"
*Michigan Mathematical Journal*, vol. 41, no. 2, 1994, pg. 371--387, DOI. - [Borwein:1994:ECFa] Jon Borwein and Simon Fitzpatrick and Jon Vanderwerff, "Examples of convex functions and classifications of normed spaces,"
*Journal of Convex Analysis*, vol. 1, no. 1, 1994, pg. 61--73, Online copy1, Online copy2. - [Borwein:1994:ECFb] Jonathan M. Borwein, "Examples of convex functions and classification of normed spaces," Jun., 1994, Plenary talk, VII Colloque Franco--Allemand d'Optimisation, Dijon, France., Online copy1.
- [Borwein:1994:EML] Jonathan M. Borwein and Adrian S. Lewis and Mark A. Limber, "Entropy Minimization with Lattice Bounds,"
*Journal of Approximation Theory*, vol. 79, no. 1, 1994, pg. 1--16, DOI, Online copy1, Online copy2. - [Borwein:1994:EMPa] Jonathan M. Borwein and Adrian S. Lewis and Roger D. Nussbaum, "Entropy Minimization, $ D A D $ Problems, and Doubly Stochastic Kernels,"
*Journal of Functional Analysis*, vol. 123, no. 2, 1994, pg. 264--307, DOI, Online copy1, Online copy2. - [Borwein:1994:EMPb] Jonathan M. Borwein, "Experimental mathematics, promises and pitfalls," Aug., 1994, Maple Summer Workshop and Symposium.
- [Borwein:1994:EMPc] Jonathan M. Borwein, "Experimental mathematics, promises and pitfalls," Nov., 1994, Colloquium, Department of Mathematics, Indiana University, Bloomington, IN, USA.
- [Borwein:1994:EMPd] Jonathan M. Borwein, "Experimental mathematics, promises and pitfalls," Nov., 1994, Colloquium, Department of Mathematics and Statistics, University of Calgary, Calgary, AB, Canada.
- [Borwein:1994:FAS] Jon Borwein and Jon Vanderwerff, "Further arguments for slice convergence in nonreflexive spaces,"
*Set-Valued Analysis*, vol. 2, no. 4, 1994, pg. 529--544, DOI, Online copy1. - [Borwein:1994:FED] Jonathan M. Borwein and Roland Girgensohn, "Functional equations and distribution functions,"
*Results Math.*, vol. 26, no. 3--4, 1994, pg. 229--237, DOI, Online copy1. - [Borwein:1994:GCP] Jonathan M. Borwein, "Giuga's conjecture on primality," Oct., 1994, Centre de Recherche Mathematiques XXV Anniversary Conference, Montreal, Quebec., Online copy1.
- [Borwein:1994:GME] Jonathan M. Borwein, "Greek Mathematics and Especially the Story of the Circle," Apr., 1994, High School Science Evening, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1994:MEM] Jonathan M. Borwein, "Maximization entropy methods (using derivative information) and infinite dimensional convex programming," Aug., 1994, XV International Mathematical Programming Symposium, Ann Arbor, MI, USA.
- [Borwein:1994:NASa] Jonathan M. Borwein, "Nonsmooth analysis in smooth Banach spaces," Jan., 1994, Colloquium, Department of Mathematics, University of Washington, Seattle, WA, USA.
- [Borwein:1994:NASb] Jonathan M. Borwein, "Nonsmooth analysis in smooth Banach spaces," Mar., 1994, Analysis Seminar, University of California, Santa Barbara, Santa Barbara, CA, USA.
- [Borwein:1994:NASc] Jonathan M. Borwein, "Nonsmooth analysis in smooth Banach spaces," Apr., 1994, Colloquium, University of Victoria, Victoria, BC, Canada.
- [Borwein:1994:NASd] Jonathan M. Borwein, "Nonsmooth analysis in smooth Banach spaces," Jul., 1994, Colloquium, University of Limoges, Limoges, France.
- [Borwein:1994:NRS] Jonathan M. Borwein and Marian Fabian, "A note on regularity of sets and of distance functions in Banach space,"
*Journal of Mathematical Analysis and Applications*, vol. 182, no. 2, 1994, pg. 566--570, DOI, Online copy1. - [Borwein:1994:SCM] J. M. Borwein and P. B. Borwein and F. G. Garvan, "Some cubic modular identities of Ramanujan,"
*Transactions of the American Mathematical Society*, vol. 343, no. 1, May, 1994, pg. 35--47, DOI, Online copy1, Online copy2. - [Borwein:1994:SOD] Jonathan M. Borwein and Dominikus Noll, "Second order differentiability of convex functions in Banach spaces,"
*Transactions of the American Mathematical Society*, vol. 342, no. 1, Mar., 1994, pg. 43--81, DOI, Online copy1, Online copy2. - [Borwein:1994:SRO] Jonathan M. Borwein and Adrian S. Lewis, "Strong rotundity and optimization,"
*SIAM Journal on Optimization*, vol. 4, no. 1, 1994, pg. 146--158, DOI, Online copy1. - [Borwein:1994:STE] David Borwein and Jonathan M. Borwein, "On Some Trigonometric and Exponential Lattice Sums,"
*Journal of Mathematical Analysis and Applications*, vol. 188, no. 1, 1994, pg. 209--218, DOI, Online copy1, Online copy2. - [Borwein:1994:UCM] J. M. Borwein and W. Huang, "Uniform convergence for moment problems with Fermi--Dirac type entropies,"
*ZOR --- Mathematical Methods of Operations Research*, vol. 40, no. 3, 1994, pg. 239--252, DOI, Online copy1, Online copy2. - [Borwein:1994:UMP] J. M. Borwein and M. A. Limber, "Underdetermined moment problems: a case for convex analysis,"
*SIAG/OPT*, no. 5, Fall, 1994, pg. 9--13. - [Borwein:1994:VDT] Jonathan M. Borwein, "Viscosity derivatives: theory and applications," Aug., 1994, XV International Mathematical Programming Symposium, Ann Arbor, MI, USA.
- [Borwein:1994:VHD] Jonathan M. Borwein, "The vision: how do we integrate ... mature computation techniques," Aug., 1994, Maple Summer Workshop and Symposium.
- [Borwein:1994:WEMa] Jonathan M. Borwein, "What is Experimental Mathematics?," Mar., 1994, Colloquium, University of California, Santa Barbara, Santa Barbara, CA, USA.
- [Borwein:1994:WEMb] Jonathan M. Borwein, "What's Experimental Mathematics?," Mar., 1994, Talk to Grade 12 Students Spring Break, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1994:WEMc] Jonathan M. Borwein, "What is Experimental Mathematics?," Apr., 1994, Algorithms Seminar, Samedi de Recherche, University of Ottawa, Ottawa, ON, Canada. 8. June 27th.
- [Borwein:1994:WTA] Jonathan M. Borwein, "Ways of thinking about duality," Aug., 1994, Student Session, XV International Mathematical Programming Symposium, Ann Arbor, MI, USA.
- [Yang:1994:EBP] Xin Min Yang, "The equivalence of Benson proper efficient solutions and Borwein proper efficient solutions,"
*Math. Appl. (Wuhan)*, vol. 7, no. 2, 1994, pg. 246--247. - [Bailey:1995:FNI] D. H. Bailey and J. M. Borwein and R. Girgensohn, "Finding new identities with supercomputers,"
*SIAM Conference on Parallel Computing, San Francisco, February 1995*, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1995. - [Bauschke:1995:CLM] H. H. Bauschke and J. M. Borwein, "Continuous linear monotone mappings in Banach space," CECM Research Report, Centre for Experimental and Constructive Mathematics (CECM) at Simon Fraser University (SFU), 95:049, Aug., 1995, Online copy1.
- [Berndt:1995:RTE] Bruce C. Berndt and S. Bhargharva and Frank G. Garvan, "Ramanujan's theories of elliptic functions to alternative bases,"
*Transactions of the American Mathematical Society*, vol. 347, no. 11, Nov., 1995, pg. 4163--4124, Online copy1. - [Borowski:1995:DCD] Ephraim J. Borowski and Jonathan M. Borwein,
*Dizionario Collins della matematica*, Gremese Editore, Roma, Italy, 1995, pg. 423. - [Borowski:1995:SXC] Ephraim J. Borowski and Jonathan M. Borwein,
*Shu xue ci dian*, Mao tou ying chu ban, Taibei, 1995, pg. 879. - [Borwein:1995:ATB] Jonathan M. Borwein and Roland Girgensohn, "Addition theorems and binary expansions,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 47, no. 2, 1995, pg. 262--273, DOI, Online copy1. - [Borwein:1995:CAD] Jonathan M. Borwein, "The cubic AGM discovered," Oct., 1995, Specialist Colloquium Lecture, University of Utrecht, Utrecht, The Netherlands.
- [Borwein:1995:CCH] Jonathan M. Borwein and Simon Fitzpatrick, "Closed convex Haar null sets," CECM Research Report, Centre for Experimental and Constructive Mathematics (CECM) at Simon Fraser University (SFU), 95:052, Aug., 1995, Online copy1.
- [Borwein:1995:CCS] J. M. Borwein and S. Fitzpatrick, "Characterization of Clarke subgradients among one-dimensional multifunctions,"
*Proceedings of the Optimization Miniconference II*, University of Ballarat, Ballarat, VI, Australia, 1995, pg. 5--12, Online copy1. - [Borwein:1995:CHNa] Jonathan M. Borwein, "Convex Haar null sets in separable Banach spaces," Oct., 1995, Lecture at Honoris Causa ceremony for R. T. Rockafellar, Universite de Montpelier II, Montpelier, France.
- [Borwein:1995:CHNb] Jonathan M. Borwein, "Convex Haar null sets in separable Banach spaces," Nov., 1995, Functional Analysis Seminar, Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, SK, Canada.
- [Borwein:1995:CLR] Jonathan M. Borwein and Jon D. Vanderwerff, "Convergence of Lipschitz regularizations of convex functions,"
*Journal of Functional Analysis*, vol. 128, no. 1, 1995, pg. 139--162, DOI, Online copy1, Online copy2. - [Borwein:1995:EEEa] David Borwein and Jonathan M. Borwein and Roland Girgensohn, "Explicit evaluation of Euler sums,"
*Proceedings of the Edinburgh Mathematical Society (2)*, vol. 38, no. 2, Jun., 1995, pg. 277--294, DOI, Online copy1. - [Borwein:1995:EEEb] Jonathan M. Borwein, "Experimental evaluation of Euler sums," May, 1995, Halberstam retirement conference, Urbana, IL, USA, May 16--21, 1995., Online copy1.
- [Borwein:1995:EMPa] Jonathan M. Borwein, "Experimental mathematics, promises and pitfalls," Apr., 1995, Colloquium, Department of Mathematics and Computing Science, University of Northern British Columbia, Prince George, BC, Canada.
- [Borwein:1995:EMPb] Jonathan M. Borwein, "Experimental mathematics, promises and pitfalls," Jul., 1995, Principal Lecture, Australian Mathematical Society Meeting, University of Tasmania, Hobart, TAS, Australia.
- [Borwein:1995:EMPc] Jonathan M. Borwein, "Experimental mathematics, promises and pitfalls," Jul., 1995, University Public Lecture, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:1995:EMPd] Jonathan M. Borwein, "Experimental mathematics, promises and pitfalls," Jul., 1995, Colloquium, Department of Mathematics and Statistics, University of Western Australia, Crawley, WA 6009, Australia.
- [Borwein:1995:EMPe] Jonathan M. Borwein, "Experimental mathematics, promises and pitfalls," Aug., 1995, Colloquium, Department of Mathematics and Statistics, Murdoch University. Perth, WA, Australia.
- [Borwein:1995:EMPf] Jonathan M. Borwein, "Experimental mathematics: promises and pitfalls," Oct., 1995, General Colloquium Lecture, University of Utrecht, Utrecht, The Netherlands.
- [Borwein:1995:EMPg] Jonathan M. Borwein, "Experimental mathematics, promises and pitfalls," Nov., 1995, Colloquium, Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, SK, Canada.
- [Borwein:1995:ESD] Jonathan M. Borwein, "Essentially strictly differentiable Lipschitz functions," Mar., 1995, West Coast Optimization Meeting, University of Washington, Seattle, WA, USA.
- [Borwein:1995:FHMa] J. M. Borwein and W. Z. Huang, "A fast heuristic method for polynomial moment problems with Boltzmann--Shannon entropy,"
*SIAM Journal on Optimization*, vol. 5, no. 1, 1995, pg. 68--99, DOI, Online copy1. - [Borwein:1995:FHMb] J. M. Borwein and M. N. Limber and D. Noll, "Fast heuristic methods for function reconstruction using derivative information,"
*Applicable Analysis*, vol. 58, no. 3--4, 1995, pg. 241--261, DOI, Online copy1. - [Borwein:1995:IIS] David Borwein and Jonathan M. Borwein, "On an intriguing integral and some series related to $ \zeta (4) $,"
*Proceedings of the American Mathematical Society*, vol. 123, no. 4, 1995, pg. 1191--1198, DOI, Online copy1. - [Borwein:1995:KCa] Jonathan M. Borwein, "On Khinchine's Constant," Jul., 1995, Seminar, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:1995:KCb] Jonathan M. Borwein, "On Khinchine's Constant," Dec., 1995, Colloquium, Department of Mathematics and Statistics, University of Calgary, Calgary, AB, Canada.
- [Borwein:1995:MCF] Jonathan M. Borwein and Kenneth R. Davidson, "Mathematics in Canada: the future of mathematics in Canada 50 years later,"
*Canadian Mathematical Society. 1945--1995*, Canadian Mathematical Society, Ottawa, ON, Canada, 1995, pg. 231--268 (249--268 franciai). - [Borwein:1995:MEMa] J. M. Borwein and P. B. Borwein and R. Girgensohn and S. Parnes, "Mathematical Experimentation and Methodology," Jan., 1995, Unpublished report.
- [Borwein:1995:MEMb] Jonathan M. Borwein, "Maximum entropy methods (using derivative information) and infinite dimensional convex programming," Jul., 1995, Principal Lecture, Optimization Miniconference, University of NSW, Sydney, NSW, Australia. 11. July 17th.
- [Borwein:1995:MEMc] Jonathan M. Borwein, "Essentially strictly differentiable Lipschitz functions," Jul., 1995, Seminar, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:1995:MEMd] Jonathan M. Borwein, "Maximum entropy methods (using derivative information) and infinite dimensional convex programming," Aug., 1995, Pure Mathematics Seminar, University of Western Australia, Crawley, WA 6009, Australia.
- [Borwein:1995:MER] J. M. Borwein and A. S. Lewis and M. N. Limber and D. Noll, "Maximum entropy reconstruction using derivative information. II. Computational results,"
*Numerische Mathematik*, vol. 69, no. 3, 1995, pg. 243--256, DOI, Online copy1, Online copy2. - [Borwein:1995:MMTa] Jonathan M. Borwein, "Minimal multifunctions and their applications," Jan., 1995, Special Session on multivalued nonlinear dynamics, AMS Winter Meeting, Hilton Hotel, San Francisco, CA, USA.
- [Borwein:1995:MMTb] Jonathan M. Borwein, "Minimal multifunctions and their applications," Apr., 1995, Workshop on Nonsmooth Analysis and Applications, University of California at Santa Barbara, Santa Barbara, CA, USA, April 1--2.
- [Borwein:1995:MSE] Jonathan M. Borwein and Peter B. Borwein and Roland Girgensohn and S. Parnes, "Making sense of experimental mathematics," CECM preprint, Centre for Experimental and Constructive Mathematics (CECM) at Simon Fraser University (SFU), 95:032, 1995, Online copy1.
- [Borwein:1995:SCB] Jonathan Borwein and Simon Fitzpatrick, "$ {\rm Weak}^\ast $ sequential compactness and bornological limit derivatives,"
*Journal of Convex Analysis*, vol. 2, no. 1--2, 1995, pg. 59--67, Online copy1. - [Borwein:1995:SEC] Jonathan M. Borwein, "A survey of examples of convex functions and classifications of normed spaces,"
*Recent Developments in Optimization: Seventh French--German Conference on Optimization (Dijon 1994)*, Roland Durier and Chistian Michelot, ed., Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1995, pg. 60--71, DOI, Online copy1. - [Borwein:1995:SRS] Jonathan M. Borwein and Jon D. Vanderwerff, "A survey on renorming and set convergence,"
*Topological Methods in Nonlinear Analysis*, vol. 5, no. 2, 1995, pg. 211--228, Online copy1, Online copy2. - [Borwein:1995:VDT] Jonathan M. Borwein, "Viscosity derivatives: theory and applications," Jun., 1995, Analysis Seminar, University of Auckland, New Zealand.
- [Borwein:1995:VSFa] Jonathan M. Borwein, "Virtual Science: the future of mathematical research," Feb., 1995, President's Lecture Series, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1995:VSFb] Jonathan M. Borwein, "Virtual Science: the future of mathematical research," Mar., 1995, Science I, University of British Columbia, Vancouver, BC, Canada.
- [Borwein:1995:WEM] Jonathan M. Borwein, "What is Experimental mathematics?," Oct., 1995, Principal Lecture, Workshop on Experimental Mathematics, CARMA, Technical University of Denmark, Lyngby, Denmark.
- [Cohen:1995:AAA] G. (Gerard) Cohen and Marc Giusti and Teo Mora, ed.,
*Applied algebra, algebraic algorithms, and error-correcting codes: 11th international symposium, AAECC-11, Paris, France, July 1995: proceedings*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1995, pg. xi + 484, Online copy1. - [Limber:1995:DRF] M. A. Limber and M. N. Limber and A. Celler and J. S. Barney and J. M. Borwein, "Direct reconstruction of functional parameters for dynamic SPECT,"
*IEEE Transactions on Nuclear Science*, vol. 42, no. 4, Aug., 1995, pg. 1249--1256, DOI, Online copy1, Online copy2. - [Sole:1995:A] Patrick Sole, "$ D_4 $, $ E_6 $, $ E_8 $ and the AGM," 1995, in Cohen:1995:AAA, pg. 448--455, DOI.
- [Bauschke:1996:PAS] Heinz H. Bauschke and Jonathan M. Borwein, "On Projection Algorithms for Solving Convex Feasibility Problems,"
*SIAM Review*, vol. 38, no. 3, Sep., 1996, pg. 367--426, DOI, Online copy1, Online copy2. - [Borwein:1996:ASC] D. Borwein and J. M. Borwein and Xianfu Wang, "Approximate subgradients and coderivatives in $ {\bf R}^n $,"
*Set-Valued Analysis*, vol. 4, no. 4, 1996, pg. 375--398, DOI, Online copy1, Online copy2. - [Borwein:1996:BRE] Jonathan M. Borwein and Rob M. Corless, "Book Review: The Encyclopedia of Integer Sequences, by N. J. A. Sloane and Simon Plouffe. Academic Press, San Diego, CA, 1995. $44.95. xii + 587 pp., hardcover. ISBN 0-12-558630-2,"
*SIAM Review*, vol. 38, no. 2, Jun., 1996, pg. 333--337, DOI, Online copy1. - [Borwein:1996:BSAa] J. M. Borwein and J. D. Vanderwerff, "Banach spaces that admit support sets,"
*Proceedings of the American Mathematical Society*, vol. 124, no. 3, 1996, pg. 751--755, DOI, Online copy1. - [Borwein:1996:BSAb] J. M. Borwein and J. D. Vanderwerff, "Banach spaces that admit support sets,"
*Proceedings of the American Mathematical Society*, vol. 124, no. 3, Mar., 1996, pg. 751--756, DOI, Online copy1, Online copy2. - [Borwein:1996:CAA] Jonathan M. Borwein, "Convex Analysis and Applications," Aug., 1996, AMS Mathfest, University of Washington, Seattle, WA, USA.
- [Borwein:1996:DAM] Jonathan M. Borwein and Peter B. Borwein and Stephen Braham and Robert Corless and Loki Jorgenson, "Digitally Activated Mathematics for a Brave New World Wide Web,"
*Education, Research and Perspectives*, vol. 23, no. 2, Dec., 1996, pg. 28--47, Online copy1, Online copy2, Online copy3. - [Borwein:1996:DMW] Jonathan M. Borwein, "Doing Mathematics on the Web," Nov., 1996, Colloquium, Department of Mathematics, University of British Columbia, Vancouver, BC, Canada.
- [Borwein:1996:EFE] Jonathan M. Borwein and David M. Bradley and David J. Broadhurst, "Evaluations of $k$-fold Eulerslash Zagier sums: a compendium of results for arbitrary $k$,"
*ArXiv High Energy Physics --- Theory e-prints*, Nov., 1996, Online copy1, Online copy2. - [Borwein:1996:EMP] Jonathan M. Borwein, "Experimental mathematics, promises and pitfalls," Feb., 1996, Colloquium & MAA Visiting Lecture, Department of Mathematics, Western Washington University, Bellingham, WA 98225, USA.
- [Borwein:1996:ETE] Jonathan M. Borwein and Roland Girgensohn, "Evaluation of triple Euler sums,"
*Electronic Journal of Combinatorics*, vol. 3, no. 1, 1996, pg. Research Paper 23, Online copy1, Online copy2. - [Borwein:1996:EUC] Jonathan M. Borwein and Jon D. Vanderwerff, "Epigraphical and uniform convergence of convex functions,"
*Transactions of the American Mathematical Society*, vol. 348, no. 4, Apr., 1996, pg. 1617--1631, DOI, Online copy1, Online copy2. - [Borwein:1996:GCP] D. Borwein and J. M. Borwein and P. B. Borwein and R. Girgensohn, "Giuga's conjecture on primality,"
*American Mathematical Monthly*, vol. 103, no. 1, 1996, pg. 40--50, DOI, Online copy1. - [Borwein:1996:MER] J. M. Borwein and A. S. Lewis and D. Noll, "Maximum entropy reconstruction using derivative information. I. Fisher information and convex duality,"
*Mathematics of Operations Research*, vol. 21, no. 2, 1996, pg. 442--468, DOI, Online copy1. - [Borwein:1996:MESa] Jonathan M. Borwein, "Multidimensional Euler Sums: some Recent Results," Jun., 1996, Combinatorics and Graph Theory Conference (in honour of Herbert Wilf's 65th birthday), June 13--15, University of Pennsylvania, Philadelphia, PA 19104, USA.
- [Borwein:1996:MESb] Jonathan M. Borwein, "Multidimensional Euler Sums: some Recent Results," Aug., 1996, CECM Conference on Analysis and its Computational Applications, Simon Fraser University, Burnaby, BC, Canada, August 14--15.
- [Borwein:1996:MESc] Jonathan M. Borwein, "Multidimensional Euler Sums: some Recent Results," Aug., 1996, Fifth Canadian Number Theory Association Meeting, Carleton University, Ottawa, ON, Canada, August 17--22.
- [Borwein:1996:MMM] Jonathan M. Borwein, "Multi-modal Mathematics," Nov., 1996, First Annual TeleLearning Meeting and Conference (as part of Plenary --- Theme 5: Post Secondary Education), Montreal, QC, Canada, November 5--7.
- [Borwein:1996:MPW] Jonathan M. Borwein, "Mathematical publishing on the web," Sep., 1996, 10th Pacific North West Numerical Analysis Seminar, Vancouver, BC, Canada., Online copy1.
- [Borwein:1996:MSE] Jonathan Borwein and Peter B. Borwein and Roland Girgensohn and S. Parnes, "Making sense of experimental mathematics,"
*The Mathematical Intelligencer*, vol. 18, no. 4, Fall, 1996, pg. 12--18, DOI, Online copy1. - [Borwein:1996:OMP] Jonathan M. Borwein, "The Organic Mathematics Proceedings," Mar., 1996, Colloquium, University of Manitoba, Winnipeg, MB, Canada.
- [Borwein:1996:PAS] Jonathan M. Borwein and Alexander Ioffe, "Proximal analysis in smooth spaces,"
*Set-Valued Analysis*, vol. 4, no. 1, 1996, pg. 1--24, DOI, Online copy1. - [Borwein:1996:PSR] Jonathan M. Borwein, "Problems and Solutions: Revivals: 10281,"
*American Mathematical Monthly*, vol. 103, no. 10, 1996, pg. 911--912, Online copy1. - [Borwein:1996:PSS] Jonathan M. Borwein and Donald A. Darling and D. B. Tyler, "Problems and Solutions: Solutions: 10281,"
*American Mathematical Monthly*, vol. 103, no. 2, 1996, pg. 181--183, DOI. - [Borwein:1996:RP] Jonathan M. Borwein and Peter B. Borwein, "Ramanujan and Pi," 1996, in Faltings:1996:MM, pg. 60--68, Online copy1.
- [Borwein:1996:SSA] Jonathan Borwein and David Bradley, "Searching Symbolically for Apery-like Formulae for Values of the Riemann Zeta Function,"
*SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation)*, vol. 30, no. 2, Jun., 1996, pg. 2--7, DOI, Online copy1, Online copy2. - [Borwein:1996:VSC] Jonathan M. Borwein, "Virtual science: the changing face of Mathematics," Aug., 1996, National Council of Teachers of Mathematics, Canadian Regional Meeting, Vancouver, BC, Canada, August 22--23.
- [Borwein:1996:VSV] Jonathan M. Borwein and Qiji J. Zhu, "Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity,"
*SIAM Journal on Control and Optimization*, vol. 34, no. 5, 1996, pg. 1568--1591, DOI, Online copy1. - [Faltings:1996:MM] Gerd Faltings,
*Moderne Mathematik*, Spectrum Akademischer Verlag, Heidelberg, Germany, 1996, pg. 183. - [Molina:1996:PBB] Brigida Molina and Marcos Raydan, "Preconditioned Barzilai--Borwein method for the numerical solution of partial differential equations,"
*Numerical Algorithms*, vol. 13, no. 1--2, 1996, pg. 45--60, DOI. - [Octavio:1996:IT] Alfredo Octavio and Jonathan Borwein and Peter B. Borwein and Roland Girgensohn and S. Parnes, "The ``indexed'' theorem,"
*The Mathematical Intelligencer*, vol. 18, no. 4, Sep., 1996, pg. 9--18, DOI. - [Adamchik:1997:SF] Victor Adamchik and Stan Wagon, "A Simple Formula for $ \pi $,"
*American Mathematical Monthly*, vol. 104, no. 9, Nov., 1997, pg. 852--855, Online copy1. - [Bailey:1997:KC] David H. Bailey and Jonathan M. Borwein and Richard E. Crandall, "On the Khintchine constant,"
*Mathematics of Computation*, vol. 66, no. 217, 1997, pg. 417--431, DOI, Online copy1, Online copy2. - [Bailey:1997:QP] D. H. Bailey and J. M. Borwein and P. B. Borwein and S. Plouffe, "The quest for pi,"
*The Mathematical Intelligencer*, vol. 19, no. 1, 1997, pg. 50--57, DOI, Online copy1. - [Bailey:1997:RCV] David Bailey and Peter B. Borwein and Simon Plouffe, "On the rapid computation of various polylogarithmic constants,"
*Mathematics of Computation*, vol. 66, no. 218, Apr., 1997, pg. 903--913, Online copy1, Online copy2, Online copy3. - [Bailey:1997:RME] D. H. Bailey and J. M. Borwein and P. B. Borwein, "Ramanujan, modular equations, and approximations to pi or How to compute one billion digits of pi [MR0991866 (90d:11143)]," 1997, in Borwein:1997:OMP, pg. 35--71, Online copy1, Online copy2.
- [Bauschke:1997:CSC] H. H. Bauschke and J. M. Borwein and A. S. Lewis, "Convex sets and the cyclic projection algorithm,"
*Recent Developments in Optimization Theory and Nonlinear Analysis*, Yair Censor and Simeon Reich, ed., American Mathematical Society, Providence, RI, USA, 1997, pg. 1--38. - [Bauschke:1997:LFM] Heinz H. Bauschke and Jonathan M. Borwein, "Legendre functions and the method of random Bregman projections,"
*Journal of Convex Analysis*, vol. 4, no. 1, 1997, pg. 27--67, Online copy1, Online copy2. - [Bauschke:1997:MCP] Heinz H. Bauschke and Jonathan M. Borwein and Adrian S. Lewis, "The method of cyclic projections for closed convex sets in Hilbert space,"
*Recent developments in optimization theory and nonlinear analysis (Jerusalem, 1995)*, American Mathematical Society, Providence, RI, USA, 1997, pg. 1--38, DOI. - [Berggren:1997:PSB] J. L. Berggren and Jonathan M. Borwein and Peter B. Borwein, ed.,
*Pi, a source book*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1997, pg. xix + 716. - [Borwein:1997:ADE] J. M. Borwein and F. G. Garvan, "Approximations to $ \pi $ via the Dedekind eta function," 1997, in Borwein:1997:OMP, pg. 89--115, Online copy1.
- [Borwein:1997:AGMa] J. M. Borwein and P. B. Borwein, "The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions,"
*Pi: A Source Book*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1997, DOI, Online copy1. - [Borwein:1997:AGMb] Jonathan A. Borwein and Petr Lisonek and John A. Macdonald, "Arithmetic--Geometric Means Revisited,"
*Maple Technical Newsletter*, vol. 4, no. 1, Winter, 1997, pg. 20--27, Online copy1. - [Borwein:1997:APD] J. M. Borwein and F. Garvan, "Approximating Pi with the Dedekind eta function,"
*Organic Mathematics Proceedings, 12 April 1996*, 1997, Online copy1. - [Borwein:1997:CBS] J. Borwein and M. Fabian and J. Vanderwerff, "Characterizations of Banach spaces via convex and other locally Lipschitz functions,"
*Acta Math. Vietnam.*, vol. 22, no. 1, 1997, pg. 53--69, Online copy1. - [Borwein:1997:CFB] Jon Borwein and Jon Vanderwerff, "Convex functions on Banach spaces not containing $ l_1 $,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 40, no. 1, 1997, pg. 10--18, DOI, Online copy1. - [Borwein:1997:DDF] J. M. Borwein and Xianfu Wang, "Distinct differentiable functions may share the same Clarke subdifferential at all points,"
*Proceedings of the American Mathematical Society*, vol. 125, no. 3, 1997, pg. 807--813, DOI, Online copy1. - [Borwein:1997:DEM] Jonathan Borwein and Michael Monagan, "Differential Equations in Maple: a Short Tutorial,"
*Maple Technical Newsletter*, vol. 4, no. 1, Winter, 1997, pg. 55--58. - [Borwein:1997:DMWa] Jonathan M. Borwein, "Doing Mathematics on the Web," Jan., 1997, Colloquium, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1997:DMWb] Jonathan M. Borwein, "Doing Mathematics on the Web," Feb., 1997, Colloquium, Department of Mathematics, Stats and CS, Dalhousie University, Halifax, NS, Canada.
- [Borwein:1997:DMWc] Jonathan M. Borwein, "Doing Mathematics on the Web," Mar., 1997, Colloquium, Science Faculty, Malaspina University College, Nanaimo, BC, Canada.
- [Borwein:1997:DMWd] Jonathan M. Borwein, "Doing mathematics on the web: the organic mathematics collection," Aug., 1997, Two lectures, Canada--USA Mathcamps, Babson College, Wellesley, MA, USA.
- [Borwein:1997:DMWe] Jonathan M. Borwein, "Doing mathematics on the web," Oct., 1997, 1997 Elizabeth Laird Lecture, University of Winnipeg, Winnipeg, MB, Canada.
- [Borwein:1997:EDA] Jonathan Borwein and David Bradley, "Empirically determined Apery-like formulae for $ \zeta (4 n + 3) $,"
*Experimental Mathematics*, vol. 6, no. 3, 1997, pg. 181--194, DOI, Online copy1, Online copy2. - [Borwein:1997:EFE] Jonathan M. Borwein and David M. Bradley and David J. Broadhurst, "Evaluations of $k$-fold Eulerslash Zagier sums: a compendium of results for arbitrary $k$,"
*Electronic Journal of Combinatorics*, vol. 4, no. 2, 1997, pg. Research Paper 5, Online copy1. - [Borwein:1997:EMD] Jonathan M. Borwein, "Evaluation of multi-dimensional Eulerslash Zagier sums," Apr., 1997, AMS Special Session on Algebraic and Elementary Number Theory, Corvallis, OR, USA, April 19--20.
- [Borwein:1997:ESLa] Jonathan M. Borwein and Warren B. Moors, "Essentially smooth Lipschitz functions,"
*Journal of Functional Analysis*, vol. 149, no. 2, 1997, pg. 305--351, DOI, Online copy1, Online copy2. - [Borwein:1997:ESLb] Jonathan M. Borwein and Warren B. Moors, "Essentially smooth Lipschitz functions: compositions and chain rules,"
*Foundations of computational mathematics (Rio de Janeiro, 1997)*, F. Cucker and M. Shub, ed., Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1997, pg. 16--22. - [Borwein:1997:ISC] Jonathan M. Borwein, "Inverse symbolic calculation: empirical mathematics," Sep., 1997, CRM Workshop on Computer Algebra and Statistics, Montreal, QC, Canada, September 21--27.
- [Borwein:1997:LFM] J. M. Borwein and W. B. Moors, "Lipschitz functions with minimal Clarke subdifferential mappings,"
*Proceedings of the Optimization Miniconference III, University of Melbourne, July 1996*, B. M. Glover and D. Ralph, ed., University of Ballarat, Ballarat, VI, Australia, 1997, pg. 5--12, Online copy1. - [Borwein:1997:LFP] Jonathan M. Borwein and Warren B. Moors and Xianfu Wang, "Lipschitz functions with prescribed derivatives and subderivatives,"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 29, no. 1, 1997, pg. 53--63, DOI, Online copy1, Online copy2. - [Borwein:1997:MDP] Jonathan M. Borwein, "Multi-dimensional polylogarithmic sums," May, 1997, CRM Workshop on Experimental Mathematics and Combinatorics, Montreal, QC, Canada, May 19--23.
- [Borwein:1997:MEM] Jonathan M. Borwein, "Maximum Entropy Methods an Introduction," Mar., 1997, VHHSC Medical Imaging Group Open House, Vancouver Hospital and Health Science Centre, Vancouver, BC, Canada.
- [Borwein:1997:MIM] Jonathan M. Borwein and Carolyn Watters and Ephraim J. Borowski, ed.,
*The MathResource interactive math dictionary: version 1.0. The math visualizing program Newton and Leibniz didn't have. [An essential tool for high school, college and university students, teachers, scientists, engineers, researchers and anyone else who uses or studies mathematics]*, MathResources, Inc., Halifax, NS, Canada, 1997. - [Borwein:1997:MMS] Jonathan M. Borwein and Peter B. Borwein, "Mathematics on Main Street," Apr., 1997, Board--Faculty Association Dinner, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1997:MMa] Jonathan M. Borwein, "The MathResource and the MathBrowser," Jun., 1997, 13 presentations at NECC, Seattle, WA, USA.
- [Borwein:1997:MMb] Jonathan M. Borwein, "Multimodal Mathematics," Nov., 1997, Software Demonstrations, Telelearning NCE, Second Annual Conference, Toronto, ON, Canada.
- [Borwein:1997:MPWa] Jonathan M. Borwein, "Mathematical publishing on the web," Jun., 1997, CAMS--Fields Mini--Colloquium on Technology and Mathematical Education, Toronto, ON, Canada., Online copy1.
- [Borwein:1997:MPWb] Jonathan M. Borwein, "Mathematical publishing on the web," Sep., 1997, Colloquium, School of Mathematical Sciences, Lakehead University, Thunder Bay, ON P7B 5E1, Canada., Online copy1.
- [Borwein:1997:NEW] Jon Borwein and Michael Monagan, "A Note from the Editors: Winter 1997, Vol. 4, No. 1,"
*Maple Technical Newsletter*, vol. 4, no. 1, Winter, 1997, pg. 1--1. - [Borwein:1997:OJP] Jonathan Borwein and Richard Smith, "Online journal publication: two views from the electronic trenches,"
*Canadian Journal of Communication*, vol. 22, 1997, pg. 135--152, Online copy1. - [Borwein:1997:OMP] Jonathan M. Borwein and Peter B. Borwein and Loki Jorgenson and Rob Corless, ed.,
*Organic mathematics: proceedings of the Organic Mathematics Workshop, December 12--14, 1995, Simon Fraser University, Burnaby, British Columbia*, American Mathematical Society, Providence, RI, USA, 1997, pg. ix + 412. - [Borwein:1997:OPT] Jonathan M. Borwein, "Online publishing: two views from the electronic trenches," Mar., 1997, Scholarly Communication in the Next Millennium, Simon Fraser University (Harbour Centre), Burnaby, BC, Canada, March 5--8.
- [Borwein:1997:PEN] J. M. Borwein and P. B. Borwein and K. Dilcher, "Pi, Euler Numbers, and Asymptotic Expansions,"
*Pi: A Source Book*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1997, DOI, Online copy1, Online copy2. - [Borwein:1997:PSS] David Borwein and Jonathan Borwein and Heinz-Jurgen Seiffert and Robert D. Brown and Pawel Szeptycki, "Problems and Solutions: Solutions: 10335,"
*American Mathematical Monthly*, vol. 104, no. 1, 1997, pg. 72--74, DOI. - [Borwein:1997:PSV] Jonathan M. Borwein, "Partially smooth variational analysis," May, 1997, AMS Special Session on Optimization and Variational Analysis, Wayne State University, Detroit, MI, USA, May 2--4.
- [Borwein:1997:RME] J. M. Borwein and P. B. Borwein and D. H. Bailey, "Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi,"
*Pi: A Source Book*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 1997, DOI, Online copy1, Online copy2. - [Borwein:1997:SAD] J. M. Borwein and W. Sun, "The stability analysis of dynamic SPECT systems,"
*Numerische Mathematik*, vol. 77, no. 3, 1997, pg. 283--298, DOI, Online copy1, Online copy2. - [Borwein:1997:SAR] Jonathan M. Borwein and Jay Treiman and Qiji Zhu, "Sensitivity analysis in reflexive Banach spaces," Aug., 1997, Preprint.
- [Borwein:1997:SDI] Jonathan M. Borwein, "Symbolically discovered identities for ZETA(4N+3) and multidimensional polylogarithms," Jul., 1997, Penn State Number Theory Conference, July 31--Aug 3.
- [Borwein:1997:SRR] J. M. Borwein and E. Wong, "A survey of results relating to Giuga's conjecture on primality,"
*Advances in mathematical sciences: CRM's 25 years (Montreal, PQ, 1994)*, L. Vinet, ed., American Mathematical Society, Providence, RI, USA, 1997, pg. 13--27, Online copy1. - [Borwein:1997:TAPa] Jonathan M. Borwein, "Talking about Pi," May, 1997, Mathematics and Statistics Department Colloquium, Western Michigan University, Kalamazoo, MI, USA.
- [Borwein:1997:TAPb] Jonathan M. Borwein, "Talking about Pi," Aug., 1997, Two lectures, Canada--USA Mathcamps, Babson College, Wellesley, MA, USA.
- [Borwein:1997:TAPc] Jonathan M. Borwein, "Talking about Pi," Sep., 1997, Colloquium, School of Mathematical Sciences, Lakehead University, Thunder Bay, ON P7B 5E1, Canada.
- [Borwein:1997:TAPd] Jonathan M. Borwein, "Talking about Pi," Nov., 1997, Undergraduate Colloquium, University of Western Ontario, London, ON, Canada.
- [Borwein:1997:TASa] Jonathan M. Borwein, "Three adventures: Symbolically discovered identities for $ \zeta (4 n + 3) $ and like matters," Jul., 1997, Plenary talk, Formal Power Series and Algebraic Combinatorics, 9, Vienna, Austria, July 14--18.
- [Borwein:1997:TASb] Jonathan M. Borwein, "Three adventures: Symbolically discovered identities for $ \zeta (4 n + 3) $ and like matters," Oct., 1997, Joint CSslash C&O Colloquium, University of Waterloo, Waterloo, ON, Canada.
- [Borwein:1997:VAN] Jonathan M. Borwein and Qiji J. Zhu, "Variational analysis in nonreflexive spaces and applications to control problems with $ L^1 $ perturbations,"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 28, no. 5, 1997, pg. 889--915, DOI, Online copy1, Online copy2. - [Borwein:1997:VSC] Jonathan M. Borwein, "Virtual science: the changing face of mathematical research," Aug., 1997, Three lectures, Canada--USA Mathcamps, Babson College, Wellesley, MA, USA.
- [Borwein:1997:WOM] Jonathan M. Borwein and Peter B. Borwein and Robert M. Corless and Loki Jorgenson and Nathalie Sinclair, "What is organic mathematics?," 1997, in Borwein:1997:OMP, pg. 1--18, Online copy1, Online copy2.
- [Borwein:1997:WP] Jonathan M. Borwein, "Why Pi?," Oct., 1997, Colloquium, Department of Mathematics and Statistics, University of Winnipeg, Winnipeg, MB, Canada.
- [Galvin:1997:PSP] Fred Galvin and Franz Rothe and Wen-Xiu Ma and Dan Sachelarie and Vlad Sachelarie and Yury J. Ionin and Robin R. Lewis and Joseph Rosenblatt and Jonathan M. Borwein and C. G. Pinner, "Problems and Solutions: Problems: 10599--10605,"
*American Mathematical Monthly*, vol. 104, no. 6, 1997, pg. 566--567, DOI. - [Raydan:1997:BBG] Marcos Raydan, "The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem,"
*SIAM Journal on Optimization*, vol. 7, no. 1, 1997, pg. 26--33, DOI. - [Takahashi:1997:IAC] Daisuke Takahashi and Yasumasa Kanada, "Improvement of the algorithms for $ \pi $ calculation: the Gauss--Legendre algorithm and the Borwein's quartically convergent algorithm,"
*Transactions of the Information Processing Society of Japan*, vol. 38, no. 11, 1997, pg. 2406--2409. - [Borwein:1998:BHS] Jonathan M. Borwein, "Brouwer--Heyting sequences converge,"
*The Mathematical Intelligencer*, vol. 20, no. 1, 1998, pg. 14--15, DOI. - [Borwein:1998:BVF] Jonathan M. Borwein, "Brainstorming: views of the future," Nov., 1998, Presentation, First Workshop of the IMU Committee on Electronic Information and Communication, (Nov 13--14), Konrad-Zuse-Zentrum fur Informationstechnik, Berlin, Germany.
- [Borwein:1998:CAMa] Jonathan M. Borwein and David M. Bradley and David J. Broadhurst and Petr Lisonek, "Combinatorial aspects of multiple zeta values,"
*ArXiv Mathematics e-prints*, Dec., 1998, Online copy1, Online copy2. - [Borwein:1998:CAMb] Jonathan M. Borwein and David M. Bradley and David J. Broadhurst and Petr Lisonek, "Combinatorial aspects of multiple zeta values,"
*Electronic Journal of Combinatorics*, vol. 5, 1998, pg. Research Paper 38, Online copy1, Online copy2. - [Borwein:1998:CHP] J. M. Borwein and R. Girgensohn and Xianfu Wang, "On the construction of Holder and proximal subderivatives,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 41, no. 4, 1998, pg. 497--507, DOI, Online copy1. - [Borwein:1998:CML] David Borwein and Jonathan M. Borwein and Christopher Pinner, "Convergence of Madelung-like lattice sums,"
*Transactions of the American Mathematical Society*, vol. 350, no. 8, Aug., 1998, pg. 3131--3167, DOI, Online copy1, Online copy2. - [Borwein:1998:CMV] J. M. Borwein and Xianfu Wang, "The converse of the mean value theorem may fail generically,"
*American Mathematical Monthly*, vol. 105, no. 9, Nov., 1998, pg. 847--848, DOI, Online copy1, Online copy2. - [Borwein:1998:CNT] Jonathan M. Borwein, "Collaborative Networking Technology in the Mathematical Sciences," Nov., 1998, MITACSslash Canada--China Opening, Asia--Pacific Centre, University of British Columbia, Vancouver, BC, Canada.
- [Borwein:1998:CRE] Jonathan M. Borwein and Warren B. Moors, "A chain rule for essentially smooth Lipschitz functions,"
*SIAM Journal on Optimization*, vol. 8, no. 2, 1998, pg. 300--308, DOI, Online copy1. - [Borwein:1998:CSR] Jonathan M. Borwein and David M. Bradley and Richard E. Crandall, "Computational Strategies for the Riemann Zeta Function," Report, Centre for Experimental and Constructive Mathematics (CECM) at Simon Fraser University (SFU), CECM-98-118, Oct., 1998, Online copy1.
- [Borwein:1998:DRDa] Jonathan M. Borwein and David J. Broadhurst, "Determinations of rational Dedekind-zeta invariants of hyperbolic manifolds and Feynman knots and links,"
*ArXiv High Energy Physics --- Theory e-prints*, Nov., 1998, Online copy1, Online copy2, Online copy3. - [Borwein:1998:DRDb] Jonathan M. Borwein and David J. Broadhurst, "Determinations of rational Dedekind-zeta invariants of hyperbolic manifolds and Feynman knots and links," CECM Preprint, Centre for Experimental and Constructive Mathematics (CECM) at Simon Fraser University (SFU), 98:120, Nov., 1998, arXiv preprint hep-th/9811173., Online copy1.
- [Borwein:1998:ES] Jonathan M. Borwein, "Euler sums," Jun., 1998, CECM98 Analysis Day, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1998:GYI] Jonathan M. Borwein, "A generalization of Young's $ l^p $ inequality,"
*Mathematical Inequalities & Applications*, vol. 1, no. 1, 1998, pg. 131--136, DOI, Online copy1. - [Borwein:1998:HPS] Jonathan M. Borwein, "High Performance Symbolic Computing: A Mathematician's Perspective," Oct., 1998, Plenary Lecture, NESRC-MSRI Workshop on Parallel Symbolic Computation (Oct. 1--3), Berkeley, CA, USA.
- [Borwein:1998:JP] Jonathan M. Borwein, "The Joy of Pi," Apr., 1998, Joint presentation and book signing with D. Blatner and L. Berggren, University of Washington Bookstore, Seattle, WA, USA.
- [Borwein:1998:LCE] Jonathan M. Borwein and Qiji J. Zhu, "Limiting convex examples for nonconvex subdifferential calculus,"
*Journal of Convex Analysis*, vol. 5, no. 2, 1998, pg. 221--235, Online copy1, Online copy2. - [Borwein:1998:MFA] Jonathan M. Borwein, "Multifunctional and functional analytic methods in nonsmooth analysis," Aug., 1998, Four Lectures, NATO Advanced Study Institute on Analyse non lineaire, equations differentielles et controle, Universite de Montreal, Montreal, QC, Canada, July 27--Aug 7.
- [Borwein:1998:MPW] Jonathan Borwein, "Mathematical Publication on the Web,"
*SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation)*, vol. 32, no. 1, Mar., 1998, pg. 4--7, DOI, Online copy1, Online copy2. - [Borwein:1998:MRI] Jonathan M. Borwein, "Math Resources: Interactive Mathematics Workspaces," Nov., 1998, Eleventh International Conference on Technology in Collegiate Mathematics, New Orleans, LA, USA (Nov 20--22).
- [Borwein:1998:NCC] Jonathan M. Borwein and Jay S. Treiman and Qiji J. Zhu, "Necessary conditions for constrained optimization problems with semicontinuous and continuous data,"
*Transactions of the American Mathematical Society*, vol. 350, no. 6, 1998, pg. 2409--2429, DOI, Online copy1. - [Borwein:1998:NSE] Jonathan M. Borwein and Warren B. Moors, "Null sets and essentially smooth Lipschitz functions,"
*SIAM Journal on Optimization*, vol. 8, no. 2, 1998, pg. 309--323, DOI, Online copy1. - [Borwein:1998:NSP] Jonathan M. Borwein and Alejandro Jofre, "A nonconvex separation property in Banach spaces,"
*Zeitschrift fur Operations Research. Mathematical Methods of Operations Research*, vol. 48, no. 2, 1998, pg. 169--179, DOI, Online copy1. - [Borwein:1998:PAM] Jonathan M. Borwein, "Projection algorithms and monotone operators," Mar., 1998, Plenary lecture in conjunction with CMA National Symposium on Functional Analysis, Optimization and Applications, University of Newcastle (CIDACS and Mathematics), Newcastle, NSW, Australia, March 9--21.
- [Borwein:1998:PAS] Jonathan M. Borwein and Peter B. Borwein,
*Pi and the AGM: A study in analytic number theory and computational complexity*, Wiley, New York, NY, USA, 1998, pg. xvi + 414. - [Borwein:1998:PSVa] Jonathan M. Borwein, "Partially smooth variational analysis," Mar., 1998, Workshop talk, CMA National Symposium on Functional Analysis, Optimization and Applications, University of Newcastle, Newcastle, NSW, Australia, March 9--21.
- [Borwein:1998:PSVb] Jonathan M. Borwein, "Partially smooth variational analysis," Apr., 1998, Spring 1998 West Coast Optimization Meeting, Harbour Centre, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1998:SIT] Jonathan M. Borwein, "Sandwich (interpolation) theorems for Lipschitz functions," Mar., 1998, Workshop talk, CMA National Symposium on Functional Analysis, Optimization and Applications, University of Newcastle, Newcastle, NSW, Australia, March 9--21.
- [Borwein:1998:SNM] Jonathan M. Borwein, "Some new mean value inequalities," Jun., 1998, Analysis Seminar, Dalhousie University, Halifax, NS, Canada.
- [Borwein:1998:TAP] Jonathan Borwein, "Talking about Pi," Jan., 1998, The original URL is no longer found, but the archive URL worked on 26-Apr-2011.
- [Borwein:1998:TAS] Jonathan M. Borwein, "Three adventures in symbolic computing," Mar., 1998, The Macquarie Mathematics Colloquium and Number Theory Seminar.
- [Borwein:1998:VSD] Jonathan M. Borwein, "Virtual science: doing math on the web," Mar., 1998, Public lecture in conjunction with CMA National Symposium on Functional Analysis, Optimization and Applications, University of Newcastle, Newcastle, NSW, Australia, March 9--21.
- [Marechal:1998:APR] P. Marechal and D. Togane and A. Celler and J. M. Borwein, "Assessment of the performance of reconstruction processes for computed tomography,"
*1998 IEEE Nuclear Science Symposium. Conference Record. Toronto, ON, Canada, November 8--14, 1998*, IEEE Computer Society Press, 1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA, 1998, pg. 1353--1357, DOI, Online copy1. - [Almkvist:1999:BBA] Gert Almkvist and Andrew Granville, "Borwein and Bradley's Apery-like formulae for $ \zeta (4 n + 3) $,"
*Experimental Mathematics*, vol. 8, no. 2, 1999, pg. 197--203, DOI, Online copy1. - [Bauschke:1999:COM] Heinz H. Bauschke and Jonathan M. Borwein, "Conical open mapping theorems and regularity,"
*Proceedings of the Centre for Mathematics and its Applications (Australian National University) National Symposium on Functional Analysis, Optimization and Applications, March 1998*, J. Giles and B. Ninness, ed., 1999, pg. 1--10, Online copy1. - [Bauschke:1999:EAD] Heinz H. Bauschke and Dominikus Noll and Anna Celler and Jonathan M. Borwein, "An EM algorithm for dynamic SPECT,"
*IEEE Transactions on Medical Imaging*, vol. 18, no. 3, Mar., 1999, pg. 252--261, DOI, Online copy1. - [Bauschke:1999:MMD] Heinz H. Bauschke and Jonathan M. Borwein, "Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators,"
*Pacific Journal of Mathematics*, vol. 189, no. 1, 1999, pg. 1--20, DOI, Online copy1. - [Bauschke:1999:SCH] Heinz H. Bauschke and Jonathan M. Borwein and Wu Li, "Strong conical hull intersection property, bounded linear regularity, Jameson's property $ (G) $, and error bounds in convex optimization,"
*Mathematical Programming*, vol. 86, no. 1, Ser. A, 1999, pg. 135--160, DOI, Online copy1. - [Borowski:1999:DM] E. J. (Ephraim J.) Borowski and Jonathan M. Borwein,
*Dictionary of mathematics*, Unwin Hyman, London, UK, 1999, pg. 660. - [Borwein:1999:CAN] Jonathan M. Borwein, "Convex Analysis and Nonlinear Optimization," Mar., 1999, Mini-course (9 hours), 5th International Conference on Approximation and Optimization in the Caribbean, Guadeloupe, March 28 April 2, 1999.
- [Borwein:1999:DMPa] Jonathan M. Borwein, "The Doing of Mathematics in the Presence of Technology," Jun., 1999, Canadian Mathematics Education Study Group (CMESG), First Plenary, Brock University, St. Catharines, ON, Canada, June 4--8.
- [Borwein:1999:DMPb] Jonathan M. Borwein, "The Doing of Mathematics in the Presence of Technology," Jul., 1999, Session on Electronic Information and Communication, Joint Australian--American Math Society Meetings, Melbourne, VIC, Australia, July 12--15.
- [Borwein:1999:DMPc] Jonathan M. Borwein, "Doing Math in the Presence of Technology," Oct., 1999, Colloquium, Department of Mathematics and Statistics, Miami University of Ohio (1999 Buckingham Fellow in Residence).
- [Borwein:1999:DNMa] Jonathan M. Borwein, "Distributed Network Mathematics Laboratories," Jun., 1999, TL-NCE Project Leaders Meeting, Toronto, ON, Canada.
- [Borwein:1999:DNMb] Jonathan M. Borwein, "Distributed Network Mathematics Laboratories," Aug., 1999, MITACS Day, CECM, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1999:EMEa] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Jul., 1999, Plenary Lecture, International Symposium on Symbolic and Algebraic Commutation (ISSAC), Vancouver, BC, Canada, July 29--31, 1999.
- [Borwein:1999:EMEb] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Sep., 1999, Colloquium, Physics Department, University of Bologna, Bologna, Italy.
- [Borwein:1999:EMIa] Jonathan M. Borwein, "Experimental Mathematics: Insight from Computation," Jan., 1999, MAA Invited Address, Combined Mathematics Meetings, San Antonio, TX, USA, January 12--16.
- [Borwein:1999:EMIb] Jonathan M. Borwein, "Experimental Mathematics: Insight from Computation," Jan., 1999, Lecture II, Institute of Advanced Research in Mathematics (IAS), Technion, Haifa, Israel.
- [Borwein:1999:EMIc] Jonathan M. Borwein, "Experimental Mathematics: Insight from Computation," Feb., 1999, 2 hour Invited Address, MAA Pacific Northwest Section Meeting, Willamette University, Salem, OR, USA, March 12--13, 1999.
- [Borwein:1999:EMId] Jonathan M. Borwein, "Experimental Mathematics: Insight from Computation," Oct., 1999, Twenty-Seventh Annual Fall Conference: Twenty-Seventh Annual Fall Conference: ``Experimental Mathematics'', Miami University, October 15--16.
- [Borwein:1999:ESB] Jonathan M. Borwein and Boris S. Mordukhovich and Yongheng Shao, "On the Equivalence of Some Basic Principles in Variational Analysis,"
*Journal of Mathematical Analysis and Applications*, vol. 229, no. 1, 1999, pg. 228--257, DOI, Online copy1, Online copy2. - [Borwein:1999:ETE] Jonathan M. Borwein and Robert M. Corless, "Emerging tools for experimental mathematics,"
*American Mathematical Monthly*, vol. 106, no. 10, 1999, pg. 889--909, DOI, Online copy1, Online copy2. - [Borwein:1999:GBGa] Jonathan M. Borwein, "Generic Behaviour of Generalized Gradients," May, 1999, Special Session on Nonlinear Analysis, Canadian Mathematical Society Summer Meeting, Memorial University, St John's, NL, Canada.
- [Borwein:1999:GBGb] Jonathan M. Borwein, "Generic Behaviour of Generalized Gradients," Jul., 1999, Session on Nonlinear Dynamics and Optimization, Joint Australian-American Math Society Meetings, Melbourne, VIC, Australia, July 12--15.
- [Borwein:1999:GSB] Jonathan M. Borwein and Warren B. Moors and Xianfu Wang, "Generalized subdifferentials: a Baire categorical approach,"
*C. R. Math. Acad. Sci. Soc. R. Can.*, vol. 21, no. 4, 1999, pg. 132--138, Online copy1. - [Borwein:1999:HC] Jonathan M. Borwein, "Honoris Causa," Sep., 1999, Acceptance speech, University of Limoges, Limoges, France.
- [Borwein:1999:IAM] Jonathan M. Borwein and June Lester, "Issues for Active Math and Math Labs," Nov., 1999, Issues for next generation telelearning systems, Telelearning 1999, Montreal, QC, Canada, November 6--9.
- [Borwein:1999:IML] Jonathan M. Borwein, "Interactive Mathematics Labs," Nov., 1999, CECM-MITACS Day Presentation, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:1999:ITD] J. M. Borwein and T. Stanway, "The impact of technology on the doing of mathematics,"
*Canadian Mathematics Education Study Group (CMESG) Proceedings 1999 Annual Meeting*, John Grant McGloughlin, ed., Memorial University Press, St. Johns, NL, Canada, 1999, pg. 3--6, Online copy1. - [Borwein:1999:MFA] Jonathan M. Borwein and Qiji J. Zhu, "Multifunctional and functional analytic techniques in nonsmooth analysis,"
*Nonlinear analysis, differential equations and control (Montreal, QC, 1998)*, F. H. Clarke and R. J. Stern, ed., Kluwer Academic Publishers Group, Norwell, MA, USA, and Dordrecht, The Netherlands, 1999, pg. 61--157, Online copy1. - [Borwein:1999:MSa] Jonathan M. Borwein, "Maximizing Surprise," Jul., 1999, Session on Operations Research, Joint Australian-American Math Society Meetings, Melbourne, VIC, Australia, July 12--15.
- [Borwein:1999:MSb] Jonathan M. Borwein, "Maximizing Surprise," Sep., 1999, Colloque: Analyse et Applications.
- [Borwein:1999:MSc] Jonathan M. Borwein, "Maximizing Surprise," Oct., 1999, Colloquium, Pure Mathematics Department, University of Western Ontario, London, ON, Canada.
- [Borwein:1999:NCM] Jonathan M. Borwein, "Numerical and Computational Mathematics at the Undergraduate Level," Jun., 1999, Technology in Mathematics Education (TMEST), Plenary, Brock University, St. Catharines, ON, Canada, June 3--4., Online copy1.
- [Borwein:1999:PAT] Jonathan M. Borwein, "Projection Algorithms & Tangency Formulae," Jan., 1999, Lecture III, Institute of Advanced Research in Mathematics (IAS), Technion, Haifa, Israel.
- [Borwein:1999:PC] Jonathan M. Borwein, "Pi and its Computation," Oct., 1999, Twenty-Seventh Annual Fall Conference: Twenty-Seventh Annual Fall Conference: ``Experimental Mathematics'', Miami University, October 15--16.
- [Borwein:1999:PSS] Jonathan M. Borwein and C. G. Pinner and David Bradley, "Problems and Solutions: Solutions: An Infinite Product: 10605,"
*American Mathematical Monthly*, vol. 106, no. 2, 1999, pg. 173--174, DOI. - [Borwein:1999:PSVa] Jonathan M. Borwein and Jay S. Treiman and Qiji J. Zhu, "Partially smooth variational principles and applications,"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 35, no. 8, 1999, pg. 1031--1059, DOI, Online copy1, Online copy2. - [Borwein:1999:PSVb] Jonathan M. Borwein, "Partially smooth variational analysis," Jan., 1999, Nonlinear analysis seminar, Technion, Haifa, Israel.
- [Borwein:1999:PSVc] Jonathan M. Borwein, "Partially Smooth Variational Analysis," Sep., 1999, Seventh Conference on Well-posedness and Stability of Optimization Problems, Gargnano, Italy, September 13--18.
- [Borwein:1999:PW] Jonathan M. Borwein, "Publishing on the Web," Feb., 1999, Burnaby Rotary Club, Burnaby, BC, Canada.
- [Borwein:1999:SNMa] Jonathan M. Borwein, "Some New Mean--value Inequalities," Jan., 1999, Lecture I, Institute of Advanced Research in Mathematics (IAS), Technion, Haifa, Israel.
- [Borwein:1999:SNMb] Jonathan M. Borwein, "Some New Mean--value Inequalities," Feb., 1999, Winter 1998 West Coast Optimization Meeting, University of Washington, Seattle, WA, USA, Feb 5--6.
- [Borwein:1999:SNMc] Jonathan M. Borwein, "Some New Mean-Value Theorems," Jul., 1999, Sixth Australian Optimization Day, Ballarat, VIC, Australia.
- [Borwein:1999:SRM] Jonathan M. Borwein and Warren B. Moors and Yongheng Shao, "Subgradient representation of multifunctions,"
*Journal of the Australian Mathematical Society. Series B*, vol. 40, no. 3, Jan., 1999, pg. 301--313, DOI, Online copy1, Online copy2. - [Borwein:1999:SSC] Jonathan M. Borwein and Qiji J. Zhu, "A survey of subdifferential calculus with applications,"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 38, no. 6, 1999, pg. 687--773, DOI, Online copy1, Online copy2. - [Borwein:1999:SVM] Jonathan M. Borwein and David M. Bradley and David J. Broadhurst and Petr Lisonek, "Special Values of Multiple Polylogarithms,"
*ArXiv Mathematics e-prints*, Oct., 1999, Online copy1, Online copy2. - [Borwein:1999:TAP] Jonathan M. Borwein, "Talking about Pi," Jan., 1999, Technion Mathclub Lecture, Technion, Haifa, Israel.
- [Borwein:1999:WP] Jonathan M. Borwein, "Why Pi?," Mar., 1999, Dinner Address, MAA Pacific Northwest Section Meeting, Willamette University, Salem, OR, USA, March 12--13, 1999.
- [Cass:1999:BRP] Peter Cass, "Book Review: Pi and the AGM,"
*Mathematical Gazette*, vol. 83, no. 497, Jul., 1999, pg. 334--335, Online copy1. - [Marechal:1999:CSA] P. Marechal and D. Togane and A. Celler and J. M. Borwein, "Computation and stability analysis for regularized tomographic reconstructions,"
*IEEE Transactions on Nuclear Science*, vol. 46, Dec., 1999, pg. 2177--2184, DOI, Online copy1. - [Borwein:19xx:DPC] Jonathan M. Borwein, "Differentiability properties of convex, of Lipschitz, and of semicontinuous mappings on Banach spaces,"
*Seminaire d'Initiation a l'Analyse*, Universite de Paris VI, Paris, France, 199?, pg. Exp. No. 19, 11. - [Deville:199x:ADT] Robert Deville, "Autour du theoreme de Borwein et Preiss. (French) [On the theorem of Borwein and Preiss],"
*Seminaire d'Initiation a l'Analyse*, Univ. Paris VI, Paris, 199x, pg. Exp. No. 25, 7. - [Borwein:19xx:ASW] Jonathan Borwein and Lou Shitou, "Asymptotics of a Sequence of Witt Vectors," Report, Department of Mathematics, Statistics and Computing Science, Dalhousie University, 19xx.
- [Borwein:19xx:CFF] J. M. Borwein and P. B. Borwein, "On the Complexity of Familiar Functions and Numbers," Report, Department of Mathematics, Statistics and Computing Science, Dalhousie University, 19xx.
- [Borwein:19xx:EIG] Jonathan M. Borwein, "Elliptic Integrals and the Gauss--Salamin formula for $ \pi $," 19xx, Unpublished hand-written lecture slides at Dalhousie University. The slides are undated, and the 10 references on the final slides include a reference to E. Salamin (1976) and to P. Backmann's 1977 book A History of Pi.
- [Borwein:19xx:EMI] Jonathan M. Borwein and Peter B. Borwein and Roland Girgensohn and S. Parnes, "Experimental mathematical investigation of decimal and continued fraction expansions of select constants," 19xx, Unpublished.
- [Borwein:19xx:MI] J. M. Borwein and P. B. Borwein, "On the Mean Iteration $ (a, b) \leftarrow ((a + 3 b) / 4, (\sqrt {ab} + b) / 2) $," Report, Department of Mathematics, Statistics and Computing Science, Dalhousie University, 19xx.
- [Borwein:19xx:PCT] Jonathan M. Borwein and Peter B. Borwein, "Pi and its computation: a twenty-two hundred year quest continues: why it is now possible to calculate a billion digits of pi," Report, Dalhousie University, 19xx, Undated typeset manuscript intended for Scientific American, but never published. The latest reference is to a 1987 book.
- [Borwein:19xx:WMS] J. M. Borwein and B. Richmond, "When is a matrix a square?," Research report, Department of Mathematics, Dalhousie University and Department of Combinatorics and Optimization, University of Waterloo, 5, 19xx.
- [Abbott:2000:BRP] Steve Abbott, "Book Review: Pi: A Source Book,"
*Mathematical Gazette*, vol. 84, no. 501, Nov., 2000, pg. 547, Online copy1. - [Bauschke:2000:BLR] Heinz H. Bauschke and Jonathan M. Borwein and Paul Tseng, "Bounded linear regularity, strong CHIP, and CHIP are distinct properties,"
*Journal of Convex Analysis*, vol. 7, no. 2, 2000, pg. 395--412, Online copy1. - [Berggren:2000:PSB] Lennart Berggren and Jonathan Borwein and Peter Borwein,
*Pi: a source book*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2000, pg. xx + 736. - [Borwein:2000:AGM] J. M. Borwein and P. B. Borwein, "The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions,"
*Pi: A Source Book*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2000, DOI, Online copy1. - [Borwein:2000:AIR] Jonathan M. Borwein and Petr Lisonek, "Applications of integer relation algorithms,"
*Discrete Mathematics*, vol. 217, no. 1--3, 2000, pg. 65--82, DOI, Online copy1, Online copy2. - [Borwein:2000:CAN] Jonathan M. Borwein and Adrian S. Lewis,
*Convex Analysis and Nonlinear Optimization*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2000, pg. x + 273. - [Borwein:2000:CBS] Jonathan M. Borwein and David J. Broadhurst and Joel Kamnitzer, "Central Binomial Sums, Multiple Clausen Values and Zeta Values,"
*ArXiv High Energy Physics --- Theory e-prints*, Apr., 2000, Online copy1, Online copy2. - [Borwein:2000:CDA] Jonathan M. Borwein and Pierre Marechal and David Naugler, "A convex dual approach to the computation of NMR complex spectra,"
*Math. Methods Oper. Res.*, vol. 51, no. 1, 2000, pg. 91--102, DOI, Online copy1. - [Borwein:2000:CEL] Jonathan Borwein and Yves Lucet and Boris Mordukhovich, "Compactly epi-Lipschitzian convex sets and functions in normed spaces,"
*Journal of Convex Analysis*, vol. 7, no. 2, 2000, pg. 375--393, Online copy1, Online copy2. - [Borwein:2000:CII] Jonathan M. Borwein, "CEIC--IMU Initiatives," Jun., 2000, CMS special session on Mathematics on the Internet, II (MOTI-2), CMS Year 2000 Summer Meeting, Hamilton, ON, Canada, June 10--13.
- [Borwein:2000:CSF] Jonathan M. Borwein and John Read and Adrian S. Lewis and Qiji Zhu, "Convex spectral functions of compact operators,"
*Journal of Nonlinear and Convex Analysis*, vol. 1, no. 1, 2000, pg. 17--35, Online copy1. - [Borwein:2000:CSR] Jonathan M. Borwein and David M. Bradley and Richard E. Crandall, "Computational strategies for the Riemann zeta function,"
*Journal of Computational and Applied Mathematics*, vol. 121, no. 1--2, Sep., 2000, pg. 247--296, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:2000:EMEa] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Apr., 2000, Washington State Meeting on Exact Algorithmics, Pullman, WA, USA.
- [Borwein:2000:EMEb] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Apr., 2000, Colloquium, Mathematics Department, Temple University, Philadelphia, PA, USA.
- [Borwein:2000:EMEc] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Apr., 2000, Colloquium as Thirteenth Annual Donald H. Clanton Visiting Mathematician, Furman University, Greenville, SC 29613, USA.
- [Borwein:2000:EMEd] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Apr., 2000, Colloquium, University of Western Australia, Crawley, WA 6009, Australia.
- [Borwein:2000:EMEe] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Oct., 2000, Colloquium at GSF-Forschungszentrum Inst. fur Biomathematik und Biometriei, University of Munich, Munchen, Germany.
- [Borwein:2000:EMEf] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Oct., 2000, Ernst Schrodinger Lecture, Schrodinger Institute, University of Vienna, Vienna, Austria.
- [Borwein:2000:EMEg] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Nov., 2000, Colloquium, University of Coimbra, Coimbra, Portugal.
- [Borwein:2000:EMEh] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Nov., 2000, Colloquium, University of Lisbon, Lisbon, Portugal.
- [Borwein:2000:EMOa] Jonathan M. Borwein, "Experimental Mathematics and Other Good Stuff," Jul., 2000, Four Hour Lecture Series, Canada--US Mathcamps, University of British Columbia, Vancouver, BC, Canada.
- [Borwein:2000:EMOb] Jonathan M. Borwein, "Experimental Mathematics and Other Good Stuff," Oct., 2000, Science One Presentation, University of British Columbia, Vancouver, BC, Canada.
- [Borwein:2000:GBG] Jonathan M. Borwein, "The Generic Behaviour of Generalized Gradients," Jul., 2000, Third World Congress of Nonlinear Analysts, Special session on ``Variational Analysis and Optimization'', July 19--25, 2000, Catania, Italy.
- [Borwein:2000:GPG] Jonathan M. Borwein, "Generic Properties of Generalized Gradients," May, 2000, Colloque, Universite des Antilles et de la Guyane, Guadeloupe.
- [Borwein:2000:ITD] Jonathan M. Borwein, "The Impact of Technology on the Doing of Mathematics," Apr., 2000, Public Lecture as Donald H. Clanton Visiting Mathematician, Furman University, Greenville, SC 29613, USA., Online copy1.
- [Borwein:2000:LFM] Jonathan M. Borwein and Xianfu Wang, "Lipschitz functions with maximal Clarke subdifferentials are generic,"
*Proceedings of the American Mathematical Society*, vol. 128, no. 11, 2000, pg. 3221--3229, DOI, Online copy1. - [Borwein:2000:MNI] Jonathan M. Borwein, "Mathematiques numerique et informatique," Jun., 2000, Conference, 5ieme Colloque de l'IREM (Institut de recherche sur l'enseignement des mathematiques) Antilles-Guyane, Guadeloupe.
- [Borwein:2000:MSI] Jonathan M. Borwein, "Multivariable sinc integrals and volumes of convex polyhedra," Dec., 2000, Special Session on Classical and Computational Analysis, Canadian Mathematical Society Winter Meeting, Vancouver, BC, Canada.
- [Borwein:2000:MSa] Jonathan M. Borwein, "Maximizing Surprise," May, 2000, Colloque, Universite des Antilles et de la Guyane, Guadeloupe.
- [Borwein:2000:MSb] Jonathan M. Borwein, "Maximizing Surprise," Nov., 2000, Colloquium, Mathematics Department, Michigan State University, East Lansing, MI, USA.
- [Borwein:2000:NCMa] J. M. Borwein and T. Stanway, "Numerical and computational mathematics (at the undergraduate level),"
*Proceedings of the Conference on Technology in Mathematics Education at the Secondary and Tertiary Levels, June 2--4, 1999 at Brock University*, Bruce Cload and Tom Jenkyns, ed., Brock University Press, St. Catharines, ON, L2S 3A1 Canada, 2000, pg. 20--37, Online copy1. - [Borwein:2000:NCMb] Jonathan M. Borwein, "Numerical and Computational Mathematics at the Undergraduate Level," Jun., 2000, Plenary lecture, Pacific Northwest Sectional MAA Meeting, University of British Columbia, Vancouver, BC, Canada, 16--17 June., Online copy1.
- [Borwein:2000:PEN] J. M. Borwein and P. B. Borwein and K. Dilcher, "Pi, Euler Numbers, and Asymptotic Expansions,"
*Pi: A Source Book*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2000, DOI, Online copy1, Online copy2. - [Borwein:2000:PSC] Jonathan M. Borwein, "Parallel Symbolic Computation: Methods and Issues," Mar., 2000, Haifa-Technion Workshop on `Inherently parallel algorithms in optimization and feasibility and their applications', March 14.
- [Borwein:2000:R] Jonathan Borwein and Kwok-Kwong Stephen Choi, "On the representations of $ x y + y z + z x $,"
*Experimental Mathematics*, vol. 9, no. 1, 2000, pg. 153--158, DOI, Online copy1, Online copy2. - [Borwein:2000:RME] J. M. Borwein and P. B. Borwein and D. H. Bailey, "Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi,"
*Pi: A Source Book*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2000, pg. 623--641, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:2000:SDI] Jonathan M. Borwein and Warren B. Moors, "Separable determination of integrability and minimality of the Clarke subdifferential mapping,"
*Proceedings of the American Mathematical Society*, vol. 128, no. 1, Jan., 2000, pg. 215--221, DOI, Online copy1, Online copy2. - [Borwein:2000:SM] D. Borwein and J. M. Borwein and P. Marechal, "Surprise maximization,"
*American Mathematical Monthly*, vol. 107, no. 6, Jun., 2000, pg. 517--527, DOI, Online copy1. - [Borwein:2000:SNM] Jonathan M. Borwein, "Some New Mean-Value Theorems," May, 2000, Colloque, Universite des Antilles et de la Guyane, Guadeloupe.
- [Borwein:2000:TPS] Jonathan M. Borwein, "Tools for (Partially) Smooth Variational Analysis," Jul., 2000, Third World Congress of Nonlinear Analysts, Plenary Lecture, July 19--25, 2000, Catania, Italy.
- [Borwein:2000:UWH] Jonathan M. Borwein, "The use of wireless and handheld devices in telelearning," Nov., 2000, Panel, Telelearning Annual Meeting, Toronto, ON, Canada.
- [Foster:2000:IBE] William Foster and Ilia Krasikov, "An improvement of a Borwein--Erdelyi--Kos result,"
*Methods and Applications of Analysis*, vol. 7, no. 4, 2000, pg. 605--614, DOI. - [Kitazume:2000:BIV] Masaaki Kitazume and Masahiko Miyamoto and Hiromichi Yamada, "Borwein identity and vertex operator algebras,"
*Journal of Number Theory*, vol. 82, no. 1, 2000, pg. 100--108, DOI, Online copy1. - [Komatsu:2000:IDA] Takao Komatsu, "On inhomogeneous Diophantine approximation and the Borweins' algorithm,"
*S=urikaisekikenky=usho K=oky=uroku*, vol. 1160, 2000, pg. 155--162. - [Li:2000:GEV] Yongxin Li and Shuzhong Shi, "A generalization of Ekeland's $ \epsilon $-variational principle and its Borwein--Preiss smooth variant,"
*Journal of Mathematical Analysis and Applications*, vol. 246, no. 1, 2000, pg. 308--319, DOI. - [Liu:2000:BCT] Zhi-Guo Liu, "The Borweins' cubic theta function identity and some cubic modular identities of Ramanujan,"
*The Ramanujan Journal*, vol. 4, no. 1, 2000, pg. 43--50, DOI. - [Theodorescu:2000:PSS] Radu Theodorescu and Jonathan M. Borwein, "Problems and Solutions: Solutions: Moments of the Poisson Distribution: 10738,"
*American Mathematical Monthly*, vol. 107, no. 7, Aug., 2000, pg. 659--659, DOI, Online copy1. - [Yongxin:2000:GEV] Li Yongxin and Shi Shuzhong, "A Generalization of Ekeland's $ \epsilon $-Variational Principle and Its Borwein--Preiss Smooth Variant,"
*Journal of Mathematical Analysis and Applications*, vol. 246, no. 1, 2000, pg. 308--319, DOI, Online copy1. - [Bailey:2001:EMR] David H. Bailey and Jonathan M. Borwein, "Experimental mathematics: recent developments and future outlook,"
*Mathematics unlimited---2001 and beyond*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2001, pg. 51--66, Online copy1. - [Bauschke:2001:ESE] Heinz H. Bauschke and Jonathan M. Borwein and Patrick L. Combettes, "Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces,"
*Communications in Contemporary Mathematics*, vol. 3, no. 4, 2001, pg. 615--647, DOI, Online copy1. - [Bauschke:2001:JSC] Heinz H. Bauschke and Jonathan M. Borwein, "Joint and separate convexity of the Bregman distance,"
*Inherently Parallel Algorithms in Feasibility and Optimization and their Applications (Haifa, 2000)*, Dan Butnariu and Yair Censor and Simeon Reich, ed., North-Holland, Amsterdam, The Netherlands, 2001, pg. 23--36, DOI, Online copy1, Online copy2. - [Berndt:2001:RES] Bruce C. Berndt and Robert A. (Robert Alexander) Rankin, ed.,
*Ramanujan: essays and surveys*, American Mathematical Society, Providence, RI, USA, 2001, pg. xvi + 347. - [Borwein:2001:AWMa] Jonathan M. Borwein, "Aesthetics for the Working Mathematician," Apr., 2001, Public Lecture at Queen's University Symposium on Beauty and the Mathematical Beast, April 18--19, Kingston, ON, Canada., Online copy1.
- [Borwein:2001:AWMb] Jonathan M. Borwein, "Aesthetics for the Working Mathematician," Aug., 2001, Special Mathematics Seminar, University of New South Wales, Sydney, NSW, Australia., Online copy1.
- [Borwein:2001:AWMc] Jonathan M. Borwein, "Aesthetics for the Working Mathematician," Aug., 2001, Mathematics Colloquium, Macquarie University, Sydney, NSW, Australia., Online copy1.
- [Borwein:2001:AWMd] Jonathan M. Borwein, "Aesthetics for the Working Mathematician," Dec., 2001, Special Session on History of Mathematics, CMS Winter Meeting, Toronto, ON, Canada, December 8--10, 2001., Online copy1.
- [Borwein:2001:CBS] Jonathan Michael Borwein and David J. Broadhurst and Joel Kamnitzer, "Central binomial sums, multiple Clausen values, and zeta values,"
*Experimental Mathematics*, vol. 10, no. 1, 2001, pg. 25--34, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:2001:CFL] Jonathan M. Borwein and Jon D. Vanderwerff, "Convex functions of Legendre type in general Banach spaces,"
*Journal of Convex Analysis*, vol. 8, no. 2, 2001, pg. 569--581, Online copy1, Online copy2. - [Borwein:2001:CMCa] Jonathan M. Borwein and Peter B. Borwein, "Challenges in Mathematical Computing,"
*Computing in Science and Engineering*, vol. 3, no. 3, May, 2001, pg. 48--53, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:2001:CMCb] Jonathan M. Borwein, "Challenges in Mathematical Computing --- Why Math is Still Hard," Nov., 2001, MAA Seaway Sectional Meeting, after dinner lecture, Brock University, St. Catharines, ON, Canada, November 2--3, 2001.
- [Borwein:2001:COM] Jonathan M. Borwein, "Collaborative online mathematics: wishing and hoping," Nov., 2001, Plenary lecture, Fields Institute Workshop on Online Mathematics, November 15--17, 2001.
- [Borwein:2001:CSF] Jonathan M. Borwein and Adrian S. Lewis and Qiji J. Zhu, "Convex spectral functions of compact operators. II. Lower semicontinuity and rearrangement invariance,"
*Optimization and related topics (Ballarat/Melbourne, 1999)*, Kluwer Academic Publishers Group, Norwell, MA, USA, and Dordrecht, The Netherlands, 2001, pg. 179--196, DOI, Online copy1. - [Borwein:2001:DIS] J. M. Borwein and S. P. Fitzpatrick, "Duality inequalities and sandwiched functions,"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 46, no. 3, 2001, pg. 365--380, DOI, Online copy1, Online copy2. - [Borwein:2001:DSS] Jonathan M. Borwein, "Dirichlet Series of Squares of Sums of Squares," Oct., 2001, ALGO Seminar, INRIA --- Rocquencourt, France.
- [Borwein:2001:EM] Jonathan M. Borwein, "Experimental Mathematics,"
*Australian Mathematical Society Gazette*, vol. 28, 2001, pg. 77--80, Online copy1. - [Borwein:2001:EMEa] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Aug., 2001, Number Theory Seminar, Macquarie University, Sydney, NSW, Australia.
- [Borwein:2001:EMEb] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Oct., 2001, Distinguished Visitor Colloquium, INRIA --- Rocquencourt, France.
- [Borwein:2001:EMEc] Jonathan M. Borwein, "Experimental Mathematics and Exact Computation," Oct., 2001, Colloquium, University of Limoges, France.
- [Borwein:2001:EMI] Jonathan M. Borwein, "Exploring Math on the Internet," Jun., 2001, Esso-CMS-PIMS Math Camp, (9.00--12.00), Simon Fraser University, Burnaby, BC, Canada, June 25--29.
- [Borwein:2001:FIW] Jonathan M. Borwein, "The International Mathematical Union's Electronic Initiatives," Sep., 2001, First International Workshop on Mathematical Knowledge Management, Sept 24--26, RISC Linz, Austria.
- [Borwein:2001:GSB] Jonathan M. Borwein and Warren B. Moors and Xianfu Wang, "Generalized subdifferentials: a Baire categorical approach,"
*Transactions of the American Mathematical Society*, vol. 353, no. 10, 2001, pg. 3875--3893, DOI, Online copy1. - [Borwein:2001:IMU] Jonathan M. Borwein, "The International Math Union's Electronic Initiatives --- and WestGrid," Jul., 2001, CECM01 Summer Conference, Analysis, Computation and Communication Simon Fraser, July 27--28.
- [Borwein:2001:MET] Jonathan M. Borwein, "Maximum Entropy-Type Methods and Convex Programming," May, 2001, Workshop on New Approaches to the Phase Problem, Lawrence Berkeley National Laboratory, Berkeley, CA, USA, May 17--19 (replaced by poster).
- [Borwein:2001:MSIa] Jonathan M. Borwein, "Multivariable sinc integrals and volumes of convex polyhedra," Jan., 2001, Special Session on Series and Integrals, Combined Mathematics Meetings, New Orleans, LA, USA, January 9--13.
- [Borwein:2001:MSIb] Jonathan M. Borwein, "Multivariable sinc integrals and volumes of convex polyhedra," Aug., 2001, Analysis Seminar, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2001:MSIc] Jonathan M. Borwein, "Multivariable sinc integrals and volumes of convex polyhedra," Oct., 2001, ALGO Seminar, INRIA --- Rocquencourt, France.
- [Borwein:2001:RCS] D. Borwein and J. Borwein and G. Fee and R. Girgensohn, "Refined convexity and special cases of the Blaschke--Santalo inequality,"
*Mathematical Inequalities & Applications*, vol. 4, no. 4, 2001, pg. 631--638, DOI, Online copy1. - [Borwein:2001:RGC] J. M. Borwein and M. Fabian and I. Kortezov and P. D. Loewen, "The range of the gradient of a continuously differentiable bump,"
*Journal of Nonlinear and Convex Analysis*, vol. 2, no. 1, 2001, pg. 1--19, Online copy1, Online copy2. - [Borwein:2001:RP] Jonathan M. Borwein and Peter B. Borwein, "Ramanujan and pi," 2001, in Berndt:2001:RES, pg. 187--199, Online copy1.
- [Borwein:2001:SGR] Jonathan M. Borwein and Ivaylo Kortezov, "Some generic results on nonattaining functionals,"
*Set-Valued Analysis*, vol. 9, no. 1--2, 2001, pg. 35--47, DOI, Online copy1. - [Borwein:2001:SRP] David Borwein and Jonathan M. Borwein, "Some remarkable properties of sinc and related integrals,"
*The Ramanujan Journal*, vol. 5, no. 1, 2001, pg. 73--89, DOI, Online copy1. - [Borwein:2001:STC] J. M. Borwein and X. Wang, "Subdifferentiability of typical continuous functions,"
*Nonlinear Analysis Forum*, vol. 6, no. 1, 2001, pg. 49--58, Online copy1, Online copy2. - [Borwein:2001:SVM] Jonathan M. Borwein and David M. Bradley and David J. Broadhurst and Petr Lisonek, "Special values of multiple polylogarithms,"
*Transactions of the American Mathematical Society*, vol. 353, no. 3, Mar., 2001, pg. 907--941, DOI, Online copy1. - [Kohlenbach:2001:QVT] Ulrich Kohlenbach, "A quantitative version of a theorem due to Borwein--Reich--Shafrir,"
*Numerical Functional Analysis and Optimization*, vol. 22, no. 5--6, 2001, pg. 641--656, DOI. - [Lewis:2001:BCT] Richard Lewis and Zhi-Guo Liu, "The Borweins' cubic theta functions and $q$-elliptic functions,"
*Symbolic computation, number theory, special functions, physics and combinatorics (Gainesville, FL, 1999)*, Kluwer Acad. Publ., Dordrecht, 2001, pg. 133--145, DOI. - [Lindqvist:2001:PSS] Peter Lindqvist and Jaak Peetre and Jonathan M. Borwein, "Problems and Solutions: Solutions: Generalized Trigonometric Functions: 10744,"
*American Mathematical Monthly*, vol. 108, no. 5, 2001, pg. 473--474, DOI. - [Liu:2001:SES] Zhi-Guo Liu, "Some Eisenstein series identities associated with the Borwein functions,"
*Symbolic computation, number theory, special functions, physics and combinatorics (Gainesville, FL, 1999)*, Kluwer Acad. Publ., Dordrecht, 2001, pg. 147--169, DOI. - [Seife:2001:PKE] Charles Seife, "Pi Keeps 'Em Guessing,"
*Science*, 2001, Online copy1. - [Warnaar:2001:GBC] S. Ole Warnaar, "The generalized Borwein conjecture. I. The Burge transform,"
*$q$-series with applications to combinatorics, number theory, and physics (Urbana, IL, 2000)*, Amer. Math. Soc., Providence, RI, 2001, pg. 243--267, DOI. - [Borowski:2002:MCD] Ephraim J. Borowski and Jonathan M. Borwein,
*Mathematics: Collins dictionary*, Collins, London, UK, 2002, pg. 633. - [Borwein:2002:ANB] J. M. Borwein and M. Jimenez-Sevilla and J. P. Moreno, "Antiproximinal norms in Banach spaces,"
*Journal of Approximation Theory*, vol. 114, no. 1, 2002, pg. 57--69, DOI, Online copy1, Online copy2. - [Borwein:2002:ASS] Jonathan M. Borwein and Qiji J. Zhu, "Addendum: ``A survey of subdifferential calculus with applications'' [Nonlinear Anal. 38 (1999), no. 6, Ser. A: Theory Methods, 687--773; (2000j:49024)],"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 49, no. 2, Ser. A: Theory Methods, 2002, pg. 295--296, DOI. - [Borwein:2002:BMO] Jonathan M. Borwein, "Bregman Monotone Optimization Methods and Related Convex Functions," Jul., 2002, Plenary Lecture, IV Brazilian Workshop on Continuous Optimization, IMPA, Rio de Janeiro, Brazil, July 15--20, 2002.
- [Borwein:2002:CBC] J. M. Borwein and J. D. Vanderwerff, "On the continuity of biconjugate convex functions,"
*Proceedings of the American Mathematical Society*, vol. 130, no. 6, Jun., 2002, pg. 1797--1803, DOI, Online copy1, Online copy2. - [Borwein:2002:CNF] Jonathan M. Borwein, "The CEIC: The Next Four Years," Nov., 2002, West Coast Optimization Fall Meeting, University of Washington, Seattle, WA, USA.
- [Borwein:2002:DEM] Jonathan M. Borwein, "Digitizing the entire mathematical literature: what wild surmise!," Dec., 2002, CMS Special Session on History of Mathematics, Ottawa, December 8--10, 2002. (Also presented to CISTI Board, December 6th.).
- [Borwein:2002:DLM] Jonathan M. Borwein, "The Digital Library of Mathematics," Aug., 2002, Presentation at ICM Satellite Meeting on Electronic Information and Communication in Mathematics, Beijing, August 29--31, 2002.
- [Borwein:2002:DMFa] Jonathan M. Borwein, "Differentiability of monotone functions on separable Banach space," May, 2002, Spring 2002 West Coast Optimization Meeting, Burnaby Mountain Campus, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:2002:DMFb] Jonathan M. Borwein, "Differentiability of monotone functions on separable Banach space," Nov., 2002, Nonlinear Analysis Seminar, University of Pau, 64012 Pau, France.
- [Borwein:2002:DSSa] Jonathan M. Borwein, "Dirichlet series for squares of sums of squares," May, 2002, Plenary Lecture at Seventh Canadian Number Theory Association Conference at CRM, May 19--25, 2002.
- [Borwein:2002:DSSb] Jonathan M. Borwein, "Dirichlet series for squares of sums of squares," Oct., 2002, Discrete Mathematics Seminar, University of Calgary, Calgary, AB, Canada.
- [Borwein:2002:EMCa] Jonathan M. Borwein, "The Experimental Mathematician: A Computational Guide to the Mathematical Unknown," Aug., 2002, Plenary Lecture at The First International Congress of Mathematical Software, Beijing, China, August 17--19, 2002.
- [Borwein:2002:EMCb] Jonathan M. Borwein, "The Experimental Mathematician: A Computational Guide to the Mathematical Unknown," Nov., 2002, Numerical Analysis Seminar, University of Pau, 64012 Pau, France.
- [Borwein:2002:EMI] J. M. Borwein, "Experimental Mathematics and Integer Relations,"
*European Research Consortium for Informatics and Mathematics, ERCIM News*, vol. 50, Jul., 2002, pg. 30--31. - [Borwein:2002:EMPa] Jonathan M. Borwein, "The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof," May, 2002, Plenary Lecture at 25th Anniversary Meeting of the Canadian Math Educators Study Group (CMESG), Queen's University, Kingston, ON, May 25--29, 2002., Online copy1.
- [Borwein:2002:EMPb] Jonathan M. Borwein, "The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof," May, 2002, Response and Discussion, 25th Anniversary Meeting of the Canadian Math Educators Study Group (CMESG), Queen's University, Kingston, ON, Canda, May 25--29, 2002., Online copy1.
- [Borwein:2002:FES] J. M. Borwein and I. Kortezov and H. Wiersma, "A $ C^1 $-function that is even on a sphere and has no critical points in the ball,"
*Journal of Nonlinear and Convex Analysis*, vol. 3, no. 1, 2002, pg. 1--16, Online copy1. - [Borwein:2002:IMU] Jonathan M. Borwein, "The International Mathematical Union's Electronic Initiatives," Feb., 2002, Workshop on Managing digital information in mathematics: From journals to the gray literature. during the Fourth Annual CEIC Meeting, Vancouver Wosk Centre, Vancouver, BC, Canada, February 15--17, 2001.
- [Borwein:2002:IWC] Jonathan M. Borwein, "Introduction to the work of the CEIC," Aug., 2002, Electronic Information Afternoon at the ICM, Beijing, August 20--27, 2002.
- [Borwein:2002:MMF] Jonathan M. Borwein, "Mathematical Marvels: Fields of Dreams," Mar., 2002, Simon Fraser series A Passion For Excellence, on the Nobel and like Prizes.
- [Borwein:2002:MTC] Jonathan M. Borwein and Maridee Morales and Konrad Polthier and Jose Francisco Rodrigues, ed.,
*Multimedia tools for communicating mathematics*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2002, pg. viii + 314. - [Borwein:2002:MVS] David Borwein and Jonathan M. Borwein and Bernard A. Mares, Jr., "Multi-variable sinc integrals and volumes of polyhedra,"
*The Ramanujan Journal*, vol. 6, no. 2, 2002, pg. 189--208, DOI, Online copy1. - [Borwein:2002:NFY] Jonathan M. Borwein, "The Next Four Years," Aug., 2002, Invited Lecture at ICM Satellite Meeting on Electronic Information and Communication in Mathematics, Beijing, China, August 29--31, 2002.
- [Borwein:2002:RGL] J. M. Borwein and M. Fabian and P. D. Loewen, "The range of the gradient of a Lipschitz $ C^1 $-smooth bump in infinite dimensions,"
*Israel Journal of Mathematics*, vol. 132, no. 1, Dec., 2002, pg. 239--251, DOI, Online copy1, Online copy2. - [Borwein:2002:RNC] Jon Borwein and John Giles and Jon Vanderwerff, "Rotund norms, Clarke subdifferentials and extensions of Lipschitz functions,"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 48, no. 2, 2002, pg. 287--301, DOI, Online copy1, Online copy2. - [Borwein:2002:SSC] Jonathan M. Borwein and Qiji J. Zhu, "A survey of subdifferential calculus with applications: [Nonlinear Anal. TMA 38 (1999) 687--773],"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 49, no. 2, 2002, pg. 295--296, DOI, Online copy1, Online copy2. - [Borwein:2002:WMD] Jonathan M. Borwein, "Welcome to the Mathematics of Dynamic SPECT," Sep., 2002, Workshop on Exploring the Frontiers of Dynamic SPECT, Wall Institute, University of British Columbia, Vancouver, BC, Canada, September 20--23, 2002.
- [Borwein:2002:WMSa] Jonathan M. Borwein, "Why Math is (Still) Hard: Challenges for Mathematical Computing," Mar., 2002, Distinguished Visitors Colloquium, Wayne State, Detroit, MI, USA.
- [Borwein:2002:WMSb] Jonathan M. Borwein, "Why Math is (Still) Hard: Challenges for Mathematical Computing," Apr., 2002, Colloquium, Centre de Recherches Mathematiques, Montreal, QC, Canada.
- [Dai:2002:LCB] Yu-Hong Dai and Li-Zhi Liao, "$ \bf R $-linear convergence of the Barzilai and Borwein gradient method,"
*IMA Journal of Numerical Analysis*, vol. 22, no. 1, Jan., 2002, pg. 1--10, DOI, Online copy1, Online copy2. - [Grippo:2002:NGT] L. Grippo and M. Sciandrone, "Nonmonotone globalization techniques for the Barzilai--Borwein gradient method,"
*Computational optimization and applications*, vol. 23, no. 2, 2002, pg. 143--169, DOI. - [Komatsu:2002:IDA] Takao Komatsu, "On inhomogeneous Diophantine approximation and the Borweins' algorithm. II,"
*Analytic number theory (Beijingslash Kyoto, 1999)*, Kluwer Acad. Publ., Dordrecht, 2002, pg. 223--242, DOI. - [Lupas:2002:SBF] Alexandru Lupas, "Some BBP-functions,"
*Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat.*, vol. 13, 2002, pg. 26--29 (2003), DOI. - [Raydan:2002:RSD] Marcos Raydan and Benar F. Svaiter, "Relaxed steepest descent and Cauchy--Barzilai--Borwein method,"
*Computational optimization and applications*, vol. 21, no. 2, 2002, pg. 155--167, DOI. - [Reisner:2002:NTB] Shlomo Reisner, "A note on a theorem of Borwein, Borwein, Fee and Girgensohn,"
*Mathematical Inequalities & Applications*, vol. 5, no. 4, 2002, pg. 753--754, DOI. - [Thangadurai:2002:NCB] R. Thangadurai, "A note on a conjecture of Borwein and Choi,"
*Arch. Math. (Basel)*, vol. 78, no. 5, 2002, pg. 386--396, DOI. - [Asperti:2003:MKM] Andrea Asperti and Bruno Buchberger and James Harold Davenport, ed.,
*Mathematical knowledge management: second international conference, MKM 2003, Bertinoro, Italy, February 16--18, 2003: proceedings*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2003, pg. x + 223, Online copy1. - [Bauschke:2003:BMO] Heinz H. Bauschke and Jonathan M. Borwein and Patrick L. Combettes, "Bregman monotone optimization algorithms,"
*SIAM Journal on Control and Optimization*, vol. 42, no. 2, 2003, pg. 596--636, DOI, Online copy1. - [Benoist:2003:CQV] Joel Benoist and Jonathan M. Borwein and Nicolae Popovici, "A characterization of quasiconvex vector-valued functions,"
*Proceedings of the American Mathematical Society*, vol. 131, no. 4, Apr., 2003, pg. 1109--1113, DOI, Online copy1, Online copy2. - [Berggren:2003:PP] Lennart Berggren and Jonathan Borwein and Peter Borwein, "A Pamphlet on Pi," CECM Preprint, Centre for Experimental and Constructive Mathematics (CECM) at Simon Fraser University (SFU), 2003:210, Jun., 2003, Online copy1.
- [Borwein:2003:ACFa] Jonathan M. Borwein, "The AGM Continued Fraction of Ramanujan," Jul., 2003, CECM Day 2003, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:2003:ACFb] Jonathan M. Borwein, "The AGM Continued Fraction of Ramanujan," Sep., 2003, First Plenary Lecture, First Congress of the Mathematical Society of South East Europe (MASSEE), Borovets, Bulgaria.
- [Borwein:2003:ACFc] Jonathan M. Borwein, "The AGM Continued Fraction of Ramanujan," Oct., 2003, Colloquium, Reed College, OR, USA.
- [Borwein:2003:ACGa] Jonathan M. Borwein, "Advanced Collaboration and Grid Computation, I," Jul., 2003, ICIAM 2003 Mini-symposium, International Congress on Industrial and Applied Mathematics, Sydney, NSW, Australia.
- [Borwein:2003:ACGb] Jonathan M. Borwein, "Advanced Collaboration and Grid Computation, II," Jul., 2003, ICIAM 2003 Mini-symposium, International Congress on Industrial and Applied Mathematics, Sydney, NSW, Australia.
- [Borwein:2003:ACGc] Jonathan M. Borwein, "Advanced Collaboration and Grid Computation," Nov., 2003, Presentation to the SFU Board of Governors, Burnaby, BC, Canada.
- [Borwein:2003:BGT] J. M. Borwein and A. L. Dontchev, "On the Bartle--Graves theorem,"
*Proceedings of the American Mathematical Society*, vol. 131, no. 8, 2003, pg. 2553--2560, DOI. - [Borwein:2003:BMP] Jonathan M. Borwein, "Bringing Math to the Public," May, 2003, Panel Moderator, CMS National School Math Forum, May 16--18, Montreal, QC, Canada.
- [Borwein:2003:BTE] Jonathan M. Borwein, "The best teacher I ever had: personal reports from highly productive scholars,"
*Royal Society of Canada Volume*, A. Michalos, ed., Althouse Press, 2003. - [Borwein:2003:CEI] Jonathan Borwein and Roland Girgensohn, "A class of exponential inequalities,"
*Mathematical Inequalities & Applications*, vol. 6, no. 3, 2003, pg. 397--411, DOI, Online copy1. - [Borwein:2003:CHC] Jonathan M. Borwein, "Canadian Highend Computing Initiatives," Apr., 2003, NRC-CISTI Presentation, CISTI Advisory Board, Fredericton, NB, Canada.
- [Borwein:2003:DM] Jonathan M. Borwein, "Discovery in Mathematics," Jan., 2003, Workshop on Special Functions in the Digital Age, Simon Fraser University, January 23--24, 2003, Burnaby, BC, Canada.
- [Borwein:2003:DSF] Jonathan M. Borwein, "The Department," Feb., 2003, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:2003:DSS] Jonathan Michael Borwein and Kwok-Kwong Stephen Choi, "On Dirichlet series for sums of squares,"
*The Ramanujan Journal*, vol. 7, no. 1--3, 2003, pg. 95--127, DOI, Online copy1. - [Borwein:2003:EM] Jonathan M. Borwein, "Experimentation in Mathematics," Apr., 2003, Dalhousie University, Faculty of Computing Science Colloquium, 2003, Halifax, NS, Canada.
- [Borwein:2003:EMCa] Jonathan M. Borwein and David H. Bailey and Roland Girgensohn,
*Experimentation in mathematics: computational paths to discovery*, A. K. Peters, Ltd., Wellesley, MA, USA, 2003, pg. x + 357. - [Borwein:2003:EMCb] Jonathan M. Borwein, "Experimentation in Mathematics: Computational Paths to Discovery," Jun., 2003, Colloquium, University of Adelaide, Adelaide, SA, Australia.
- [Borwein:2003:EMPa] Jonathan M. Borwein, "Experimentation in Mathematics: Part I," Mar., 2003, Frontiers of Mathematics, Lecture Series, Texas A&M University, College Station, TX, USA, March 22--27, 2003.
- [Borwein:2003:EMPb] Jonathan M. Borwein, "Experimentation in Mathematics: Part II," Mar., 2003, Frontiers of Mathematics, Lecture Series, Texas A&M University, College Station, TX, USA, March 22--27, 2003.
- [Borwein:2003:FNA] Jonathan M. Borwein, "The Fields, Nevanlinna and Abel Prizes: Chasing the Mathematical Prize," Mar., 2003, In lecture series ''Recognizing Excellence. The Nobels and Other Prizes'', Series, SFU Harbour Centre, Burnaby, BC, Canada, 2003.
- [Borwein:2003:HEI] Jonathan M. Borwein, "Handling Electronic Issues in the International Mathematical Community," Jul., 2003, ICIAM 2003 Minisymposium, International Congress on Industrial and Applied Mathematics, Sydney, NSW, Australia.
- [Borwein:2003:LFL] J. M. Borwein and Xianfu Wang, "Lipschitz functions on the line with prescribed Holder subdifferentials,"
*Advanced Studies in Contemporary Mathematics (Kyungshang).*, vol. 7, no. 2, 2003, pg. 93--117, Online copy1. - [Borwein:2003:LLC] J. M. Borwein and J. Vanderwerff and Xianfu Wang, "Local Lipschitz-constant functions and maximal subdifferentials,"
*Set-Valued Analysis*, vol. 11, no. 1, 2003, pg. 37--67, DOI, Online copy1. - [Borwein:2003:LPa] Jonathan M. Borwein, "The Life of Pi," Mar., 2003, Pi Day Open House, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:2003:LPb] Jonathan M. Borwein, "The Life of Pi," Mar., 2003, Frontiers of Mathematics, Lecture Series, Texas A&M University, March 22--27, 2003.
- [Borwein:2003:LPc] Jonathan M. Borwein, "The Life of Pi," Jul., 2003, Colloquium, University of South Australia, Adelaide, SA, Australia.
- [Borwein:2003:LPd] Jonathan M. Borwein, "The Life of Pi," Jul., 2003, Colloquium, Royal Melbourne Institute of Technology, Melbourne, VIC, Australia.
- [Borwein:2003:LPe] Jonathan M. Borwein, "The Life of Pi," Jul., 2003, Colloquium, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2003:LPf] Jonathan M. Borwein, "The Life of Pi," Oct., 2003, Colloquium, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2003:LPg] Jonathan M. Borwein, "The Life of Pi," Oct., 2003, Colloquium, University of Regina, Regina, SK, Canada.
- [Borwein:2003:LRPa] Jonathan M. Borwein, "The long range plan for high-end computing in Canada," Mar., 2003, Vancouver `town hall` meeting, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:2003:LRPb] Jonathan M. Borwein, "The long range plan for high-end computing in Canada," Mar., 2003, Victoria `town hall' meeting, University of Victoria, Victoria, BC, Canada.
- [Borwein:2003:MDM] J. M. Borwein and T. Stanway, "Managing Digital Mathematical Discourse," 2003, in Asperti:2003:MKM.
- [Borwein:2003:MEPa] Jonathan M. Borwein, "Mathematics by Experiment: Plausible Reasoning in the 21st Century," Jun., 2003, Colloquium, University of Adelaide, SA, Australia., Online copy1.
- [Borwein:2003:MEPb] Jonathan M. Borwein, "Mathematics by Experiment: Plausible Reasoning in the 21st Century," Oct., 2003, 98 lecture slides from the Royal Society Lecture Series. Simon Fraser University, Burnaby, BC, Canada., Online copy1.
- [Borwein:2003:MEPc] Jonathan M. Borwein, "Mathematics by Experiment: Plausible Reasoning in the 21st Century," Oct., 2003, Colloquium, University of Northern British Columbia, Prince George, BC, Canada., Online copy1.
- [Borwein:2003:MEPd] Jonathan M. Borwein, "Mathematics by Experiment: Plausible Reasoning in the 21st Century," Oct., 2003, Colloquium, University of Saskatchewan, Saskatoon, SK, Canada., Online copy1.
- [Borwein:2003:NNM] Jonathan M. Borwein, "Nurturing New Mathematicians: Some Advice on Advising," Jun., 2003, Presentation at Panel on Supervision, Project NexTMAC, CMS 2003 Summer Meeting, University of Alberta, Edmonton, Alberta.
- [Borwein:2003:NRI] J. Borwein and R. Goebel, "Notions of relative interior in Banach spaces,"
*J. Math. Sci. (NY)*, vol. 115, no. 4, 2003, pg. 2542--2553, DOI, Online copy1, Online copy2. - [Borwein:2003:OFV] Jonathan M. Borwein, "A One Function Variational Principle," Sep., 2003, Eighth Conference on Well-posedness and Stability of Optimization Problems, Marseilles, France, September 8--12.
- [Borwein:2003:OWL] Jonathan M. Borwein, "Official WestGrid Launch," May, 2003, Vancouver MC, NewMIC, Edmonton, Calgary, Ottawa.
- [Borwein:2003:PDA] J. Borwein and R. Choksi and P. Marechal, "Probability distributions of assets inferred from option prices via the principle of maximum entropy,"
*SIAM Journal on Optimization*, vol. 14, no. 2, 2003, pg. 464--478, DOI, Online copy1. - [Borwein:2003:SWG] Jonathan Borwein and Simon Fitzpatrick and Roland Girgensohn, "Subdifferentials whose graphs are not norm $ \times $ weak$^*$ closed,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 46, no. 4, Dec., 2003, pg. 538--545, DOI, Online copy1, Online copy2. - [Borwein:2003:TOQ] Jonathan M. Borwein, "Three Open Questions," Sep., 2003, Special Session in Honour of Petar Kenderov's 60th Birthday, First Congress of the Mathematical Society of South East Europe (MASSEE), Bulgaria.
- [Borwein:2003:WDM] Jonathan M. Borwein, "The World Digital Mathematics Library," Sep., 2003, Special Session, First Congress of the Mathematical Society of South East Europe (MASSEE), Bulgaria.
- [Chamberland:2003:BBF] Marc Chamberland, "Binary BBP-formulae for logarithms and generalized Gaussian--Mersenne primes,"
*J. Integer Seq.*, vol. 6, no. 3, 2003, pg. Article 03.3.7, 10. - [Jimenez:2003:NLP] B. Jimenez and V. Novo, "A notion of local proper efficiency in the Borwein sense in vector optimisation,"
*The ANZIAM Journal*, vol. 45, no. 1, Jul., 2003, pg. 75--89, DOI. - [Todd:2003:CAN] Michael J. Todd, "Convex Analysis and Nonlinear Optimization: Theory and Examples. Jonathan M. Borwein and Adrian S. Lewis, Springer, New York, 2000 [book review],"
*International Journal of Robust and Nonlinear Control*, vol. 13, no. 1, 2003, pg. 92--93, DOI. - [Warnaar:2003:GBC] S. Ole Warnaar, "The generalized Borwein conjecture. II. Refined $q$-trinomial coefficients,"
*Discrete Mathematics*, vol. 272, no. 2--3, 2003, pg. 215--258, DOI, Online copy1. - [Bailey:2004:BEA] David H. Bailey and Jonathan M. Borwein and Richard E. Crandall and Carl Pomerance, "On the binary expansions of algebraic numbers,"
*Journal de Theorie des Nombres de Bordeaux*, vol. 16, no. 3, 2004, pg. 487--518, Online copy1, Online copy2. - [Berggren:2004:PSB] Lennart Berggren and Jonathan Borwein and Peter Borwein,
*Pi: a source book*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2004, pg. xx + 797. - [Borwein:2004:ACCa] Jonathan M. Borwein, "Advanced Computing in Canada," Jun., 2004, Presentations on the Long Range Plan for Advanced Computing in Canada to the CMS Development Group and to the Board, CMS Summer Meeting, Halifax, NS, Canada.
- [Borwein:2004:ACCb] Jonathan M. Borwein, "Advanced Computing in Canada," Nov., 2004, Presentations on the Long Range Plan for HPC in Canada, University of Saskatchewan, Saskatoon, SK, Canada.
- [Borwein:2004:ACCc] Jonathan M. Borwein, "Advanced Computing in Canada," Nov., 2004, Presentations on the Long Range Plan for HPC in Canada, University of Saskatchewan, Saskatoon, SK, Canada.
- [Borwein:2004:ACEa] Jonathan M. Borwein, "Advanced Collaborative Environments and the Access Grid," Jun., 2004, 4th European Math Congress, Stockholm, Sweden (delivered by Alf van der Poorten).
- [Borwein:2004:ACEb] Jonathan M. Borwein, "Advanced Collaborative Environments," Oct., 2004, Colloquium, St Francis Xavier University, Antigonish, NS, Canada.
- [Borwein:2004:ACGa] Jonathan M. Borwein, "Advanced Collaboration and Grid Computation," Jan., 2004, Plenary Lecture, North American Knowledge Management Meeting, Phoenix, AZ, USA.
- [Borwein:2004:ACGb] Jonathan M. Borwein, "Advanced Collaboration and Grid Computation," Jan., 2004, Seminar, Dalhousie Faculty of Computer Science, Halifax, NS, Canada.
- [Borwein:2004:ACGc] Jonathan M. Borwein, "Advanced Collaboration and Grid Computation," Mar., 2004, Informal AARMS Workshop, Dalhousie Faculty of Computer Science, Halifax, NS, Canada.
- [Borwein:2004:AGMa] J. M. Borwein and P. B. Borwein, "The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions,"
*Pi: A Source Book*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2004, DOI, Online copy1. - [Borwein:2004:AGMb] Jonathan M. Borwein, "The Atlantic Gateway to Mathematics," Dec., 2004, First AGATE-M Annual Conference, Mount Allison University, Sackville, NB, Canada, December 3--4.
- [Borwein:2004:AGMc] Jonathan M. Borwein, "The Atlantic Gateway to Mathematics," Dec., 2004, Presentation to Nova Scotia Provincial Mathematics Team Meeting.
- [Borwein:2004:ASC] Jonathan M. Borwein, "Advanced Scientific Collaboration Environments and the Access Grid," Nov., 2004, Computer Science Colloquium, University of Saskatchewan, Saskatoon, SK, Canada.
- [Borwein:2004:BSCa] Jonathan M. Borwein, "Bumps, Slices and Cusps," Jul., 2004, Plenary Lecture on Nonsmooth Analysis, First Franco--Canadian Math Meeting, Toulouse, France, July 12--15.
- [Borwein:2004:BSCb] Jonathan M. Borwein, "Bumps, Slices and Cusps," Sep., 2004, Sixth Midwest Optimization Seminar, Plenary Talk, Wayne State University, Detroit, MI, USA, September 11.
- [Borwein:2004:CCS] Jonathan M. Borwein and Jon D. Vanderwerff, "Constructible convex sets,"
*Set-Valued Analysis*, vol. 12, no. 1--2, Mar., 2004, pg. 61--77, DOI, Online copy1. - [Borwein:2004:CMU] J. Borwein and I. Kortezov, "Constructive minimal uscos,"
*Comptes rendus de l'Academie bulgare des sciences*, vol. 57, no. 12, 2004, pg. 9--12, Online copy1. - [Borwein:2004:DBM] Jonathan M. Borwein, "David Borwein and Me: a Chronology," Jun., 2004, CMS Summer Meeting, Halifax, NS, Canada.
- [Borwein:2004:DCM] Jonathan M. Borwein and James V. Burke and Adrian S. Lewis, "Differentiability of cone-monotone functions on separable Banach space,"
*Proceedings of the American Mathematical Society*, vol. 132, no. 4, Apr., 2004, pg. 1067--1076, DOI, Online copy1, Online copy2. - [Borwein:2004:DMO] Jonathan M. Borwein, "Decomposition of Monotone Operators," Apr., 2004, Workshop on Control, Set-Valued Analysis and Applications University of French Antilles and Guyana, April 5--8.
- [Borwein:2004:DSS] Jonathan Michael Borwein and Kwok-Kwong Stephen Choi, "Dirichlet series for squares of sums of squares: a summary," American Mathematical Society, Providence, RI, USA, 2004, in Kisilevsky:2004:NTP, pg. 27--34.
- [Borwein:2004:ED] Jonathan M. Borwein, "Engines of Discovery: The Long Range Plan for HPC in Canada," Nov., 2004, Seminar, Dalhousie Faculty of Computer Science, Halifax, NS, Canada.
- [Borwein:2004:EMa] Jonathan M. Borwein, "Experimentation in Mathematics," Jan., 2004, Graduate Seminar, Mathematics Department, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2004:EMb] Jonathan M. Borwein, "Experimentation in Mathematics," Mar., 2004, Opening Lecture, Workshop on Experimental Mathematics, Oakland, CA, USA, March 29--30.
- [Borwein:2004:EMc] Jonathan M. Borwein, "Experimentation in Mathematics," May, 2004, Plenary Lecture, East Coast Computer Algebra Day, Wilfred Laurier University, Waterloo, ON N2L 3C5, Canada.
- [Borwein:2004:FEA] Jonathan M. Borwein and David Borwein and William F. Galway, "Finding and excluding $b$-ary Machin-type individual digit formulae,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 56, no. 5, 2004, pg. 897--925, DOI, Online copy1. - [Borwein:2004:IEM] Jonathan M. Borwein, "Implications of Experimental Mathematics for the Philosophy of Mathematics," Dec., 2004, CMS Winter Meeting, Session on History of Mathematics, McGill University, Montreal, QC, Canada., Online copy1.
- [Borwein:2004:ME] Jonathan M. Borwein, "Mathematics by Experiment," Jun., 2004, Opening Lecture, Discovery by Computer GERAD-DIMACS Workshop, Montreal, June 2--5.
- [Borwein:2004:MEP] Jonathan M. Borwein and David H. Bailey,
*Mathematics by Experiment: Plausible Reasoning in the 21st Century*, A. K. Peters, Ltd., Wellesley, MA, USA, 2004, pg. x + 288. - [Borwein:2004:MS] Jonathan M. Borwein, "Maximizing Surprise," Mar., 2004, Informal AARMS Workshop, Dalhousie Faculty of Computer Science, Halifax, NS, Canada.
- [Borwein:2004:OPV] Jonathan Borwein and Lixin Cheng and Marian Fabian and Julian P. Revalski, "A one perturbation variational principle and applications,"
*Set-Valued Analysis*, vol. 12, no. 1--2, 2004, pg. 49--60, DOI, Online copy1. - [Borwein:2004:PEN] J. M. Borwein and P. B. Borwein and K. Dilcher, "Pi, Euler Numbers, and Asymptotic Expansions,"
*Pi: A Source Book*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2004, DOI, Online copy1, Online copy2. - [Borwein:2004:PRCa] Jonathan M. Borwein, "Plausible Reasoning in the 21st Century I & II," Jun., 2004, NSF Undergraduate Research Experience Lectures, Clemson University, Clemson, SC, USA.
- [Borwein:2004:PRCb] Jonathan M. Borwein, "Plausible Reasoning in the 21st Century," Jul., 2004, Regular Lecture, ICME10, Copenhagen, Denmark, July 5--11.
- [Borwein:2004:PRCc] Jonathan M. Borwein, "Plausible Reasoning in the 21st Century," Oct., 2004, Colloquium, St Francis Xavier University, Antigonish, NS, Canada.
- [Borwein:2004:PRCd] Jonathan M. Borwein, "Plausible Reasoning in the 21st Century," Oct., 2004, Acadia Symposium on Modelling and Computation, Acadia University, Wolfville, NS B4P 2R6, Canada.
- [Borwein:2004:PRCe] Jonathan M. Borwein, "Plausible Reasoning in the 21st Century," Oct., 2004, Maritime Teachers Association, New Glasgow, NS, Canada.
- [Borwein:2004:RACa] Jonathan M. Borwein, "Ramanujan's AGM Continued Fractions and Dynamics: the real case," Mar., 2004, Colloquium, Mathematics Department, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2004:RACb] Jonathan M. Borwein, "Ramanujan's AGM Continued Fractions and Dynamics: the complex case," Mar., 2004, Analysis Seminar, Mathematics Department, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2004:RACc] Jonathan M. Borwein, "Ramanujan's AGM Continued Fractions and Dynamics," Aug., 2004, Workshop on Analytic and Computational Number Theory, August 23--27, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2004:RAFa] J. Borwein and R. Crandall and G. Fee, "On the Ramanujan AGM Fraction, I: The Real-Parameter Case,"
*Experimental Mathematics*, vol. 13, no. 3, 2004, pg. 275--285, DOI, Online copy1, Online copy2. - [Borwein:2004:RAFb] J. Borwein and R. Crandall, "On the Ramanujan AGM Fraction, II: The Complex-Parameter Case,"
*Experimental Mathematics*, vol. 13, no. 3, 2004, pg. 287--295, DOI, Online copy1, Online copy2. - [Borwein:2004:RME] J. M. Borwein and P. B. Borwein and D. H. Bailey, "Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi,"
*Pi: A Source Book*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2004, DOI, Online copy1, Online copy2. - [Borwein:2004:SFV] Jonathan M. Borwein, "A Single Function Variational Principle and Applications," May, 2004, Large Scale Nonlinear and Semidefinite Programming Workshop, University of Waterloo, ON, Canada, May 12--15.
- [Borwein:2004:SMA] Jonathan M. Borwein, "Surprise Maximization: Avoiding a Paradox," Nov., 2004, Mathematics Colloquium, University of Saskatchewan, Saskatoon, SK, Canada.
- [Borwein:2004:WC] Jonathan M. Borwein, "The work of the CEIC," Jul., 2004, Presentation to ICMI General Assembly, ICME10, Copenhagen, Denmark, July 5--11.
- [Crandall:2004:BIJ] Richard E. Crandall, "On a Bessel-integral of J. Borwein," Report, Reed College, Aug., 2004, Online copy1.
- [Kisilevsky:2004:NTP] Hershy Kisilevsky and Eyal Z. (Eyal Zvi) Goren, ed.,
*Number theory. Papers from the 7th conference of the Canadian Number Theory Association, University of Montreal, Montreal, QC, Canada, May 19--25, 2002*, American Mathematical Society, Providence, RI, USA, 2004, pg. xxiii + 303. - [Komatsu:2004:IDA] Takao Komatsu, "On inhomogeneous Diophantine approximation and the Borweins' algorithm,"
*Far East J. Math. Sci. (FJMS)*, vol. 12, no. 2, 2004, pg. 203--224. - [Bailey:2005:EDA] David H. Bailey and Jonathan M. Borwein and David M. Bradley, "Experimental determination of Apery-like identities for $ \zeta (2 n + 2) $,"
*ArXiv Mathematics e-prints*, May, 2005, Online copy1, Online copy2. - [Bailey:2005:EME] David H. Bailey and Jonathan M. Borwein, "Experimental mathematics: examples, methods and implications,"
*Notices of the American Mathematical Society*, vol. 52, no. 5, 2005, pg. 502--514, Online copy1, Online copy2. - [Bailey:2005:FPC] D. H. Bailey and J. M. Borwein, "Future Prospects for Computer-assisted Mathematics,"
*Canadian Mathematical Society Notes*, vol. 37, no. 8, Dec., 2005, pg. 2--6, Online copy1, Online copy2. - [Borwein:2005:A] Jonathan M. Borwein, "AARMS," Nov., 2005, Presentation, Department of Math and Stats, Memorial University, St John's, NL, Canada.
- [Borwein:2005:ADC] J. M. Borwein and K. Karamanos, "Algebraic Dynamics of Certain Gamma Function Values,"
*Generalized Convexity, Generalized Monotonicity and Applications*, Andrew Eberhard and Nicolas Hadjisavvas and Dinh The Luc, ed., Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2005, pg. 3--21, DOI, Online copy1, Online copy2. - [Borwein:2005:ADL] Jonathan M. Borwein and John Ball, "Access to the Digitized Literature," Apr., 2005, MSRI Workshop on Digitizing Mathematics, April 15--17, Berkeley, CA, USA.
- [Borwein:2005:AP] Jonathan M. Borwein, "``AARMS'' Presentation," Nov., 2005, Department of Math and Stats, University of New Brunswick, Fredericton, NB, Canada.
- [Borwein:2005:ATS] Jonathan M. Borwein, "Apery-type Series: a Case Study," Apr., 2005, Fourth Clifford Lecture, Tulane University, New Orleans, LA, USA.
- [Borwein:2005:CFT] Jonathan Michael Borwein and Kwok-Kwong Stephen Choi and Wilfried Pigulla, "Continued fractions of tails of hypergeometric series,"
*American Mathematical Monthly*, vol. 112, no. 6, Jun., 2005, pg. 493--501, DOI, Online copy1, Online copy2. - [Borwein:2005:CLC] Jonathan M. Borwein, "Computational Lists and Challenges in Mathematics?," Oct., 2005, Applied and Computational Mathematics Seminar, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2005:CMF] Jonathan M. Borwein and Xianfu Wang, "Cone-monotone functions: differentiability and continuity,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 57, no. 5, 2005, pg. 961--982, DOI. - [Borwein:2005:DC] Jonathan M. Borwein, "The Digital Congress," Apr., 2005, Site visit presentation, Canadian bid to hold ICM 2010 in Montreal, QC, Canada.
- [Borwein:2005:DCF] Jonathan M. Borwein and D. Russell Luke, "Dynamics of a continued fraction of Ramanujan with random coefficients,"
*Abstract and Applied Analysis*, vol. 2005, no. 5, 2005, pg. 449--467, DOI, Online copy1, Online copy2. - [Borwein:2005:DSC] Jonathan M. Borwein, "Dynamics of some continued fractions originating with Ramanujan," Jan., 2005, Special Session on Dynamical Systems, Combined Mathematics Meetings, Atlanta, GA, USA.
- [Borwein:2005:EBS] Jonathan M. Borwein and Roland Girgensohn, "Evaluations of binomial series,"
*Aequationes Mathematicae*, vol. 70, no. 1--2, 2005, pg. 25--36, DOI, Online copy1. - [Borwein:2005:EDA] Jonathan M. Borwein and David M. Bradley, "Empirically determined Apery-like formulae for $ \zeta (4 n + 3) $,"
*ArXiv Mathematics e-prints*, May, 2005, Online copy1, Online copy2. - [Borwein:2005:EDLa] Jonathan M. Borwein, "Engines of Discovery: the Long Range Plan for HPC in Canada," May, 2005, Presentation to HPCS05, May 15--18, 2005.
- [Borwein:2005:EDLb] Jonathan M. Borwein, "Engines of Discovery: the Long Range Plan for HPC in Canada," May, 2005, Presentation to ACOA, Halifax, NS.
- [Borwein:2005:EDLc] Jonathan M. Borwein, "Engines of Discovery: the Long Range Plan for HPC in Canada," May, 2005, Presentation to NSERC Executive VP, Ottawa, ON, Canada.
- [Borwein:2005:EDLd] Jonathan M. Borwein, "Engines of Discovery: the Long Range Plan for HPC in Canada," May, 2005, Presentation to NRC President, Ottawa.
- [Borwein:2005:EDLe] Jonathan M. Borwein, "Engines of Discovery: the Long Range Plan for HPC in Canada," Aug., 2005, Presentation to Industry Canada, Ottawa, ON, Canada.
- [Borwein:2005:EMPa] J. M. Borwein, "The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof,"
*International Journal of Computers for Mathematical Learning*, vol. 10, no. 2, May, 2005, pg. 75--108, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:2005:EMPb] Jonathan M. Borwein, "Experimental Mathematics and its Philosophical Implications," Oct., 2005, Colloquium, Australian Mathematical Sciences Institute, Melbourne, VIC, Australia.
- [Borwein:2005:EMPc] Jonathan M. Borwein, "Experimental Mathematics and its Philosophical Implications," Nov., 2005, Colloquium, Dias Abertos, University of Porto, Porto, Portugal.
- [Borwein:2005:EMW] Jonathan M. Borwein, "East meets West: Collaboration goes National," Apr., 2005, Delivered over the Access Grid to the opening of IRMACS at Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:2005:FH] Jonathan M. Borwein, "The Future is Here?," May, 2005, Presentation to National Educational Forum, Fields Institute, Toronto, ON M5T 3J1, Canada, May 6--8.
- [Borwein:2005:GV] Jonathan M. Borwein, "32 Goldbach Variations," Nov., 2005, Analysis Seminar, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2005:HIW] Jonathan M. Borwein, "Hilbert's Inequality and Witten's Zeta," Aug., 2005, Trans Canada Computational Science Seminar.
- [Borwein:2005:HPMa] Jonathan M. Borwein, "High Performance Mathematics," May, 2005, First Plenary, HPCS05, Guelph, ON, Canada, May 15--18, 2005.
- [Borwein:2005:HPMb] Jonathan M. Borwein, "High Performance Mathematics," Jun., 2005, Presentation to HPC@Dal, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2005:HPMc] Jonathan M. Borwein, "High Performance Mathematics," Jun., 2005, Presentation to Media Light Paths project `kick off', June 10, 2005.
- [Borwein:2005:HPMd] Jonathan M. Borwein, "High Performance Mathematics," Jun., 2005, Plenary Lecture, Ontario R&E Summit, Toronto, ON, Canada, June 13--14, 2005.
- [Borwein:2005:KCM] Jonathan Borwein and Terry Stanway, "Knowledge and Community in Mathematics,"
*The Mathematical Intelligencer*, vol. 27, no. 2, 2005, pg. 7--16, DOI, Online copy1. - [Borwein:2005:LCM] Jonathan M. Borwein, "Lists and Challenges in Mathematics?," Nov., 2005, Colloquium, Mathematics Department, Rutgers, the State University of New Jersey.
- [Borwein:2005:LFM] Jonathan M. Borwein and Xianfu Wang, "Lipschitz functions with maximal Clarke subdifferentials are staunch,"
*Bulletin of the Australian Mathematical Society*, vol. 72, no. 3, 2005, pg. 491--496, DOI, Online copy1, Online copy2. - [Borwein:2005:LGC] Jonathan M. Borwein, "The LRP, Grid Computing and ACE's," Mar., 2005, Dalhousie Senate Computing and Information Technology Planning Committee (SCITPC) Presentation, Halifax, NS, Canada.
- [Borwein:2005:LPa] Jonathan M. Borwein, "The Life of Pi," Oct., 2005, Colloquium: University of Melbourne, Melbourne, VIC, Australia.
- [Borwein:2005:LPb] Jonathan M. Borwein, "The Life of Pi," Oct., 2005, Colloquium: La Trobe University, Melbourne, VIC, Australia.
- [Borwein:2005:MEI] Jonathan M. Borwein, "Mathematics by Experiment, II," Apr., 2005, Second Clifford Lecture, Tulane University, New Orleans, LA, USA.
- [Borwein:2005:MEM] Jonathan M. Borwein, "Maximum Entropy Methods and (Non-) convex Programming," Jan., 2005, Special Session on Nonsmooth Analysis and Imaging, Combined Mathematics Meetings, Atlanta, GA, USA.
- [Borwein:2005:MEa] Jonathan M. Borwein, "Mathematics by Experiment," Mar., 2005, Dalhousie Math Circles --- for High Schools, Halifax, NS, Canada.
- [Borwein:2005:MEb] Jonathan M. Borwein, "Mathematics by Experiment, I," Mar., 2005, First Clifford Lecture, Tulane University, New Orleans, LA, USA.
- [Borwein:2005:MOCa] Jonathan M. Borwein, "Monotone operators as convex objects," Sep., 2005, 6th Stability Workshop, Borevetz, Bulgaria, September 5--9.
- [Borwein:2005:MOCb] Jonathan M. Borwein, "Monotone operators as convex objects," Sep., 2005, Keynote talk, Fitzpatrick Memorial Meeting, Perth, WA, Australia, September 25th.
- [Borwein:2005:MOCc] Jonathan M. Borwein, "Monotone operators as convex objects," Oct., 2005, Keynote Address, 6th Midwest Optimization Meeting, Kalamazoo, MI, USA.
- [Borwein:2005:MOCd] Jonathan M. Borwein, "Monotone operators as convex objects," Nov., 2005, Colloquium, University of Lisbon, Lisbon, Portugal.
- [Borwein:2005:MS] Jonathan M. Borwein, "Maximizing Surprise," Nov., 2005, Seminar, University of Aviero, Centre for Studies on Optimization and Control, Aveiro, Portugal.
- [Borwein:2005:PFW] Jonathan M. Borwein and Mason Macklem and Jaehyun Paek, "A Prototype for the Federated World Directory of Mathematicians,"
*SIAM Conference on Computational Science and Engineering, Orlando, February 2005*, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 2005. - [Borwein:2005:PIEa] Jonathan M. Borwein, "Philosophical Implication of Experimental (Computational) Mathematics," Jan., 2005, Philosophy of Mathematics, Invited Presentation, MAA, Atlanta, GA, USA.
- [Borwein:2005:PIEb] Jonathan M. Borwein, "Philosophical Implication of Experimental (Computational) Mathematics," Jan., 2005, Honours Seminar, Mathematics Department, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2005:RB] Jonathan M. Borwein, "Reality Bytes," Jun., 2005, Joint German-Austrian-AMS Meeting, Mainz, Germany, June 16--19, 2005. (Given by Martin Groetschel).
- [Borwein:2005:SDC] Jonathan M. Borwein, "The SIAM 100-Digit challenge: a study in high-accuracy numerical computing,"
*The Mathematical Intelligencer*, vol. 27, no. 4, 2005, pg. 40--48, DOI. - [Borwein:2005:SEC] Jonathan M. Borwein, "Symbolic and Experimental Computation," Jul., 2005, Shad Valley Afternoon in D-DRIVE.
- [Borwein:2005:SSA] J. M. Borwein and David M. Bradley, "Searching symbolically for Apery-like formulae for values of the Riemann zeta function,"
*ArXiv Mathematics e-prints*, May, 2005, Online copy1, Online copy2. - [Borwein:2005:TFI] Jonathan M. Borwein and David M. Bradley, "On Two Fundamental Identities for Euler Sums,"
*arxiv.org*, Feb., 2005, Online copy1, Online copy2. - [Borwein:2005:TTC] Jonathan M. Borwein, "(2 times) Ten Challenge Problems," Apr., 2005, Third Clifford Lecture, Tulane University, New Orleans, LA, USA.
- [Borwein:2005:TTG] J. M. Borwein and David M. Bradley, "Thirty-two Goldbach Variations,"
*ArXiv Mathematics e-prints*, Feb., 2005, Online copy1, Online copy2, Online copy3. - [Borwein:2005:TVA] Jonathan M. Borwein and Qiji J. Zhu,
*Techniques of Variational Analysis*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2005, pg. vi + 362. - [Borwein:2005:VOMa] Jonathan M. Borwein, "Visualisation and Other Mathematical Learning Tools," Sep., 2005, TransCanada Computational Science Seminar.
- [Borwein:2005:VOMb] Jonathan M. Borwein, "Visualisation and Other Mathematical Learning Tools," Sep., 2005, Lecture to Teachers, Australian Math Society Meetings, Perth, WA, Australia, September 26--30th.
- [Borwein:2005:VOMc] Jonathan M. Borwein, "Visualisation and Other Mathematical Learning Tools," Nov., 2005, Dalhousie Math Circles--for High Schools.
- [Borwein:2005:VOT] Jonathan M. Borwein, "Visualization and other tools for mathematics," Nov., 2005, Colloquium, Statistics and Operations Research Department, University of North Carolina.
- [Borwein:2005:WDD] Jonathan M. Borwein, "What is D-DRIVE?," Apr., 2005, Exhibit and presentation, Dymaxion Exchange, Halifax, NS, Canada.
- [Borwein:2005:WHPa] Jonathan M. Borwein, "What is High Performance Mathematics," Jul., 2005, Shad Valley Colloquium.
- [Borwein:2005:WHPb] Jonathan M. Borwein, "What is High Performance Mathematics," Sep., 2005, First Plenary Lecture, Australian Math Society Meetings, Perth, WA, Australia, September 26--30th.
- [Borwein:2005:WHPc] Jonathan M. Borwein, "What is High Performance Mathematics?," Oct., 2005, Colloquium, Department of Math and Stats, Western Michigan University, Kalamazoo, MI, USA.
- [Borwein:2005:WHPd] Jonathan M. Borwein, "What is High Performance Mathematics?," Nov., 2005, Colloquium, Department of Math and Stats, University of New Brunswick, Fredericton.
- [Borwein:2005:WHPe] Jonathan M. Borwein, "What is High Performance Mathematics," Nov., 2005, Colloquium, University of Aviero, Aveiro, Portugal.
- [Borwein:2005:WHPf] Jonathan M. Borwein, "What is High Performance Mathematics?," Nov., 2005, Colloquium, University of Lisbon, Lisbon, Portugal.
- [Dai:2005:ABB] Yu-Hong Dai and Li-Zhi Liao and Duan Li, "An analysis of the Barzilai and Borwein gradient method for unsymmetric linear equations,"
*Optimization and control with applications*, Springer, New York, 2005, pg. 183--211, DOI. - [Dai:2005:PBB] Yu-Hong Dai and Roger Fletcher, "Projected Barzilai--Borwein methods for large-scale box-constrained quadratic programming,"
*Numerische Mathematik*, vol. 100, no. 1, 2005, pg. 21--47, DOI. - [Fletcher:2005:BBM] Roger Fletcher, "On the Barzilai--Borwein method,"
*Optimization and control with applications*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2005, pg. 235--256, DOI. - [Georgiev:2005:PBP] Pando Gr. Georgiev, "Parametric Borwein--Preiss Variational Principle and Applications,"
*Proceedings of the American Mathematical Society*, vol. 133, no. 11, Nov., 2005, pg. 3211--3225, DOI, Online copy1. - [Hersh:2005:BRM] Reuben Hersh and Roger Frye, "Book Review: Mathematics by Experiment: Plausible Reasoning in the 21st Century,"
*SIAM Review*, vol. 47, no. 4, Dec., 2005, pg. 832--833, Online copy1. - [Hoare:2005:BRM] Graham Hoare, "Book Review: Mathematics by Experiment, by Jonathan M. Borwein, David H. Bailey. Plausible Reasoning in the 21st Century,"
*Mathematical Gazette*, vol. 89, no. 514, Mar., 2005, pg. 143--144, Online copy1. - [Kellar:2005:DCM] M. Kellar and B. MacKay and R. Zhang and C. Watters and D. Kaufman and J. Borwein, "Dynamic Composition of Math Lessons,"
*Journal of Educational Technology & Society*, vol. 6, no. 4, 2005, pg. 100--111, Online copy1, Online copy2. - [Osburn:2005:RCB] Robert Osburn, "A Remark on a Conjecture of Borwein and Choi,"
*Proceedings of the American Mathematical Society*, vol. 133, no. 10, Oct., 2005, pg. 2903--2909, DOI, Online copy1. - [Rowe:2005:EDC] Kerry Rowe and others,
*Engines of Discovery: The 21st Century Revolution. The Long Range Plan for HPC in Canada*, NRC Press, 2005. - [Shallit:2005:BRM] Jeffrey Shallit, "Book Review: Mathematics by Experiment, Jonathan Borwein and David Bailey, A K Peters, 2003, 288 pages, $45.00, ISBN 1-56881-211-6. Experimentation in Mathematics, Jonathan Borwein, David Bailey, and Roland Girgensohn, A K Peters, 2004, 357 pages, $49.00, ISBN 1-56881-136-5,"
*Notices of the American Mathematical Society*, vol. 52, no. 8, Sep., 2005, pg. 863--865, Online copy1. - [Zeilberger:2005:SSM] Doron Zeilberger, "Serving a Silicon Master: Book Reviews: Mathematics by Experiment: Plausible Reasoning in the 21st Century. Jonathan Borwein and David Bailey, x + 288 pp. A K Peters, 2004. $45. Experimentation in Mathematics: Computational Paths to Discovery. Jonathan Borwein, David Bailey and Roland Girgensohn. + 357 pp. A Peters, 2004. $49,"
*American Scientist*, vol. 93, no. 2, Apr., 2005, pg. 182--183, Online copy1. - [Alaca:2006:TDT] Ayse Alaca and Saban Alaca and Kenneth S. Williams, "On the two-dimensional theta functions of the Borweins,"
*Acta Arithmetica*, vol. 124, no. 2, 2006, pg. 177--195, DOI. - [Bailey:2006:EBE] D. H. Bailey and J. M. Borwein, "Effective Bounds in Euler--Maclaurin-Based Quadrature (Summary for HPCS06),"
*20th International Symposium on High-Performance Computing in an Advanced Collaborative Environment (HPCS'06)*, IEEE Computer Society Press, 1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA, May, 2006, pg. 34--34, DOI, Online copy1. - [Bailey:2006:EDA] David H. Bailey and Jonathan M. Borwein and David M. Bradley, "Experimental Determination of Apery-like Identities for $ \zeta (2 n + 2) $,"
*Experimental Mathematics*, vol. 15, no. 3, 2006, pg. 281--289, DOI, Online copy1, Online copy2. - [Bailey:2006:FGE] David H. Bailey and Jonathan M. Borwein, "Finding General Explicit Formulas for Ising Integral Recursions," Report, Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University, Oct., 2006, Online copy1.
- [Bailey:2006:IIC] D. H. Bailey and J. M. Borwein and R. E. Crandall, "Integrals of the Ising class,"
*Journal of Physics A (Mathematical and General)*, vol. 39, no. 40, Oct., 2006, pg. 12271--12302, DOI, Online copy1, Online copy2, Online copy3, Online copy4. - [Bailey:2006:TPE] David H. Bailey and Jonathan M. Borwein and Vishaal Kapoor and Eric W. Weisstein, "Ten problems in experimental mathematics,"
*American Mathematical Monthly*, vol. 113, no. 6, Jun., 2006, pg. 481--509, DOI, Online copy1, Online copy2. - [Borwein:2006:ACEa] Jonathan M. Borwein, "Advanced Collaborative Environments and Tools," Mar., 2006, Workshop on Intelligent Computing, Dalhousie, March 6--7, 2006.
- [Borwein:2006:ACEb] Jonathan M. Borwein, "Advanced Collaborative Environments," May, 2006, Symposium on the Computer: the once and future medium for the social sciences and humanities, York University, Toronto, ON, Canada, May 30.
- [Borwein:2006:ACEc] Jonathan M. Borwein, "Advanced Collaborative Environments," Jun., 2006, Presentation to Canadian International Olympiad Team, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2006:AMO] Jonathan M. Borwein and H. Wiersma, "Acyclic Monotone Operators," Jan., 2006, Atlantic Analysis Days, January 20--21, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2006:AWM] Jonathan M. Borwein, "Aesthetics for the working mathematician,"
*Mathematics and the aesthetic*, N. Sinclair and W. Higginson, ed., Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2006, pg. 21--40, Online copy1. - [Borwein:2006:BDE] Jonathan Borwein and Vicente Montesinos and Jon Vanderwerff, "Boundedness, differentiability and extensions of convex functions,"
*Journal of Convex Analysis*, vol. 13, no. 3--4, 2006, pg. 587--602, Online copy1, Online copy2. - [Borwein:2006:BP] Jonathan M. Borwein, "Backing up the planet," Nov., 2006, Interview on Quirks and Quarks, CBC Radio One.
- [Borwein:2006:CAD] Jonathan M. Borwein, "Computer-assisted discovery and proof of generating functions for zeta functions," Jan., 2006, Atlantic Analysis Days, January 20--21, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2006:CAN] Jonathan M. Borwein and Adrian S. Lewis,
*Convex analysis and nonlinear optimization*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2006, pg. xii + 310. - [Borwein:2006:CE] Jonathan M. Borwein, "Collaborative Environments," May, 2006, Panel Discussion HPCS 06, Memorial University, St John's, NL, Canada.
- [Borwein:2006:DLP] Jonathan M. Borwein and Mason S. Macklem, "The (digital) life of Pi,"
*Australian Mathematical Society Gazette*, vol. 33, no. 4, Sep., 2006, pg. 243--248, Online copy1, Online copy2. - [Borwein:2006:DSC] Jonathan M. Borwein, "Dynamics of some continued fractions originating with Ramanujan," Jan., 2006, Number Theory Seminar, University of Waterloo, Waterloo, ON, Canada.
- [Borwein:2006:ED] Jonathan M. Borwein, "Engines of Discovery: the Long Range Plan for HPC in Canada," Apr., 2006, Presentation to NSERC President and Senior Administrators, Ottawa.
- [Borwein:2006:EEBa] Jonathan M. Borwein, "Effective Error Bounds for Euler--Maclaurin-Based Quadrature Schemes," May, 2006, HPCS 06, Memorial University, St John's, NL, Canada., Online copy1.
- [Borwein:2006:EEBb] Jonathan M. Borwein, "Effective Error Bounds for Euler--Maclaurin-Based Quadrature Schemes," May, 2006, Computer Science Seminar, University of Saskatchewan, Saskatoon, SK, Canada., Online copy1.
- [Borwein:2006:EM] Jonathan M. Borwein and David H. Bailey and Roland Girgensohn,
*Experiments in Mathematics*, A. K. Peters, Ltd., Wellesley, MA, USA, 2006. - [Borwein:2006:EMEa] Jonathan M. Borwein, "Experimental Math and Extreme Quadrature, I," Oct., 2006, Analysis Seminar, D-DRIVE, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2006:EMEb] Jonathan M. Borwein, "Experimental Math and Extreme Quadrature, II," Nov., 2006, Analysis Seminar, D-DRIVE, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2006:FL] Jonathan M. Borwein, "First Lecture," Jan., 2006, MAA Shortcourse on Experimental Mathematics, San Antonio, TX, USA.
- [Borwein:2006:FLVa] Jonathan M. Borwein, "Four Lectures on Variational Principles. I: Bumps, Cusps and Slices," Apr., 2006, Spring School on Analysis, Paseky, Czech Republic.
- [Borwein:2006:FLVb] Jonathan M. Borwein, "Four Lectures on Variational Principles. II: Monotone operators as Convex Objects," Apr., 2006, Spring School on Analysis, Paseky, Czech Republic.
- [Borwein:2006:FLVc] Jonathan M. Borwein, "Four Lectures on Variational Principles. III: Decompositions of Monotone Operators," Apr., 2006, Spring School on Analysis, Paseky, Czech Republic.
- [Borwein:2006:FLVd] Jonathan M. Borwein, "Four Lectures on Variational Principles. IV: Chebyshev Sets and Proximality," Apr., 2006, Spring School on Analysis, Paseky, Czech Republic.
- [Borwein:2006:FRO] Jonathan M. Borwein, "Featured Review: Oxford Users' Guide to Mathematics. Edited by Eberhard Zeidler. Oxford University Press, Oxford, 2004. $59.50. xxii + 1285 pp., softcover. ISBN 0-19-850763-1,"
*SIAM Review*, vol. 48, no. 3, Sep., 2006, pg. 585--594, DOI, Online copy1, Online copy2. - [Borwein:2006:HPMa] Jonathan M. Borwein, "High Performance Mathematics in Maple," Mar., 2006, Seminar, MapleSoft, Waterloo, Waterloo, ON, Canada.
- [Borwein:2006:HPMb] Jonathan M. Borwein, "High Performance Mathematics and its Management," Jun., 2006, Colloquium, Information Technology Laboratory, NIST, Washington, DC, USA.
- [Borwein:2006:HPMc] Jonathan M. Borwein, "High Performance Mathematics and its Management," Nov., 2006, Colloquium, Department of Math and Stats, York University, Toronto, ON, Canada.
- [Borwein:2006:HPMd] Jonathan M. Borwein, "High Performance Mathematics and its Management," Dec., 2006, Colloquium, AMSI Access Grid Conference, La Trobe University, Melbourne, VIC, Australia (given over Access Grid).
- [Borwein:2006:HPMe] Jonathan M. Borwein, "High Performance Mathematics and its Management," Dec., 2006, IMA Hot Topics Workshop, The Evolution of Mathematical Communication in the Age of Digital Libraries, December 8--9.
- [Borwein:2006:LP] Jonathan M. Borwein, "Life of Pi," Mar., 2006, Colloquium, Mona Campus, University of the West Indies, Kingston, Jamaica.
- [Borwein:2006:LRP] Jonathan M. Borwein, "The long-range plan for advanced computing in Canada," Sep., 2006, Presentation to Petter Nicholson, President Council of Canadian Academies (CCA), Ottawa, ON, Canada.
- [Borwein:2006:MEM] Jonathan M. Borwein, "Maximum Entropy Methods and (Non-) convex Programming," Oct., 2006, Plenary talk Atlantic Optimization Days, Fredericton, NB, Canada, Oct 5--6.
- [Borwein:2006:MKM] Jonathan M. Borwein and William Michael Farmer, ed.,
*Mathematical knowledge management: 5th international conference, MKM 2006, Wokingham, UK, August 11--12, 2006: proceedings*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2006, pg. viii + 294, Online copy1, Online copy2. - [Borwein:2006:MMC] Jonathan M. Borwein, "Maximal monotonicity via convex analysis,"
*Journal of Convex Analysis*, vol. 13, no. 3--4, 2006, pg. 561--586, Online copy1, Online copy2. - [Borwein:2006:MOCa] Jonathan M. Borwein, "Monotone operators as convex objects," Jan., 2006, Optimization Seminar, University of Waterloo, Waterloo, ON, Canada.
- [Borwein:2006:MOCb] Jonathan M. Borwein, "Monotone operators as convex objects," Apr., 2006, Plenary Lecture, Mathematics of Optimization and Decision, Guadeloupe, April 18--21, 2006.
- [Borwein:2006:MPR] Jonathan M. Borwein, "Mathematics and Plausible Reasoning," May, 2006, ISM, Graduate Student Conference, Laval, QC, Canada. May 23--25, 2006.
- [Borwein:2006:MS] Jonathan Borwein and Helaman Ferguson, "The mathematics of salt," Dec., 2006, Preprint.
- [Borwein:2006:MSM] Jonathan M. Borwein, "Maximality of Sums of Monotone Operators," Dec., 2006, Special Session on Functional Analysis.
- [Borwein:2006:MST] Jonathan M. Borwein, "Maximality of sums of two maximal monotone operators,"
*Proceedings of the American Mathematical Society*, vol. 134, no. 10, 2006, pg. 2951--2955, DOI, Online copy1, Online copy2. - [Borwein:2006:NDT] Jonathan M. Borwein, "Notes from, the digital trenches: the work of the CEIC," Oct., 2006, C2C Seminar, from D-DRIVE.
- [Borwein:2006:PES] David Borwein and Jonathan M. Borwein and David M. Bradley, "Parametric Euler sum identities,"
*Journal of Mathematical Analysis and Applications*, vol. 316, no. 1, Apr., 2006, pg. 328--338, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:2006:QCT] Jonathan Borwein and Peter (Liquin) Ye, "Quadratic Convergence of the Tanh--Sinh Quadrature Rule," Feb., 2006, Preprint., Online copy1.
- [Borwein:2006:SCM] Jonathan M. Borwein and Chris H. Hamilton, "Symbolic Computation of Multidimensional Fenchel Conjugates,"
*Proceedings of the 2006 International Symposium on Symbolic and Algebraic Computation: ISSAC 2006*, ACM Press, New York, NY 10036, USA, 2006, pg. 23--30, DOI, Online copy1. - [Borwein:2006:SFM] Jonathan Borwein, "Simon Fitzpatrick memorial volume,"
*Journal of Convex Analysis*, vol. 13, no. 3--4, 2006, pg. 463--476, Online copy1. - [Borwein:2006:TTG] Jonathan M. Borwein and David M. Bradley, "Thirty-two Goldbach variations,"
*International Journal of Number Theory*, vol. 2, no. 1, 2006, pg. 65--103, DOI, Online copy1. - [Borwein:2006:VMC] Jonathan M. Borwein and Qiji J. Zhu, "Variational methods in convex analysis,"
*Journal of Global Optimization*, vol. 35, no. 2, 2006, pg. 197--213, DOI, Online copy1. - [Borwein:2006:WHPa] Jonathan M. Borwein, "What is High Performance Mathematics?," Jan., 2006, Colloquium, University of Waterloo, Waterloo, ON, Canada.
- [Borwein:2006:WHPb] Jonathan M. Borwein, "What is High Performance Mathematics?," Mar., 2006, Mathematics Colloquium, Acadia University, Wolfville, NS B4P 2R6, Canada.
- [Borwein:2006:WHPc] Jonathan M. Borwein, "What is High Performance Mathematics?," Apr., 2006, Colloquium, Spring School on Analysis, Paseky, Czech Republic.
- [Dai:2006:CBB] Yu-Hong Dai and William W. Hager and Klaus Schittkowski and Hongchao Zhang, "The cyclic Barzilai--Borwein method for unconstrained optimization,"
*IMA Journal of Numerical Analysis*, vol. 26, no. 3, 2006, pg. 604--627, DOI. - [Robin:2006:BRP] Anthony C. Robin, "Book Review: Pi: A Source Book,"
*Mathematical Gazette*, vol. 90, no. 518, Jul., 2006, pg. 375--376, Online copy1. - [Zaharescu:2006:BCA] Alexandru Zaharescu, "Borwein's conjecture on average over arithmetic progressions,"
*The Ramanujan Journal*, vol. 11, no. 1, 2006, pg. 95--102, DOI. - [Zhang:2006:PPA] Hongchao Zhang and William W. Hager, "PACBB: a projected adaptive cyclic Barzilai--Borwein method for box constrained optimization,"
*Multiscale optimization methods and applications*, Springer, New York, 2006, pg. 387--392, DOI. - [xxx-00411] Jonathan M. Borwein, "Final Lecture," Jan., 2006, MAA Shortcourse on Experimental Mathematics, San Antonio, TX, USA.
- [Artacho:2007:NSC] Francisco J. Aragon Artacho, "A new and self-contained proof of Borwein's norm duality theorem,"
*Set-Valued Analysis*, vol. 15, no. 3, 2007, pg. 307--315, DOI. - [Bailey:2007:BI] D. H. Bailey and J. M. Borwein and R. E. Crandall, "Box integrals,"
*Journal of Computational and Applied Mathematics*, vol. 206, no. 1, Sep., 2007, pg. 196--208, DOI, Online copy1, Online copy2, Online copy3. - [Bailey:2007:EMA] David H. Bailey and Jonathan M. Borwein and Neil J. Calkin and Roland Girgensohn and D. Russell Luke and Victor Moll,
*Experimental Mathematics in Action*, A. K. Peters, Ltd., Wellesley, MA, USA, 2007, pg. xii + 322. - [Bailey:2007:HFI] D. H. Bailey and D. Borwein and J. M. Borwein and R. E. Crandall, "Hypergeometric Forms for Ising-Class Integrals,"
*Experimental Mathematics*, vol. 16, no. 3, 2007, pg. 257--276, DOI, Online copy1, Online copy2. - [Bailey:2007:HSI] D. Bailey and J. Borwein and R. Crandall and D. Manna, "Heisenberg spin integrals," Aug., 2007, Preprint.
- [Bailey:2007:SPa] David H. Bailey and Jonathan M. Borwein, "Solution to Problem 11275," Report, Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University, Feb., 2007, Online copy1.
- [Bailey:2007:SPb] David H. Bailey and Jonathan M. Borwein, "Solution to Monthly Problem 11277," Report, Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University, Mar., 2007, Online copy1.
- [Bartz:2007:FFC] Sedi Bartz and Heinz H. Bauschke and Jonathan M. Borwein and Simeon Reich and Xianfu Wang, "Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative,"
*Nonlinear Analysis, Theory, Methods and Applications*, vol. 66, no. 5, 2007, pg. 1198--1223, DOI, Online copy1, Online copy2. - [Bauschke:2007:FFC] Heinz H. Bauschke and Jonathan M. Borwein and Xianfu Wang, "Fitzpatrick functions and continuous linear monotone operators,"
*SIAM Journal on Optimization*, vol. 18, no. 3, 2007, pg. 789--809, DOI, Online copy1. - [Borwein:2007:ADMa] Jonathan Borwein and Herre Wiersma, "Asplund decomposition of monotone operators,"
*SIAM Journal on Optimization*, vol. 18, no. 3, 2007, pg. 946--960, DOI, Online copy1. - [Borwein:2007:ADMb] Jonathan M. Borwein, "Asplund decompositions of monotone operators,"
*CSVAA 2004---control set-valued analysis and applications, ESAIM: Proceedings*, Alain Pietrus and Michel H. Geoffroy, ed., EDP Sci., Les Ulis, France, 2007, pg. 19--25, DOI, Online copy1. - [Borwein:2007:APP] Jonathan M. Borwein, "AARMS: Past, Present and Future," Feb., 2007, Colloquium, Department of Math and Stats, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2007:BLS] Jonathan M. Borwein, "The Book of Lawrence: a Serious Satire," Feb., 2007, Presentation, Halifax Unitarian Universalist Assembly, Halifax, NS, Canada.
- [Borwein:2007:CAD] Jonathan M. Borwein, "Computer-assisted Discovery and Proof of Generating Functions for Riemann's Zeta," Jan., 2007, First Lecture, MAA Special Session on Experimental Mathematics.
- [Borwein:2007:CCS] Jonathan M. Borwein and David Langstroth and Mason Macklem and Scott Wilson and V. Jungic, "The Coast-to-Coast Seminar and Remote Mathematical Collaboration,"
*21st International Symposium on High Performance Computing Systems and Applications. HPCS 2007, Saskatoon, SK, Canada, 13--16 May 2007*, IEEE Computer Society Press, 1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA, May, 2007, pg. 23--29, DOI. - [Borwein:2007:CDS] Jonathan M. Borwein, "A class of Dirichlet series integrals,"
*American Mathematical Monthly*, vol. 114, no. 1, Jan., 2007, pg. 70--76, Online copy1, Online copy2. - [Borwein:2007:CNS] Jonathan M. Borwein and Warren B. Moors, "Chapter 50: Non-smooth analysis, optimisation theory and Banach space theory,"
*Open Problems in Topology II*, Elliott Pearl, ed., Elsevier, Amsterdam, The Netherlands, 2007, pg. 549--559, DOI, Online copy1. - [Borwein:2007:CSF] Jonathan M. Borwein, "The C2C Seminar: Five Years of Experience with the Access Grid," May, 2007, HPCS07, University of Manitoba, Winnipeg, MB, Canada.
- [Borwein:2007:CSR] Jonathan M. Borwein and M. Macklem, "The C2C Seminar and Remote Mathematical Collaboration," Feb., 2007, Presentation to e+Calculus Conference Lisbon, Portugal.
- [Borwein:2007:CTH] Jonathan M. Borwein, "Collaborative Technology: High Performance Mathematics and its Management," Jul., 2007, AARMSslash ACENetslash MITAC Summer Workshop on High Performance Computing in the Mathematical Sciences, Acadia University, Wolfville, NS, July 9--12.
- [Borwein:2007:DCR] D. Borwein and J. Borwein and R. Crandall and R. Mayer, "On the dynamics of certain recurrence relations,"
*The Ramanujan Journal*, vol. 13, no. 1--3, 2007, pg. 63--101, DOI, Online copy1, Online copy2. - [Borwein:2007:ECB] Jonathan M. Borwein, "Effective Computation of Bessel Functions," Jul., 2007, 8th Bluenose Numerical Analysis Days, St Marys University, Halifax, NS, Canada.
- [Borwein:2007:EDPa] Jonathan M. Borwein, "Experimental Discovery and Proof of Identities," Nov., 2007, Chaitin 60th Birthday Symposium, IBM Watson Centre, Yorktown, NY, USA.
- [Borwein:2007:EDPb] Jonathan M. Borwein, "Experimental Discovery and Proof of Generating Functions," Dec., 2007, Special session on Algorithmic Challenges in Polynomial and Linear Algebra CMS Winter Meeting, University of Western Ontario, London, ON, Canada.
- [Borwein:2007:ELAa] David Borwein and Jonathan Borwein and Richard Crandall, "Effective Laguerre asymptotics," Report, Department of Computer Science, Dalhousie University, 2007, Online copy1, Online copy2, Online copy3.
- [Borwein:2007:ELAb] Jonathan M. Borwein, "Effective Laguerre Asymptotics, I," Jan., 2007, Dalhousie Analysis Seminar, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2007:ELAc] Jonathan M. Borwein, "Effective Laguerre Asymptotics, II," Feb., 2007, Dalhousie Analysis Seminar, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2007:EMA] Jonathan M. Borwein, "Experimental Mathematics in Action," Jul., 2007, Carleton College, Northfield, MN., Online copy1.
- [Borwein:2007:EMV] Jonathan M. Borwein, "Experimental Mathematics with Variational Applications," Aug., 2007, ICCOPT 2007, McMaster University, Hamilton, ON, Canada.
- [Borwein:2007:FFS] Jonathan M. Borwein, "Finding Funding in the Sciences," Mar., 2007, Interdisciplinary PhD Presentation, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2007:IEMa] Jonathan M. Borwein, "Introduction to Experimental Mathematics," Sep., 2007, Honours Seminar, Dalhousie Mathematics Department.
- [Borwein:2007:IEMb] Jonathan M. Borwein, "Introduction to Experimental Mathematics," Sep., 2007, Colloquium, Okanagan Community College, Kelowna, BC, Canada.
- [Borwein:2007:IEMc] Jonathan M. Borwein, "Introduction to Experimental Mathematics: Insight through Computation," Sep., 2007, Interdisciplinary Colloquium, IRMACS, Simon Fraser University, Burnaby, BC, Canada.
- [Borwein:2007:IEMd] Jonathan M. Borwein, "Introduction to Experimental Mathematics: Insight through Computation," Nov., 2007, Applied Mathematics Colloquium, Cornell University, Ithaca, NY, USA.
- [Borwein:2007:IPA] Jonathan M. Borwein and Marc Chamberland, "Integer powers of arcsin,"
*International Journal of Mathematics and Mathematical Sciences*, Jun., 2007, pg. Art. ID 19381, 10, DOI, Online copy1. - [Borwein:2007:IRW] Jonathan M. Borwein, "Interdisciplinary research: What works, what doesn't," Jun., 2007, Keynote address, 2007 Faculty Research Day, Dalhousie Faculty of Management, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2007:IWW] Jonathan M. Borwein, "Interdisciplinarity: what works, what doesn't," Oct., 2007, Colloquium, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2007:LPT] Jonathan M. Borwein, "The Life of Pi --- a Talk for Pi Day," Mar., 2007, Analysis Seminar, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2007:MST] Jonathan M. Borwein, "Maximality of sums of two maximal monotone operators in general Banach space,"
*Proceedings of the American Mathematical Society*, vol. 135, no. 12, Dec., 2007, pg. 3917--3924, DOI, Online copy1, Online copy2. - [Borwein:2007:MWN] Jonathan M. Borwein, "Math: What's New, What's Possible, What's Coming?," Dec., 2007, Talks to Grade nine and ten students at AB Lucas Secondary School, London, ON, Canada.
- [Borwein:2007:NAA] J. M. Borwein and W. A. Moors, "Nonsmooth Analysis, Approximation Theory and Banach Space Theory," 2007, in Pearl:2007:OPT, pg. 557--566.
- [Borwein:2007:PCS] Jonathan M. Borwein, "Proximality and Chebyshev sets,"
*Optimization Letters*, vol. 1, no. 1, 2007, pg. 21--32, DOI, Online copy1. - [Borwein:2007:PRB] J. M. Borwein and B. Salvy, "A Proof of a Recursion for Bessel Moments,"
*ArXiv e-prints*, Jun., 2007, Online copy1, Online copy2. - [Borwein:2007:REM] J. M. Borwein and Mason Macklem, "Retro-enhancement of Mathematical Literature," Mar., 2007, Preprint., Online copy1.
- [Borwein:2007:SCR] Jonathan M. Borwein, "Some convexity results a Jon or a Thompson might like," Jun., 2007, 65th Birthday Colloquium lecture for Jon Thompson, (Inter-Campus Seminar Day), University of New Brunswick, Moncton, NB, Canada.
- [Borwein:2007:SMFa] Jonathan M. Borwein, "Some of my Favourite Convexity Results," Sep., 2007, OCANA Seminar, Department of Mathematics, Statistics and Physics, UBCO, Kelowna, BC.
- [Borwein:2007:SMFb] Jonathan M. Borwein, "Some of my Favourite Convexity Results," Oct., 2007, Math Colloquium, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2007:SMFc] Jonathan M. Borwein, "Some of my Favourite Convexity Results," Nov., 2007, Applied Nonlinear Optimization Day, CORS and Ddrive, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2007:SS] Jonathan M. Borwein, "Setting the Stage," Apr., 2007, Opening presentation to Workshop on Math Knowledge Management: Sustainability, Scalability, and Interoperability, Dalhousie University, Halifax, NS, Canada, April 26--28, 2007.
- [Borwein:2007:TCR] Jonathan M. Borwein, "Three Convexity Results," Mar., 2007, Second Annual AARMS Analysis Days, in honour of Tony Thompson, Dalhousie University, Halifax, NS, Canada, March 30--31.
- [Borwein:2007:VPE] David Borwein and Jonathan Borwein, "van der Pol Expansions of $L$-Series,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 50, no. 1, Mar., 2007, pg. 11--23, DOI, Online copy1. - [Borwein:2007:WNW] Jonathan M. Borwein, "What's New, What's Possible, What's Coming?," Feb., 2007, Dalhousie Open House, Dalhousie FCS, Halifax, NS, Canada.
- [Gourevitch:2007:CBS] Boris Gourevitch and Jesus Guillera Goyanes, "Construction of binomial sums for $ \pi $ and polylogarithmic constants inspired by BBP formulas,"
*Appl. Math. E-Notes*, vol. 7, 2007, pg. 237--246. - [Hu:2007:IBB] Yi-Qing Hu and Yu-Hong Dai, "Inexact Barzilai--Borwein method for saddle point problems,"
*Numerical Linear Algebra with Applications*, vol. 14, no. 4, 2007, pg. 299--317, DOI. - [Pearl:2007:OPT] Elliott Pearl, ed.,
*Open problems in topology II*, Elsevier, Amsterdam, The Netherlands, 2007, pg. 763. - [Qiu:2007:LCL] J. H. Qiu and S. Rolewicz, "Local completeness of locally pseudoconvex spaces and Borwein--Preiss variational principle,"
*Studia Mathematica*, vol. 183, no. 2, 2007, pg. 99--115, DOI. - [Wang:2007:PBB] Yanfei Wang and Shiqian Ma, "Projected Barzilai--Borwein method for large-scale nonnegative image restoration,"
*Inverse Problems in Science and Engineering*, vol. 15, no. 6, 2007, pg. 559--583, DOI. - [Bailey:2008:CAD] David H. Bailey and Jonathan M. Borwein, "Computer-assisted discovery and proof,"
*Tapas in experimental mathematics*, American Mathematical Society, Providence, RI, USA, 2008, pg. 21--52, DOI, Online copy1. - [Bailey:2008:EEB] David H. Bailey and Jonathan M. Borwein, "Effective Error Bounds for Euler--Maclaurin-Based Quadrature Schemes," 2008, in IEEE:2008:HIS.
- [Bailey:2008:EIE] David H. Bailey and Jonathan M. Borwein and David Broadhurst and M. L. Glasser, "Elliptic integral evaluations of Bessel moments and applications,"
*Journal of Physics A: Mathematical and Theoretical*, vol. 41, no. 20, May, 2008, pg. 205203, DOI, Online copy1, Online copy2, Online copy3, Online copy4. - [Bailey:2008:HPC] D. H. Bailey and J. M. Borwein, "High-Precision Computation and Mathematical Physics,"
*Proceedings of XII Advanced Computing and Analysis Techniques in Physics Research*, 2008, pg. 14, Online copy1, Online copy2. - [Bailey:2008:HPH] David H. Bailey and Jonathan M. Borwein, "Highly Parallel, High-Precision Numerical Integration," Report, Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University, Apr., 2008, Online copy1.
- [Bailey:2008:HPN] D. H. Bailey and J. M. Borwein, "High-Precision Numerical Integration: Progress and Challenges,"
*MICA conference May 2008*, 2008, Online copy1. - [Bailey:2008:PSP] David H. Bailey and Jonathan M. Borwein, "Proposed SIAM Problem," Report, Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University, Aug., 2008, Online copy1.
- [Baillie:2008:SSS] Robert Baillie and David Borwein and Jonathan M. Borwein, "Surprising sinc sums and integrals,"
*American Mathematical Monthly*, vol. 115, no. 10, Dec., 2008, pg. 888--901, Online copy1, Online copy2. - [Borwein:2008:BST] J. M. Borwein and A. C. Eberhard, "Banach spaces of type (NI) and monotone operators on non-reflexive spaces," Jun., 2008, Preprint.
- [Borwein:2008:CADa] Jonathan M. Borwein, "Computer-assisted discovery and proof," Sep., 2008, Colloquium, Department of Mathematics and Statistics, University of Melbourne, Melbourne, VIC, Australia., Online copy1.
- [Borwein:2008:CADb] Jonathan M. Borwein, "Computer-assisted discovery and proof: Part I," Nov., 2008, Colloquium, Department of Mathematics, Australian National University, Canberra, ACT, Australia.
- [Borwein:2008:CADc] Jonathan M. Borwein, "Computer-assisted discovery and proof: Part II," Nov., 2008, Colloquium, Department of Mathematics, Australian National University, Canberra, ACT, Australia.
- [Borwein:2008:CCC] J. Borwein and V. Jungic and D. Langstroth and M. Macklem and S. Wilson, "Coast-to-Coast (C2C) Seminar: Background, History, and Practice," 2008, in Borwein:2008:CMD, pg. 127--140, DOI, Online copy1.
- [Borwein:2008:CCI] Jonathan M. Borwein, "The computer as crucible: an introduction to experimental mathematics," Mar., 2008, Physics Colloquium, University of Newcastle, Newcastle, NSW, Australia., Online copy1.
- [Borwein:2008:CMD] Jonathan M. Borwein and E. M. (Eugenio M.) Rocha and Jose-Francisco Rodrigues, ed.,
*Communicating Mathematics in the Digital Era*, A. K. Peters, Ltd., Wellesley, MA, USA, 2008, pg. xii + 325. - [Borwein:2008:DAD] Jonathan M. Borwein, "Digitally-assisted Discovery and Proof," Dec., 2008, Invited lecture in Special Session on University Mathematics Education, Teaching and Learning, 7th NZ-AustMS Joint Meeting, ANZMC2008, Christchurch, New Zealand, December 8--12., Online copy1.
- [Borwein:2008:DRT] Jonathan M. Borwein and D. Russell Luke, "Dynamics of a Ramanujan-type continued fraction with cyclic coefficients,"
*The Ramanujan Journal*, vol. 16, no. 3, 2008, pg. 285--304, DOI, Online copy1. - [Borwein:2008:EBF] David Borwein and Jonathan M. Borwein and O-Yeat Chan, "The evaluation of Bessel functions via exp-arc integrals,"
*Journal of Mathematical Analysis and Applications*, vol. 341, no. 1, May, 2008, pg. 478--500, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:2008:ECB] Jonathan M. Borwein, "Effective Computation of Bessel Functions," Jan., 2008, SIAM-AMS Special Session on Special Functions, Combined Membership Meetings, San Diego, CA, USA, Jan 6--9, 2008.
- [Borwein:2008:ECE] J. M. Borwein and I. J. Zucker and J. Boersma, "The evaluation of character Euler double sums,"
*The Ramanujan Journal*, vol. 15, no. 3, 2008, pg. 377--405, DOI, Online copy1, Online copy2. - [Borwein:2008:ELA] David Borwein and Jonathan M. Borwein and Richard E. Crandall, "Effective Laguerre asymptotics,"
*SIAM Journal on Numerical Analysis*, vol. 46, no. 6, 2008, pg. 3285--3312, DOI, Online copy1. - [Borwein:2008:FCVa] Jonathan M. Borwein, "Future Challenges for Variational Analysis," Nov., 2008, Plenary Lecture (presented by Andrew Eberhard), Conference on Variational Analysis and Nonlinear Optimization, National Sun-Yat-Sen University, Kaohsiung, Taiwan, November 28--30., Online copy1.
- [Borwein:2008:FCVb] Jonathan M. Borwein, "Future Challenges for Variational Analysis," Dec., 2008, Plenary Lecture in Special Session on Nonlinear Optimization and Applications, 7th NZ-AustMS Joint Meeting, ANZMC2008, Christchurch, New Zealand, December 8--12., Online copy1.
- [Borwein:2008:HIW] Jonathan M. Borwein, "Hilbert's Inequality and Witten's Zeta-Function,"
*American Mathematical Monthly*, vol. 115, no. 2, Feb., 2008, pg. 125--137, Online copy1. - [Borwein:2008:IEM] Jonathan Borwein, "Implications of experimental mathematics for the philosophy of mathematics," Longman Scientific and Technical, Harlow, Essex, UK, 2008, in Gold:2008:POD, pg. 33--61, Online copy1.
- [Borwein:2008:LPTa] Jonathan M. Borwein, "Life of Pi: a Talk for Pi Day," Mar., 2008, AMSI Access Grid Colloquium, Australia.
- [Borwein:2008:LPTb] Jonathan M. Borwein, "Life of Pi: a Talk for Pi Day," Mar., 2008, IRMACS Access Grid Colloquium, Simon Fraser University, Burnaby, BC, Canada, Canada.
- [Borwein:2008:ME] Jonathan Borwein and David Bailey,
*Mathematics by Experiment*, A. K. Peters, Ltd., Wellesley, MA, USA, 2008, pg. xii + 377. - [Borwein:2008:MEMa] Jonathan M. Borwein, "My experiences with mathematical software," Aug., 2008, Seminar, Department of Mathematics, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2008:MEMb] Jonathan M. Borwein, "Maximum Entropy Methods for Inverse Problems," Sep., 2008, Colloquium, Department of Mathematical Sciences, RMIT, Melbourne, VIC, Australia.
- [Borwein:2008:MWNa] Jonathan M. Borwein, "Math: What's New, What's Possible, What's Coming?," Aug., 2008, ICE-EMslash ICE day from Victoria University, Melbourne VIC 3000, Australia, presented from Wollongong Access Grid Room.
- [Borwein:2008:MWNb] Jonathan M. Borwein, "Math: What's New, What's Possible, What's Coming?," Oct., 2008, Colloquium, Department of Mathematical Sciences, RMIT, Melbourne, VIC, Australia.
- [Borwein:2008:PBR] Jonathan M. Borwein, "Peter Borwein Revisited: A Brother's Retrospective," May, 2008, IRMACS Conference celebrating Peter Borwein's 55th Birthday, Simon Fraser University, Burnaby, BY, Canada, May 12--16, 2008.
- [Borwein:2008:PCS] Jonathan M. Borwein, "Proximality and Chebyshev sets," Jul., 2008, Analysis Seminar, University of Newcastle, Newcastle, NSW, Australia., Online copy1.
- [Borwein:2008:PRB] Jonathan M. Borwein and Bruno Salvy, "A Proof of a Recurrence for Bessel Moments,"
*Experimental Mathematics*, vol. 17, no. 2, 2008, pg. 223--230, DOI, Online copy1, Online copy2. - [Borwein:2008:PYM] Jonathan M. Borwein, "The past 60 years in Mathematics," Dec., 2008, Colloquium, Department of Mathematics, University of Auckland, Auckland, New Zealand.
- [Borwein:2008:SMF] Jonathan M. Borwein, "Some of my Favourite Convex Functions," Dec., 2008, NZIMA Plenary Lecture, 7th NZ-AustMS Joint Meeting, ANZMC2008, Christchurch, New Zealand, December 8--12.
- [Borwein:2008:U] Jonathan M. Borwein, "[untitled]," Apr., 2008, CEIC Presentation to IMU Executive, Hungarian Academy of Science, Budapest, Hungary.
- [Borwein:2008:VPG] J. M. Borwein, "La vita di pi greco. (Italian) [The life of Greek pi],"
*Mathematics and Culture, La matematica: Problemi e teoremi*, Guilio Einaudi Editori, Turino, Italy, 2008, Online copy1. - [Borwein:2008:WEM] J. M. Borwein and D. H. Bailey, "What is Experimental Mathematics,"
*Enciclopedia della Scienza e della Tecnica*, Giovanni Treccani, ed., Roma, Italia, 2008. - [Eberhard:2008:SOC] A. C. Eberhard and J. M. Borwein, "Second Order Cones for Maximal Monotone Operators via Representative Functions,"
*Set-Valued Analysis*, vol. 16, no. 2--3, 2008, pg. 157--184, DOI, Online copy1, Online copy2. - [Gold:2008:POD] Bonnie Gold and Roger A. Simons, ed.,
*Proof and Other Dilemmas: Mathematics and Philosophy*, Mathematical Association of America, Washington, DC, USA, 2008, pg. xxxii + 346. - [Guillera:2008:EPS] Jesus Guillera, "Easy proofs of some Borwein algorithms for $ \pi $,"
*American Mathematical Monthly*, vol. 115, no. 9, Nov., 2008, pg. 850--854, Online copy1. - [IEEE:2008:HIS] IEEE, ed.,
*HPCS 2006: [20th International Symposium on High-Performance Computing in an Advanced Collaborative Environment]; 20th anniversary of HPCS; hosted by ACEnet at Memorial University of Newfoundland, [St. John's], May 14th--17th 2006; [co-hosted with OSCAR 2006]*, IEEE Computer Society Press, 1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA, 2008, pg. 284. - [Lorentzen:2008:CDR] Lisa Lorentzen, "Convergence and divergence of the Ramanujan AGM fraction,"
*The Ramanujan Journal*, vol. 16, no. 1, May, 2008, pg. 83--95, DOI. - [Xiao:2008:SBB] Yunhai Xiao and Qingjie Hu, "Subspace Barzilai--Borwein gradient method for large-scale bound constrained optimization,"
*Applied Mathematics and Optimization*, vol. 58, no. 2, 2008, pg. 275--290, DOI. - [Bailey:2009:EMCa] David H. Bailey and Jonathan M. Borwein, "Experimental mathematics and computational statistics,"
*Wiley Interdisciplinary Reviews: Computational Statistics*, vol. 1, no. 1, 2009, pg. 12--24, DOI, Online copy1. - [Bailey:2009:EMCb] D. H. Bailey and J. M. Borwein, "Experimental Mathematics and Computational Statistics,"
*Online Encyclopedia of Computational Statistics. A Wiley Interdisciplinary Review*, Wiley, New York, NY, USA, Jul., 2009, Online copy1, Online copy2, Online copy3. - [Bailey:2009:HPH] David Bailey and Jonathan Borwein, "Highly parallel, high precision integration,"
*International Journal of Computational Science and Engineering*, vol. 4, 2009, Online copy1. - [Bailey:2009:PAD] David H. Bailey and Jonathan M. Borwein, "PSLQ: an Algorithm to Discover to Integer Relations,"
*Computeralgebra Rundbrief*, vol. 45, Oct., 2009, pg. 8--11, Online copy1. - [Bailey:2009:RQR] D. H. Bailey and J. M. Borwein and R. E. Crandall, "Resolution of the Quinn--Rand--Strogatz Constant of Nonlinear Physics,"
*Experimental Mathematics*, vol. 18, no. 1, 2009, pg. 107--116, DOI, Online copy1, Online copy2. - [Bailey:2009:SMPa] David H. Bailey and Jonathan M. Borwein, "Solution to Monthly Problem #11418," Report, Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University and School of Mathematical and Physical Sciences, University of Newcastle, Jul., 2009, Online copy1.
- [Bailey:2009:SMPb] David H. Bailey and Jonathan M. Borwein, "Solutions to Monthly Problems 11456 and 11457," Report, Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University, Oct., 2009, Online copy1.
- [Borwein:2009:CCE] Jonathan M. Borwein, "The Computer as Crucible: The End of Theory?," Nov., 2009, Second Annual Rubinov Memorial Lecture, University of Ballarat, VIC, Australia.
- [Borwein:2009:CCI] Jonathan M. Borwein and Keith J. Devlin,
*The computer as crucible: an introduction to experimental mathematics*, A. K. Peters, Ltd., Wellesley, MA, USA, 2009, pg. xi + 158. - [Borwein:2009:CSS] Jonathan M. Borwein, "Compressed Sensing: A Subgradient Descent Algorithm for Missing Data Problems," Nov., 2009, CARMA Colloquium, Newcastle, NSW, Australia.
- [Borwein:2009:DAD] J. M. Borwein, "Digitally-assisted discovery and proof," 2009, in Lin:2009:PPM, pg. I.3--I.11, Online copy1.
- [Borwein:2009:DAMa] Jonathan M. Borwein, "Digitally-assisted mathematical discovery and proof," May, 2009, CARMA Colloquium, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2009:DAMb] Jonathan M. Borwein, "Digitally-assisted mathematical discovery and proof," May, 2009, Plenary address, ICMI Study 19.
- [Borwein:2009:DAMc] Jonathan M. Borwein, "Digitally-assisted mathematical discovery and proof," May, 2009, Responses to Plenary address, ICMI Study 19.
- [Borwein:2009:DCF] Jonathan Borwein and Jon Vanderwerff, "Differentiability of conjugate functions and perturbed minimization principles,"
*Journal of Convex Analysis*, vol. 16, no. 3--4, 2009, pg. 707--711, Online copy1, Online copy2. - [Borwein:2009:EBS] Jonathan M. Borwein and Neil J. Calkin and Dante Manna, "Euler--Boole summation revisited,"
*American Mathematical Monthly*, vol. 116, no. 5, 2009, pg. 387--412, DOI. - [Borwein:2009:EECa] Jonathan M. Borwein, "Exploratory Experimentation and Computation," Sep., 2009, Colloquium, Mathematics Dept, University of Victoria, BC, Canada., Online copy1.
- [Borwein:2009:EECb] Jonathan M. Borwein, "Exploratory Experimentation and Computation," Sep., 2009, Plenary lecture Fields--IRMACS Workshop on Discovery and Experiment in Number Theory, Simon Fraser University, Burnaby, BC, Canada and Toronto, ON, Canada, September 22--26., Online copy1.
- [Borwein:2009:FVA] Jonathan M. Borwein, "The future of variational analysis," Dec., 2009, Keynote Lecture, Special session on Convex and nonlinear analysis, CMS Winter Meeting, Windsor, ON, Canada, Dec. 5--7.
- [Borwein:2009:FYMa] Jonathan M. Borwein, "Fifty Years of Maximal Monotonicity," Sep., 2009, Plenary lecture for Optimization Theory and Methods Special Session, 53rd Annual Australian Mathematical Society Meetings, University of South Australia, Adelaide SA 5001, Australia, Sept 28-Oct 1., Online copy1.
- [Borwein:2009:FYMb] Jonathan M. Borwein, "Fifty Years of Maximal Monotonicity," Oct., 2009, Session on Functional Analysis, University of Newcastle, Official Opening and Workshop Oct 30-Nov 1, Online copy1.
- [Borwein:2009:HIW] Jonathan M. Borwein, "Hilbert Inequalities and Witten Zeta Functions," Aug., 2009, AMSI-SIGopt Seminar. Delivered to RMIT and USA from Newcastle, NSW, Australia.
- [Borwein:2009:HMS] Jonathan M. Borwein, "How to maximize surprise," Jun., 2009, AMSI-SIGopt Seminar. Delivered to RMIT and USA from Newcastle, NSW, Australia.
- [Borwein:2009:HPH] Jonathan M. Borwein and D. H. Bailey, "High Precision, High Dimension Integration," Feb., 2009, Third International Workshop on High Dimensional Approximation, University of New South Wales, Sydney, Australia, February 16--20. Awarded most-entertaining presentation prize.
- [Borwein:2009:IC] Jonathan M. Borwein, "Introduction to CARMA," Aug., 2009, Presentation to students from Dungog High School in CARMA.
- [Borwein:2009:ICM] Jonathan M. Borwein, "Innovation and Creativity or Managing a Research Portfolio?," Nov., 2009, Keynote Address, Annual Research Day, University of Ballarat, Ballarat, VIC, Australia.
- [Borwein:2009:IMC] Jonathan M. Borwein, "International Mathematics in the 21st Century," Jun., 2009, Minisymposium in honour of Phil Broadbridge's retirement as Director of AMSI, University of Melbourne, Melbourne, VIC, Australia, June 15.
- [Borwein:2009:IRA] Jonathan M. Borwein, "Integer Relation Algorithms, I," Nov., 2009, CARMA Number Theory Seminar.
- [Borwein:2009:IRM] Jonathan M. Borwein, "Integer Relation Methods: an Introduction," Jul., 2009, Special Session on Scientific Computation, First Pacific Rim Conference on Mathematics and Applications (PRIMA), University of New South Wales, Sydney, NSW, Australia, July 6--10, 2009.
- [Borwein:2009:ISC] Jonathan M. Borwein, "Inverse Symbolic Computation: Symbols from Numbers," Sep., 2009, Education Afternoon, 53rd Annual Australian Mathematical Society Meetings, University of South Australia, Adelaide SA 5001, Australia, Sept 28-Oct 1.
- [Borwein:2009:MEP] Jonathan M. Borwein, "Maximum Entropy and Projection Methods for Inverse Problems," Feb., 2009, CARMA Colloquium, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2009:MME] Jonathan M. Borwein, "Maths Matters: Exploratory experimentation: digitally-assisted discovery and proof,"
*Australian Mathematical Society Gazette*, vol. 36, no. 3, Jul., 2009, pg. 166--175. - [Borwein:2009:NCM] Jonathan Borwein and Rafal Goebel, "On the nondifferentiability of cone-monotone functions in Banach spaces,"
*Optimization*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2009, pg. 3--14, DOI. - [Borwein:2009:PCM] Jonathan M. Borwein, "The Princeton companion to mathematics. Timothy Gowers, with June Barrow Green and Imre Leader. Princeton University Press, Princeton, NJ, 2008. $99.00. xxii + 1034 pp., hardcover. ISBN 978-0-691-1 1880-2. [book review of refcno 2467561],"
*SIAM Review*, vol. 51, no. 4, Dec., 2009, pg. 790--794, DOI, Online copy1, Online copy2. - [Borwein:2009:PRCa] Jonathan M. Borwein, "Prospects for Remote Collaboration," Apr., 2009, IRMACS Retreat on Remote Collaboration, April 24--25, Simon Fraser University, Burnaby, BC, Canada. Delivered from Newcastle, NSW, Australia.
- [Borwein:2009:PRCb] Jonathan M. Borwein, "Prospects for Remote Collaboration," Apr., 2009, First AMSI-SIGopt Seminar. Delivered to RMIT and USA from Newcastle, NSW, Australia.
- [Borwein:2009:SCC] Jonathan M. Borwein and Warren B. Moors, "Stability of closedness of convex cones under linear mappings,"
*Journal of Convex Analysis*, vol. 16, no. 3--4, 2009, pg. 699--705, Online copy1, Online copy2. - [Borwein:2009:SDC] Jonathan M. Borwein, "The SIAM 100 Digits Challenge: a Story of Modern Numerical Analysis," May, 2009, CARMA Colloquium, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2009:SFC] Jonathan M. Borwein and Chris H. Hamilton, "Symbolic Fenchel conjugation,"
*Mathematical Programming*, vol. 116, no. 1--2, 2009, pg. 17--35, DOI, Online copy1. - [Borwein:2009:TLVa] Jonathan M. Borwein, "Ten Lectures on Variational Approaches to Minimization Problems: Motivation and Overview," Jun., 2009, IMA 2009 Summer Program for Graduate Students on The Mathematics of Inverse Problems, University of Delaware, Newark, DE, USA.
- [Borwein:2009:TLVb] Jonathan M. Borwein, "Ten Lectures on Variational Approaches to Minimization Problems: Convex Duality and Applications," Jun., 2009, IMA 2009 Summer Program for Graduate Students on The Mathematics of Inverse Problems, University of Delaware, Newark, DE, USA.
- [Borwein:2009:TLVc] Jonathan M. Borwein, "Ten Lectures on Variational Approaches to Minimization Problems: Variational Principles and Applications," Jul., 2009, IMA 2009 Summer Program for Graduate Students on The Mathematics of Inverse Problems, University of Delaware, Newark, DE, USA.
- [Borwein:2009:TLVd] Jonathan M. Borwein, "Ten Lectures on Variational Approaches to Minimization Problems: Monotone and Nonexpansive Maps: algorithms and convergence," Jul., 2009, IMA 2009 Summer Program for Graduate Students on The Mathematics of Inverse Problems, University of Delaware, Newark, DE, USA.
- [Borwein:2009:TLVe] Jonathan M. Borwein, "Ten Lectures on Variational Approaches to Minimization Problems: Algebraic Reconstruction Methods and Interactive Geometry (and a final lecture on Surprise)," Jul., 2009, IMA 2009 Summer Program for Graduate Students on The Mathematics of Inverse Problems, University of Delaware, Newark, DE, USA.
- [Borwein:2009:UBC] Jonathan M. Borwein and O-Yeat Chan, "Uniform bounds for the complementary incomplete gamma function,"
*Mathematical Inequalities & Applications*, vol. 12, no. 1, 2009, pg. 115--121, DOI, Online copy1. - [Borwein:2009:UCF] J. Borwein and A. J. Guirao and P. Hajek and J. Vanderwerff, "Uniformly convex functions on Banach spaces,"
*Proceedings of the American Mathematical Society*, vol. 137, no. 3, 2009, pg. 1081--1091, DOI, Online copy1. - [Borwein:2009:WC] Jonathan M. Borwein, "Why Convex?," Dec., 2009, Plenary Lecture, CMS Winter Meeting, Windsor, ON, Canada, December 5--7.
- [Han:2009:APB] Lixing Han and Michael Neumann and Upendra Prasad, "Alternating projected Barzilai--Borwein methods for nonnegative matrix factorization,"
*Electronic Transactions on Numerical Analysis*, vol. 36, 2009/10, pg. 54--82, Online copy1. - [Han:2009:MBB] Le Han and Gao Hang Yu and Lu Tai Guan, "Multivariate Barzilai--Borwein method and its application in elastic registration of medical image,"
*Acta Scientiarum Naturalium Universitatis Sunyatseni. Zhongshan Daxue Xuebao. Ziran Kexue Ban*, vol. 48, no. 3, 2009, pg. 8--12, 21. - [Hong:2009:NBC] Shao Fang Hong and Wei Cao, "Notes on the Borwein--Choi conjecture of Littlewood cyclotomic polynomials,"
*Acta Math. Sin. (Engl. Ser.)*, vol. 25, no. 1, 2009, pg. 65--76, DOI. - [Jackson:2009:JER] Allyn Jackson, "John Ewing retires from the AMS,"
*Notices of the American Mathematical Society*, vol. 56, no. 1, Jan., 2009, pg. 48--51. - [LaCruz:2009:EBB] William La Cruz, "Extension of the Barzilai--Borwein method for quadratic forms in finite Euclidean spaces,"
*Numerical Functional Analysis and Optimization*, vol. 30, no. 3--4, 2009, pg. 306--321, DOI. - [Lin:2009:PPM] Fou-lai Lin, ed.,
*Proof and Proving in Mathematics Education: ICMI Study 19 Conference Proceedings = shu xue zheng ming yu lun zheng de jiao yu xue*, Department of Mathematics, National Taiwan Normal University, Taipei, Taiwan, 2009. - [Lord:2009:BRE] Nick Lord, "Book Review: Experimental Mathematics in Action,"
*Mathematical Gazette*, vol. 93, no. 528, Nov., 2009, pg. 564--566, Online copy1. - [Narushima:2009:EBB] Yasushi Narushima and Takahiko Wakamatsu and Hiroshi Yabe, "Extended Barzilai--Borwein method for minimizing a strictly convex quadratic function,"
*Nonlinear analysis and convex analysis*, Yokohama Publ., Yokohama, 2009, pg. 141--150. - [Rajkovic:2009:GBC] Predrag M. Rajkovic and Marko D. Petkovic, "Generalized Borwein conjecture and partitions of natural numbers,"
*Funct. Anal. Approx. Comput.*, vol. 1, no. 2, 2009, pg. 47--56. - [Adegoke:2010:HDI] Kunle Adegoke and Olawanle Layeni, "The higher derivatives of the inverse tangent function and rapidly convergent BBP-type formulas for pi,"
*Appl. Math. E-Notes*, vol. 10, 2010, pg. 70--75. - [Adegoke:2010:NBT] Kunle Adegoke, "New binary and ternary digit extraction (BBP-type) formulas for trilogarithm constants,"
*New York J. Math.*, vol. 16, 2010, pg. 361--367, Online copy1. - [Bacak:2010:DCF] M. Bacak and J. Borwein and B. Sims, "Differentiability of convex functions in CAT(0) spaces.," Aug., 2010, Preprint.
- [Bacak:2010:ICL] Miroslav Bacak and Jonathan M. Borwein and Andrew Eberhard and Boris S. Mordukhovich, "Infimal convolutions and Lipschitzian properties of subdifferentials for prox-regular functions in Hilbert spaces,"
*Journal of Convex Analysis*, vol. 17, no. 3--4, 2010, pg. 737--763, Online copy1, Online copy2. - [Bailey:2010:ATB] D. H. Bailey and J. M. Borwein and R. E. Crandall, "Advances in the theory of box integrals,"
*Mathematics of Computation*, vol. 79, no. 271, Jul., 2010, pg. 1839--1866, DOI, Online copy1, Online copy2. - [Bailey:2010:ECO] David H. Bailey and Jonathan M. Borwein, "Experimental computation with oscillatory integrals,"
*Gems in experimental mathematics*, American Mathematical Society, Providence, RI, USA, 2010, pg. 25--40, DOI, Online copy1. - [Bailey:2010:EMMa] David H. Bailey and Jonathan M. Borwein and David J. Broadhurst and Wadim Zudilin, "Experimental Mathematics and Mathematical Physics,"
*ArXiv e-prints*, May, 2010, Online copy1, Online copy2. - [Bailey:2010:EMMb] David H. Bailey and Jonathan M. Borwein and David Broadhurst and Wadim Zudilin, "Experimental mathematics and mathematical physics,"
*Gems in experimental mathematics*, American Mathematical Society, Providence, RI, USA, 2010, pg. 41--58, DOI, Online copy1. - [Bailey:2010:SMP] David H. Bailey and Jonathan M. Borwein, "Solution to Monthly Problem 11515," Report, Lawrence Berkeley National Laboratory and School of Mathematical and Physical Sciences, University of Newcastle, Jun., 2010, Online copy1.
- [Bankov:2010:BRC] Kiril Bankov, "Book Review: Communicating mathematics in the digital era, by J. M. Borwein, E. M. Rocha, and J. F. Rodrigues. Pp. 325. $49.00 (Hardback), 2008. ISBN 978-1-56881-410-0 (A K Peters, Ltd.),"
*Mathematical Gazette*, vol. 94, no. 531, Nov., 2010, pg. 557--559, DOI, Online copy1. - [Bauschke:2010:BWD] Heinz H. Bauschke and Xianfu Wang and Liangjin Yao, "On Borwein--Wiersma decompositions of monotone linear relations,"
*SIAM Journal on Optimization*, vol. 20, no. 5, 2010, pg. 2636--2652, DOI. - [Borwein:2010:APAa] Jonathan M. Borwein, "Alternating Projection Algorithms in Hilbert Space, I," Apr., 2010, CARMA Analysis and Optimization Seminar, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2010:APAb] Jonathan M. Borwein, "Alternating Projection Algorithms in Hilbert Space, II," Apr., 2010, CARMA Analysis and Optimization Seminar, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2010:ASR] Jonathan M. Borwein, "The arithmetic of 3 and 4 step random walks," Jul., 2010, Keynote Lecture, AMSI-CARMA Workshop on Exploratory Experimentation and Computation Theory, CARMA, July 7--9.
- [Borwein:2010:CFC] Jonathan M. Borwein and Jon D. Vanderwerff,
*Convex functions: constructions, characterizations and counterexamples*, Cambridge University Press, Cambridge, UK, 2010, pg. x + 521. - [Borwein:2010:CFWa] Jonathan M. Borwein, "Closed forms: what they are and why they matter," Sep., 2010, Part I, CARMA Number Theory seminar., Online copy1.
- [Borwein:2010:CFWb] Jonathan M. Borwein, "Closed forms: what they are and why they matter," Sep., 2010, Part II, CARMA Number Theory seminar., Online copy1.
- [Borwein:2010:CSS] Jonathan M. Borwein, "Compressed Sensing: a Subgradient Approach," Sep., 2010, Special session on Optimization, 54th Australian Math Society Meetings, September 27--30, 2010.
- [Borwein:2010:DRA] Jonathan M. Borwein and Brailey Sims, "Douglas--Rachford algorithm in the absence of convexity," Centre for Computer-assisted Research Mathematics and its Applications (CARMA), School of Mathematical and Physical Sciences, University of Newcastle, May, 2010, Online copy1.
- [Borwein:2010:DRIa] Jonathan M. Borwein and Brailey Sims, "Douglas--Rachford iterations in the absence of convexity," Jan., 2010, CARMA Colloquium., Online copy1.
- [Borwein:2010:DRIb] Jonathan M. Borwein and Brailey Sims, "Douglas--Rachford iterations in the absence of convexity," Feb., 2010, ANZIAM-SigmaOpt Session, Queenstown, New Zealand, February 1--4., Online copy1.
- [Borwein:2010:DRIc] Jonathan M. Borwein, "Douglas--Rachford iterations in the absence of convexity," Jun., 2010, Clemson Research Experience for Undergraduates, presented from Newcastle, NSW, Australia.
- [Borwein:2010:DRId] Jonathan M. Borwein, "Douglas--Rachford iterations in the absence of convexity," Oct., 2010, Keynote Lecture, AMSI-CARMA Workshop on Applied Functional Analysis, CARMA, October 2--4.
- [Borwein:2010:DTM] Jonathan M. Borwein and O-Yeat Chan, "Duality in tails of multiple-zeta values,"
*International Journal of Number Theory*, vol. 6, no. 3, 2010, pg. 501--514, DOI, Online copy1. - [Borwein:2010:ECM] Jonathan Borwein and Peter B. Borwein,
*Experimental and computational mathematics: selected writings*, Perfectly Scientific Press, Portland, OR, USA, 2010, pg. viii + 297. - [Borwein:2010:EECa] Jonathan M. Borwein, "Exploratory Experimentation and Computation," Mar., 2010, First Plenary Lecture, 2010 German Math Society Meetings (joint with Mathematical Education), Munich, Germany, March 8--12., Online copy1.
- [Borwein:2010:EECb] Jonathan M. Borwein, "Exploratory Experimentation and Computation," Apr., 2010, Mathematics Department Colloquium, University of Adelaide, Adelaide, SA, Australia., Online copy1.
- [Borwein:2010:ENE] Jonathan M. Borwein and Scott Sciffer, "An explicit non-expansive function whose subdifferential is the entire dual ball,"
*Nonlinear analysis and optimization II. Optimization*, American Mathematical Society, Providence, RI, USA, 2010, pg. 99--103, DOI, Online copy1. - [Borwein:2010:EPM] Jonathan M. Borwein, "Entropy and Projection Methods for Convex and Nonconvex Inverse Problems," Mar., 2010, Prepared for Univ of South Australia Distinguished Lecture (54 slides)., Online copy1.
- [Borwein:2010:FCV] Jonathan M. Borwein, "Future challenges for variational analysis,"
*Variational analysis and generalized differentiation in optimization and control*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2010, pg. 95--107, DOI, Online copy1. - [Borwein:2010:FLF] Jonathan M. Borwein and Jon Vanderwerff, "Frechet--Legendre functions and reflexive Banach spaces,"
*Journal of Convex Analysis*, vol. 17, no. 3--4, 2010, pg. 915--924, Online copy1. - [Borwein:2010:FPC] Jonathan M. Borwein, "Fractal postcards and coke cans," Sep., 2010, Presentation to West Wallsend High School students in CARMA.
- [Borwein:2010:FYM] Jonathan M. Borwein, "Fifty years of maximal monotonicity,"
*Optimization Letters*, vol. 4, no. 4, 2010, pg. 473--490, DOI, Online copy1. - [Borwein:2010:GV] Jonathan M. Borwein, "32 Goldbach Variations," Mar., 2010, CARMA Colloquium and Number Theory and Analysis Seminar, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2010:HDB] Jonathan M. Borwein and O-Yeat Chan and R. E. Crandall, "Higher-Dimensional Box Integrals,"
*Experimental Mathematics*, vol. 19, no. 4, 2010, pg. 431--446, DOI, Online copy1, Online copy2. - [Borwein:2010:HPC] Jonathan M. Borwein, "High precision computation in mathematical physics and dynamics," Jun., 2010, AMSI-SIGopt Seminar. Delivered to Australian National University, UWA, RMIT and USA from Newcastle, NSW, Australia.
- [Borwein:2010:IC] Jonathan M. Borwein, "An introduction to CARMA," Jun., 2010, University of Newcastle 2010 Teachers' Visit Day, presented inside CARMA.
- [Borwein:2010:ICF] Jonathan M. Borwein and Michael Rose, "Introduction to CARMA and fractals," Oct., 2010, BOOST + on campus high school visit to University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2010:IRA] Jonathan M. Borwein, "Integer Relation Algorithms, II," Jan., 2010, CARMA Number Theory Seminar.
- [Borwein:2010:LP] Jonathan M. Borwein, "Life of Pi," Sep., 2010, Public Lecture, 54th Australian Math Society Meetings, September 27--30, 2010.
- [Borwein:2010:LPT] Jonathan M. Borwein, "Life of Pi: a Talk for Pi Day," Mar., 2010, Newcastle Undergraduate Mathematics Club, Newcastle, NSW, Australia.
- [Borwein:2010:MEPa] J. M. Borwein, "Mathematics by Experiment: Plausible Reasoning in the 21st Century,"
*ICME10 Proceedings, July 2010*, 2010, Online copy1. - [Borwein:2010:MEPb] Jonathan M. Borwein, "Maximum Entropy and Projection Methods for Inverse Problems," Mar., 2010, Distinguished Lecture Series, Mathematics Dept, University of South Australia, Adelaide SA 5001, Australia.
- [Borwein:2010:MEPc] Jonathan M. Borwein, "Maximum Entropy and Projection Methods for Inverse Problems," Aug., 2010, Plenary Lecture, Second South Pacific Conference on Mathematics, University of New Caledonia, Noumea 98851, New Caledonia.
- [Borwein:2010:MRGa] Jonathan M. Borwein, "Moments of Ramanujan's Generalized Elliptic Integrals and Extensions of Catalan's Constant," Aug., 2010, CARMA Colloquium, University of Newcastle, NSW, Australia., Online copy1.
- [Borwein:2010:MZV] Jonathan M. Borwein, "Multiple Zeta Values," Mar., 2010, CARMA Number Theory and Analysis Seminar, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2010:NSF] David Borwein and Jonathan M. Borwein and Isaac E. Leonard, "$ L_p $ norms and the sinc function,"
*American Mathematical Monthly*, vol. 117, no. 6, 2010, pg. 528--539, DOI. - [Borwein:2010:RACa] Jonathan M. Borwein, "Ramanujan's AG continued fraction, I: the real case," Nov., 2010, CARMA Colloquium.
- [Borwein:2010:RACb] Jonathan M. Borwein, "Ramanujan's AG continued fraction, II: the complex case," Nov., 2010, CARMA Number Theory Seminar.
- [Borwein:2010:RWP] Jonathan M. Borwein and Dirk Nuyens and Armin Straub and James Wan, "Random walks in the plane,"
*22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)*, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, France, 2010, pg. 191--202. - [Borwein:2010:RWR] Jonathan M. Borwein, "Random Walks and Ramble Integrals," Apr., 2010, Analysis Seminar, University of Adelaide, Adelaide, SA, Australia.
- [Borwein:2010:SCC] Jonathan M. Borwein and Warren B. Moors, "Stability of closedness of convex cones under linear mappings II,"
*Journal of Nonlinear Analysis and Optimization: Theory & Applications*, vol. 1, no. 1, 2010, pg. 1--7, Online copy1, Online copy2. - [Borwein:2010:SWR] Jonathan M. Borwein, "Short Walks and Ramble Integrals: The Arithmetic of Uniform Random Walks," Sep., 2010, Plenary Lecture, 54th Australian Math Society Meetings, September 27--30, 2010.
- [Borwein:2010:TTG] Jonathan M. Borwein, "Thirty Two Goldbach Variations," Oct., 2010, CARMA Workshop on Multi-zeta Values, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2010:TTT] Jonathan M. Borwein, "Talking to Telstra: Two weeks spent with Australia's largest Telco," Sep., 2010, Response to Australian Communications and Media Authority (ACMA) enquiry, Reconnecting the Customer, Sept 27, 2010.
- [Borwein:2010:U] Jonathan M. Borwein, "[untitled]," Mar., 2010, General interview on Newcastle Drive, ABC Radio Newcastle, NSW, Australia.
- [Borwein:2010:WC] Jonathan M. Borwein, "Why Convex?," Mar., 2010, Colloquium, Universitat der Bundeswehr Munchen, Germany.
- [Cvijovic:2010:PBB] Djurdje Cvijovic, "Proof of the Borwein--Broadhurst conjecture for a dilogarithmic integral arising in quantum field theory,"
*arxiv.org*, Oct., 2010, Online copy1. - [Narushima:2010:EBB] Yasushi Narushima and Takahiko Wakamatsu and Hiroshi Yabe, "Extended Barzilai--Borwein method for unconstrained minimization problems,"
*Pac. J. Optim.*, vol. 6, no. 3, 2010, pg. 591--613. - [Zhang:2010:NFB] Yan Zhang and Wenyu Sun and Liqun Qi, "A nonmonotone filter Barzilai--Borwein method for optimization,"
*Asia-Pac. J. Oper. Res.*, vol. 27, no. 1, 2010, pg. 55--69, DOI. - [Zhao:2010:CBB] Jianqiang Zhao, "On a conjecture of Borwein, Bradley and Broadhurst,"
*Journal fur die reine und angewandte Mathematik*, vol. 639, 2010, pg. 223--233, DOI. - [Adegoke:2011:SRB] Kunle Adegoke, "Symbolic routes to BBP-type formulas of any degree in arbitrary bases,"
*Appl. Math. Inf. Sci.*, vol. 5, no. 2, 2011, pg. 264--275. - [Bacak:2011:DCL] Miroslav Bacak and Jonathan M. Borwein, "On difference convexity of locally Lipschitz functions,"
*Optimization*, vol. 60, no. 8--9, 2011, pg. 961--978, DOI, Online copy1. - [Bailey:2011:CPI] David H. Bailey and Jonathan M. Borwein and Andrew Mattingly and Glenn Wightwick, "The Computation of Previously Inaccessible Digits of $ \pi^2 $ and Catalan's Constant," Report, Lawrence Berkeley National Laboratory; Centre for Computer Assisted Research Mathematics and its Applications (CARMA), University of Newcastle; IBM Australia, Apr., 2011, Online copy1.
- [Bailey:2011:DDW] David Bailey and Jonathan Borwein, "Danger of death: are we programmed to miscalculate risk?,"
*The Conversation*, Dec., 2011, Online copy1. - [Bailey:2011:EAN] David H. Bailey and Jonathan M. Borwein and Cristian S. Calude and Michael J. Dinneen and Monica Dumitrescu and Alex Yee, "An Empirical Approach to the Normality of $ \pi $," Report, Centre for Discrete Mathematics and Theoretical Computer Science, University of Auckland, CDMTCS-413, Nov., 2011, Online copy1, Online copy2.
- [Bailey:2011:EEC] David H. Bailey and Jonathan M. Borwein, "Exploratory experimentation and computation,"
*Notices of the American Mathematical Society*, vol. 58, no. 10, Oct., 2011, pg. 1410--1419, Online copy1. - [Bailey:2011:GMD] David H. Bailey and Jonathan M. Borwein, "The Greatest Mathematical Discovery?," Report, Lawrence Berkeley National Laboratory and Centre for Computer Assisted RMA, University of Newcastle, May, 2011, Online copy1.
- [Bailey:2011:HFE] David Bailey and Jonathan Borwein, "How far away is everybody? Climbing the cosmic ladder,"
*The Conversation*, Oct., 2011, Online copy1. - [Bailey:2011:HPN] D. H. Bailey and J. M. Borwein, "High-precision numerical integration: Progress and challenges,"
*Journal of Symbolic Computation*, vol. 46, no. 7, Jul., 2011, pg. 741--754, DOI, Online copy1, Online copy2. - [Bailey:2011:MNC] David Bailey and Jonathan Borwein, "Magic numbers: counting the blessings of decimal notation,"
*The Conversation*, Aug., 2011, Online copy1. - [Bailey:2011:WED] David Bailey and Jonathan Borwein, "Where is everybody? Doing the maths on extraterrestrial life,"
*The Conversation*, Sep., 2011, Online copy1. - [Bailey:2011:WTD] David Bailey and Jonathan Borwein, "When things don't add up: statistics, maths and scientific fraud,"
*The Conversation*, Nov., 2011, Online copy1. - [Bauschke:2011:BBT] H. H. Bauschke and J. M. Borwein and X. Wang and L. Yao, "The Brezis--Browder Theorem in a general Banach space,"
*ArXiv e-prints*, Oct., 2011, Online copy1. - [Bauschke:2011:CPM] H. H. Bauschke and J. M. Borwein and X. Wang and L. Yao, "Construction of pathological maximally monotone operators on non-reflexive Banach spaces,"
*ArXiv e-prints*, Aug., 2011, Online copy1, Online copy2. - [Bauschke:2011:EMM] H. H. Bauschke and J. M. Borwein and X. Wang and L. Yao, "Every maximally monotone operator of Fitzpatrick--Phelps type is actually of dense type,"
*ArXiv e-prints*, Apr., 2011, Online copy1, Online copy2. - [Bauschke:2011:FPA] Heinz H. Bauschke and Regina S. Burachik and Patrick Louis Combettes and Veit Elser and D. Russell Luke and Henry Wolkowicz, ed.,
*Fixed-point algorithms for inverse problems in science and engineering*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2011, pg. xi + 402. - [Bauschke:2011:MML] Heinz H. Bauschke and Jonathan M. and Xianfu Wang and Liangjin Yao, "For maximally monotone linear relations, dense type, negative-infimum type, and Fitzpatrick--Phelps type all coincide with monotonicity of the adjoint,"
*ArXiv e-prints*, Mar., 2011, pg. 15, Online copy1, Online copy2. - [Bauschke:2011:MOB] H. H. Bauschke and J. M. Borwein and X. Wang and L. Yao, "Monotone operators and ``bigger conjugate'' functions,"
*ArXiv e-prints*, Aug., 2011, Online copy1, Online copy2. - [Bingham:2011:HKB] N. H. Bingham and A. J. Ostaszewski, "Homotopy and the Kestelman--Borwein--Ditor theorem,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 54, no. 1, 2011, pg. 12--20, DOI. - [Borwein:2011:ATR] Jonathan M. Borwein, "Actually: Teaching and Researching at the Tertiary Level with Collaboration Tools," Nov., 2011, CARMA Colloquium.
- [Borwein:2011:BND] Jonathan M. Borwein, "BBP numbers and digit-extraction algorithms," May, 2011, CARMA Seminar.
- [Borwein:2011:CBF] Jonathan M. Borwein and Simeon Reich and Shoham Sabach, "A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept,"
*Journal of Nonlinear and Convex Analysis*, vol. 12, no. 1, 2011, pg. 161--184, Online copy1. - [Borwein:2011:CCN] J. M. Borwein, "Chiropractic: crackers now, and crackers way back when,"
*The Conversation*, Dec., 2011, Online copy1. - [Borwein:2011:CM] Jonathan M. Borwein, "CARMA and Me," May, 2011, New Fellows Seminar, Australian Academy of Science, Shine Dome, Canberra, ACT, Australia.
- [Borwein:2011:CMIa] Jonathan M. Borwein, "CARMA and Me: An Introduction," Apr., 2011, CDSC-CARMA-CISRA (Canon Information Systems Research Australia) afternoon, CARMA.
- [Borwein:2011:CMIb] Jonathan M. Borwein, "CARMA and Me: An Introduction," Jul., 2011, First CARMA Retreat, Shortland Wetland.
- [Borwein:2011:CMWa] Jonathan M. Borwein, "CARMA and Me: or Why am I in Oz?," May, 2011, JonFest 2011, IRMACS, Simon Fraser University, Burnaby, BC, Canada, 16--20 May.
- [Borwein:2011:CMWb] Jonathan M. Borwein, "CARMA and Me: or Why am I in Oz?," Jun., 2011, Two presentations to 2011 Teachers' Visit Day, University of Newcastle, NSW, Australia. July 8.
- [Borwein:2011:CSS] Jonathan M. Borwein, "Compressed Sensing: a Subgradient Approach," Feb., 2011, Special Session on Optimization, ANZIAM 2011.
- [Borwein:2011:DCF] Jonathan M. Borwein, "Difference Convex Functions," Jan., 2011, Workshop on Continuous Optimization, University of South Australia, Adelaide SA 5001, Australia.
- [Borwein:2011:DRA] Jonathan M. Borwein and Brailey Sims, "The Douglas--Rachford Algorithm in the Absence of Convexity," Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2011, in Bauschke:2011:FPA, pg. 93--109, DOI, Online copy1.
- [Borwein:2011:DRIa] Jonathan M. Borwein, "Douglas--Rachford iterations in the absence of convexity," Jan., 2011, AMS Special Session on Douglas--Rachford Methods, Combined Membership Meetings, New Orleans, LA, USA.
- [Borwein:2011:DRIb] Jonathan M. Borwein, "Douglas--Rachford iterations in the absence of convexity," Oct., 2011, Plenary Lecture (given from Newcastle), 13th Midwest Optimization Meeting and Workshop on Large Scale Optimization and Applications, Fields Institute, Toronto, ON M5T 3J1, Canada, October 14--15.
- [Borwein:2011:DSU] Jonathan M. Borwein and A. Straub and J. Wan and Wadim Zudilin, "Densities of short uniform random walks,"
*ArXiv e-prints*, Mar., 2011, Online copy1, Online copy2. - [Borwein:2011:EEC] Jonathan M. Borwein, "Exploratory Experimentation and Computation," Jan., 2011, AMS Special Session in Logic and Analysis, Combined Membership Meetings, New Orleans, LA, USA., Online copy1.
- [Borwein:2011:EMB] Jonathan Borwein and Keith Devlin,
*Experimentelle Mathematik: Eine beispielorientierte Einfuhrung. (German) [Experimental mathematics: an example-oriented introduction]*, Spektrum Akademischer Verlag, Heidelberg, Germany, 2011, pg. xii + 158. - [Borwein:2011:ERF] Jonathan M. Borwein and D. Russell Luke, "Entropic Regularization of the $ \ell_0 $ Function,"
*Fixed-point algorithms for inverse problems in science and engineering*, 2011, in Bauschke:2011:FPA, pg. 65--92, DOI, Online copy1, Online copy2. - [Borwein:2011:FG] Jonathan M. Borwein, "Fractal Geometry," Feb., 2011, Presentation to Year 7 students form Wallsend with Michael Rose to the NSW MEGS program (Making Educational Goals Sustainable).
- [Borwein:2011:IAP] Jonathan M. Borwein, "The infinite appeal of Pi,"
*ABC Science*, Mar., 2011, Online copy1. - [Borwein:2011:IBC] Jonathan Borwein, "If I had a blank cheque I'd ... turn IBM Watson into a maths genius,"
*The Conversation*, Jul., 2011, Online copy1. - [Borwein:2011:IFS] Jonathan Michael Borwein, "it Implicit functions and solution mappings [book review of refcno 2515104],"
*IEEE Control Systems Magazine*, vol. 31, no. 1, 2011, pg. 74--77, DOI. - [Borwein:2011:IMM] Jonathan M. Borwein and Matthew P. Skerritt,
*An introduction to modern mathematical computing: with Maple*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2011, pg. xvi + 216. - [Borwein:2011:LEW] J. M. Borwein, "Letter to the Editor: Why are mathematics papers so dull?,"
*SIAM News*, vol. 44, no. 6, Jul., 2011, pg. 7--7, Online copy1. - [Borwein:2011:LHM] Jonathan M. Borwein and Judy-Anne Osborn, "Loving and hating mathematics, by Reuben Hersh and Vera John-Steiner. Princeton and Oxford: Princeton University Press, 2010, 428 pp., US$29.95. ISBN-10: 0-691-14247-5, ISBN-13: 978-0-691-14247-0 [book review of refcno 2731560],"
*The Mathematical Intelligencer*, vol. 33, no. 4, Dec., 2011, pg. 63--69, DOI, Online copy1. - [Borwein:2011:LP] Jonathan M. Borwein, "Life of Pi," Jan., 2011, Graduate Colloquium, Mathematics Dept, University of Florida, Gainesville, FL, USA.
- [Borwein:2011:LPHa] Jonathan M. Borwein, "Life of Pi: History and Computation --- a Talk for Pi Day," Mar., 2011, University of Technology Sydney, NSW, Australia.
- [Borwein:2011:LPHb] Jonathan M. Borwein, "Life of Pi: History and Computation --- a Talk for Pi Day," Mar., 2011, Interviews with ABC Sydney, Goldcoast and Tasmaniaslash Victoria, Australia.
- [Borwein:2011:LPHc] Jonathan M. Borwein, "Life of Pi: History and Computation --- a Talk for Pi Day," Mar., 2011, AMSI AGR Talk for PiDay in America.
- [Borwein:2011:LSEa] J. M. Borwein and A. Straub, "Log-sine evaluations of Mahler measures,"
*ArXiv e-prints*, Mar., 2011, Online copy1. - [Borwein:2011:LSEb] D. Borwein and J. M. Borwein and A. Straub and J. Wan, "Log-sine evaluations of Mahler measures, II,"
*ArXiv e-prints*, Mar., 2011, Online copy1, Online copy2. - [Borwein:2011:MCA] Jonathan M. Borwein, "Meetings with Computer Algebra and Special Functions: A Ramanujan Style Talk," Nov., 2011, Plenary Lecture at JonFest Down Under, CARMA--AMSI Workshop, Nov 29--Dec 1, Newcastle, NSW, Australia.
- [Borwein:2011:MHM] Jonathan M. Borwein and Wadim Zudilin, "Math Honours: Multiple Zeta Values," Classroom notes, Centre for Computer Assisted RMA, University of Newcastle, Oct., 2011, Online copy1.
- [Borwein:2011:MMS] Jonathan Borwein, "Mahler Measures, Short Walks and Log-sine Integrals: A Case Study in Hybrid Computation,"
*Proceedings of the 2011 International Workshop on Symbolic--Numeric Computation*, ACM Press, New York, NY 10036, USA, 2011, pg. 1--1, DOI, Online copy1. - [Borwein:2011:MMU] Jonathan M. Borwein, "Mysteries of the Mathematical Universe," Jun., 2011, World Science Festival Panel, New York. Panel shared with Devlin, de Sautoy, Singh.
- [Borwein:2011:MOE] J. M. Borwein and R. Burachik and L. Yao, "Monotone Operators without Enlargements,"
*ArXiv e-prints*, Oct., 2011, Online copy1, Online copy2, Online copy3. - [Borwein:2011:MOT] Jonathan M. Borwein and Andrew Eberhard and Liangjin Yao, "Monotone operators of type FPV," Aug., 2011, Preprint.
- [Borwein:2011:MRGa] David Borwein and Jonathan M. Borwein and M. Larry Glasser and James G. Wan, "Moments of Ramanujan's generalized elliptic integrals and extensions of Catalan's constant,"
*Journal of Mathematical Analysis and Applications*, vol. 384, no. 2, 2011, pg. 478--496, DOI, Online copy1, Online copy2. - [Borwein:2011:MRGb] Jonathan M. Borwein, "Moments of Ramanujan's Generalized Elliptic Integrals and Extensions of Catalan's Constant," Jan., 2011, Number Theory Seminar, Mathematics Dept, University of Florida., Online copy1.
- [Borwein:2011:MWIa] Jonathan M. Borwein, "Measures, Walks and Integrals: a Study in Hybrid Computation," Jun., 2011, First Plenary Lecture, Numeric-Symbolic Computation (2011 FCCAR Meetings), San Jose, CA, USA.
- [Borwein:2011:MWIb] Jonathan M. Borwein, "Measures, Walks and Integrals: a Study in Hybrid Computation," Sep., 2011, Keynote Lecture, AustMS Special Session on Computational Mathematics (presented by James Wang) 2011 AustMS Meetings, Wollongong, NSW, Australia, Sept 26--29.
- [Borwein:2011:PDNa] Jonathan Borwein, "Are Pi's Days Numbered?,"
*The Conversation*, May, 2011, Online copy1. - [Borwein:2011:PDNb] Jonathan M. Borwein, "Are Pi's days numbered?," Jul., 2011, Interview with ABC Goldcoast, Australia.
- [Borwein:2011:PSE] D. Borwein and Jonathan M. Borwein, "Proof of some experimentally conjectured formulas for $ \pi $," Preprint, Department of Mathematics, University of Western Ontario and Centre for Computer-assisted Research Mathematics and its Applications (CARMA), School of Mathematical and Physical Sciences, University of Newcastle, Dec., 2011.
- [Borwein:2011:RAC] Jonathan M. Borwein, "Ramanujan's AG continued fraction.," Jan., 2011, Colloquium, Mathematics Dept, University of Florida, Gainesville, FL, USA.
- [Borwein:2011:SAP] Jonathan M. Borwein and Dirk Nuyens and Armin Straub and James Wan, "Some arithmetic properties of short random walk integrals,"
*The Ramanujan Journal*, vol. 26, no. 1, 2011, pg. 109--132, DOI, Online copy1. - [Borwein:2011:SS] Jonathan M. Borwein, "A Sinc that Sank," Sep., 2011, CARMA Analysis Seminar, Newcastle, NSW, Australia., Online copy1.
- [Borwein:2011:SVGa] Jonathan M. Borwein and Armin Straub, "Special Values of Generalized Log-sine Integrals,"
*ArXiv e-prints*, Mar., 2011, Online copy1, Online copy2. - [Borwein:2011:SVGb] Jonathan M. Borwein and Armin Straub, "Special Values of Generalized Log-sine Integrals,"
*Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation*, ACM Press, New York, NY 10036, USA, 2011, pg. 43--50, DOI, Online copy1, Online copy2. - [Borwein:2011:SWMa] Jonathan M. Borwein, "Short Walks, Mahler Measures and Logsine Integrals, I," Mar., 2011, CARMA Seminar.
- [Borwein:2011:SWMb] Jonathan M. Borwein, "Short Walks, Mahler Measures and Logsine Integrals, II," Mar., 2011, CARMA Seminar.
- [Borwein:2011:SWR] Jonathan M. Borwein, "Short Walks and Ramble Integrals: The Arithmetic of Uniform Random Walks," Jan., 2011, AMS Special Session on Special Functions, Combined Membership Meetings, New Orleans, LA, USA.
- [Borwein:2011:TRT] Jonathan M. Borwein, "Teaching and Researching at the Tertiary Level with Collaboration Tools," Sep., 2011, Plenary Lecture, ALTC Workshop, 2011 AustMS Meetings, Wollongong, NSW, Australia, Sept 29--30.
- [Borwein:2011:WMP] J. M. Borwein, "Why are mathematics papers so dull?,"
*SIAM News*, vol. 44, no. 6, Jul., 2011, pg. 7--7, Online copy1, Online copy2. - [Li:2011:FSM] Xiangli Li and Hongwei Liu and Xiaojun Sun, "Feasible smooth method based on Barzilai--Borwein method for stochastic linear complementarity problem,"
*Numerical Algorithms*, vol. 57, no. 2, 2011, pg. 207--215, DOI. - [Musev:2011:QJB] Boil Musev and Nadezhda Ribarska, "On a question of J. Borwein and H. Wiersma,"
*Proceedings of the American Mathematical Society*, vol. 139, no. 5, 2011, pg. 1707--1716, DOI. - [Odlyzko:2011:BRE] Andrew Odlyzko, "Book Review: Experimental Mathematics in Action, by D. H. Bailey, J. M. Borwein, N. J. Calkin, R. Girgensohn, D. R. Luke, and V. H. Moll. A K Peters, Wellesley, MA, 2007. xii + 322 pp., ISBN 978-1-56881-271-7. $65,"
*American Mathematical Monthly*, vol. 118, no. 10, Dec., 2011, pg. 946--951, DOI, Online copy1. - [Pilehrood:2011:ABB] Kh. Hessami Pilehrood and T. Hessami Pilehrood, "A $q$-analogue of the Bailey--Borwein--Bradley identity,"
*Journal of Symbolic Computation*, vol. 46, no. 6, 2011, pg. 699--711, DOI, Online copy1. - [Xie:2011:SSC] Zhipeng Xie and Songcan Chen, "SCIHTBB: Sparsity constrained iterative hard thresholding with Barzilai--Borwein step size,"
*Neurocomputing*, vol. 74, no. 17, 2011, pg. 3663--3676, DOI, Online copy1. - [Adegoke:2012:NAD] Kunle Adegoke, "A novel approach to the discovery of binary BBP-type formulas for polylogarithm constants,"
*Integers*, vol. 12, no. 3, 2012, pg. 345--371, DOI. - [Alladi:2012:PRA] Krishnaswami Alladi and George E. Andrews and Jonathan M. Borwein, "Preface to Ramanujan's 125th anniversary special issue,"
*The Ramanujan Journal*, vol. 29, no. 1--3, Dec., 2012, pg. 1--2, DOI, Online copy1. - [Amdeberhan:2012:FEC] Tewodros Amdeberhan and David Borwein and Jonathan M. Borwein and Armin Straub, "On formulas for $ \pi $ experimentally conjectured by Jauregui--Tsallis,"
*Journal of Mathematical Physics*, vol. 53, no. 7, Jul., 2012, pg. 073708, DOI, Online copy1, Online copy2. - [AragonArtacho:2012:GCN] F. J. Aragon Artacho and J. M. Borwein, "Global convergence of a non-convex Douglas--Rachford iteration,"
*ArXiv e-prints*, Mar., 2012, Online copy1, Online copy2. - [Bailey:2012:AEC] David H. Bailey and Jonathan M. Borwein, "Algebra is essential in a 21st century economy,"
*Huffington Post*, Aug., 2012, Online copy1. - [Bailey:2012:AIS] David H. Bailey and Jonathan M. Borwein, "Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics,"
*American Mathematical Monthly*, vol. 119, no. 8, Oct., 2012, pg. 646--657, DOI, Online copy1, Online copy2. - [Bailey:2012:BCC] David H. Bailey and Jonathan M. Borwein, "Is Believing in Climate Change ``An Insult to God''?,"
*Huffington Post*, Dec., 2012, Online copy1. - [Bailey:2012:BNM] David Bailey and Jonathan Borwein, "Bad numbers make for killer headlines -- and dodgy news,"
*The Conversation*, Jun., 2012, Online copy1. - [Bailey:2012:CPG] David A. Bailey and Jonathan M. Borwein, "Are computers playing games with us?,"
*Huffington Post*, Apr., 2012. - [Bailey:2012:DDW] David Bailey and Jonathan Borwein, "Doctor, doctor: why so few scientists in politics?,"
*The Conversation*, Feb., 2012, Online copy1. - [Bailey:2012:EAN] David H. Bailey and Jonathan M. Borwein and Cristian S. Calude and Michael J. Dinneen and Monica Dumitrescu and Alex Yee, "An Empirical Approach to the Normality of $ \pi $,"
*Experimental Mathematics*, vol. 21, no. 4, 2012, pg. 375--384, DOI, Online copy1. - [Bailey:2012:EEC] David H. Bailey and Jonathan M. Borwein, "Exploration, Experimentation and Computation,"
*International Advances in Mathematics*, vol. 31, no. 1, Jan., 2012, pg. 1--14, Online copy1. - [Bailey:2012:EEM] David H. Bailey and Jonathan M. Borwein,
*Exploratory experimentation in mathematics: selected works*, Perfectly Scientific Press, Portland, OR, USA, 2012, pg. 364. - [Bailey:2012:HBU] David Bailey and Jonathan Borwein, "Hot and bothered: the uncertain mathematics of global warming,"
*The Conversation*, Feb., 2012, Online copy1. - [Bailey:2012:HHC] David H. Bailey and Jonathan M. Borwein, "Hand-to-hand combat with thousand-digit integrals,"
*Journal of Computational Science*, vol. 3, no. 3, 2012, pg. 77--86, DOI, Online copy1, Online copy2. - [Bailey:2012:HOE] David Bailey and Jonathan Borwein, "How old is Earth? A word to sceptics on the dating game,"
*The Conversation*, Mar., 2012, Online copy1. - [Bailey:2012:HPC] David H. Bailey and Roberto Barrio and Jonathan M. Borwein, "High-precision computation: Mathematical physics and dynamics,"
*Applied Mathematics and Computation*, vol. 218, no. 20, Jun., 2012, pg. 10106--10121, DOI, Online copy1, Online copy2. - [Bailey:2012:HSG] David Bailey and Jonathan Borwein, "How to sell green energy in an era of abundant gas and oil,"
*The Conversation*, Jun., 2012, Online copy1. - [Bailey:2012:HSM] David Bailey and Jonathan Borwein, "How to stop the media reporting science fiction as fact,"
*The Conversation*, Oct., 2012, Online copy1. - [Bailey:2012:JCD] David Bailey and Jonathan Borwein, "Just out of Curiosity, did life on Earth come from Mars?,"
*The Conversation*, Dec., 2012, Online copy1. - [Bailey:2012:MLF] David Bailey and Jonathan Borwein, "Moore's Law and the future of science and mathematics,"
*Math Drudge: Two mathematicians contemplate the cosmos*, Jan., 2012, Online copy1. - [Bailey:2012:MMD] David Bailey and Jonathan Borwein, "Make mine a double: Moore's Law and the future of mathematics,"
*The Conversation*, Jan., 2012, Online copy1. - [Bailey:2012:MPI] David H. Bailey and Jonathan Borwein, "Mathematicianslash physicistslash inventor Richard Crandall dies at 64," Dec., 2012, Online copy1.
- [Bailey:2012:MSF] David H. Bailey and Jonathan M. Borwein, "Is modern science `forever tentative' and `socially constructed?' No Way!,"
*Huffington Post*, Jun., 2012, Online copy1. - [Bailey:2012:NCM] David Bailey and Jonathan Borwein, "Newly calculated: maths anxiety triggers pain in the brain,"
*The Conversation*, Nov., 2012, Online copy1. - [Bailey:2012:ND] David H. Bailey and Jonathan M. Borwein and Cristian S. Calude and Michael J. Dinneen and Monica Dumitrescu and Alex Yee, "Normality and the Digits of $ \pi $,"
*Exploratory Experimentation in Mathematics: Selected Works*, David H. Bailey and Jonathan M. Borwein, ed., Perfectly Scientific Press, Portland, OR, USA, Feb., 2012, Online copy1. - [Bailey:2012:NNU] David H. Bailey and Jonathan M. Borwein, "Numerical nonsense in the U.S. presidential campaign,"
*Huffington Post*, Aug., 2012, Online copy1. - [Bailey:2012:NP] D. H. Bailey and J. M. Borwein and C. S. Calude and M. J. Dinneen and M. Dumitrescu and A. Yee, "Normality and pi," Feb., 2012, Preprint., Online copy1.
- [Bailey:2012:NSC] David H. Bailey and Jonathan M. Borwein, "Nonnormality of Stoneham constants,"
*The Ramanujan Journal*, vol. 29, no. 1--3, 2012, pg. 409--422, DOI, Online copy1. - [Bailey:2012:PCC] David Bailey and Jonathan Borwein, "Person or computer: could you pass the Turing Test?,"
*The Conversation*, May, 2012, Online copy1. - [Bailey:2012:SMA] David Bailey and Jonathan Borwein, "Smart meters are about as dangerous as ...,"
*The Conversation*, Oct., 2012, Online copy1. - [Bailey:2012:SMF] David Bailey and Jonathan Borwein, "School maths is failing children --- a US and Australian perspective,"
*The Conversation*, Jul., 2012, Online copy1. - [Bailey:2012:SMP] David H. Bailey and Jonathan M. Borwein, "Solution to Monthly Problem 11650," Report, Lawrence Berkeley National Laboratory and Centre for Computer Assisted Research Mathematics and its Applications (CARMA), University of Newcastle and King Abdulaziz University, Jun., 2012, Online copy1.
- [Bailey:2012:SOA] David A. Bailey and Jonathan M. Borwein, "2001: A Space Odyssey: Art versus 2012 reality,"
*Huffington Post*, May, 2012, Online copy1. - [Bailey:2012:WEW] David H. Bailey and Jonathan M. Borwein, "What on earth were they thinking? U.S. politicians on the age of the planet,"
*Huffington Post*, Dec., 2012, Online copy1. - [Bailey:2012:YMA] David Bailey and Jonathan Borwein, "Is your mate actually a computer? Would you pass the ``Turing test''?," Apr., 2012, Online copy1.
- [Bauschke:2012:BBT] Heinz H. Bauschke and Jonathan M. Borwein and Xianfu Wang and Liangjin Yao, "The Brezis--Browder theorem in a general Banach space,"
*Journal of Functional Analysis*, vol. 262, no. 12, 2012, pg. 4948--4971, DOI, Online copy1. - [Bauschke:2012:CPM] Heinz H. Bauschke and Jonathan M. Borwein and Xianfu Wang and Liangjin Yao, "Construction of pathological maximally monotone operators on non-reflexive Banach spaces,"
*Set-Valued and Variational Analysis*, vol. 20, no. 3, 2012, pg. 387--415, DOI, Online copy1, Online copy2. - [Bauschke:2012:EMM] Heinz H. Bauschke and Jonathan M. Borwein and Xianfu Wang and Liangjin Yao, "Every maximally monotone operator of Fitzpatrick--Phelps type is actually of dense type,"
*Optimization Letters*, vol. 6, no. 8, 2012, pg. 1875--1881, DOI, Online copy1, Online copy2. - [Borwein:2012:AAS] Jonathan M. Borwein, "Arithmetic aspects of short random walks," May, 2012, Experimental mathematics seminar, University of Melbourne, Melbourne, VIC, Australia.
- [Borwein:2012:CMa] Jonathan M. Borwein, "CARMA and me: 2012," Aug., 2012, Annual CARMA Retreat, Fort Scratchley Newcastle, NSW, Australia.
- [Borwein:2012:CMb] Jonathan M. Borwein, "CARMA and me: 2012," Oct., 2012, APEC-ITB Workshop, Bandung Indonesia, given from Newcastle, NSW, Australia.
- [Borwein:2012:CTMa] Jonathan M. Borwein, "Computation and Theory of Mordell--Witten--Tornheim sums. Part I Theory," May, 2012, CARMA Analysis seminar, Newcastle, NSW, Australia.
- [Borwein:2012:CTMb] Jonathan M. Borwein, "Computation and Theory of Mordell--Witten--Tornheim sums. Part II Computation," May, 2012, CARMA Analysis seminar, Newcastle, NSW, Australia. 9. May 14.
- [Borwein:2012:CUC] Jonathan M. Borwein and Jon Vanderwerff, "Constructions of Uniformly Convex Functions,"
*Canadian mathematical bulletin = Bulletin canadien de mathematiques*, vol. 55, no. 4, Dec., 2012, pg. 697--707, DOI, Online copy1. - [Borwein:2012:CZD] J. M. Borwein and R. S. Burachik and L. Yao, "Conditions for zero duality gap in convex programming,"
*ArXiv e-prints*, Nov., 2012, Online copy1, Online copy2. - [Borwein:2012:DSU] Jonathan M. Borwein and Armin Straub and James Wan and Wadim Zudilin, "Densities of short uniform random walks,"
*Canadian Journal of Mathematics = Journal canadien de mathematiques*, vol. 64, no. 5, 2012, pg. 961--990, DOI, Online copy1, Online copy2. - [Borwein:2012:EED] J. M. Borwein, "Exploratory Experimentation: Digitally-assisted Discovery and Proof," 2012, in Hanna:2012:PPM, DOI, Online copy1, Online copy2.
- [Borwein:2012:EEM] Jonathan M. Borwein, "Exploratory Experimentation in Mathematics," Dec., 2012, ICERM Workshop on Reproducibility in Computational and Experimental Mathematics, ICERM, Providence, RI, USA, December 10--14.
- [Borwein:2012:EFSa] Jonathan M. Borwein, "Expectations over fractal sets," Aug., 2012, Applied Mathematics Seminar, University of New South Wales, Sydney, NSW, Australia.
- [Borwein:2012:EFSb] Jonathan M. Borwein, "Expectations over fractal sets," Aug., 2012, SigmaOPT Colloquium, CARMA.
- [Borwein:2012:EWC] Jonathan Borwein and Michael Rose, "Explainer: what is Chaos Theory?,"
*The Conversation*, Nov., 2012, Online copy1. - [Borwein:2012:FE] Jonathan M. Borwein, "Fractals everywhere," Sep., 2012, Presentation to West Wallsend High School students in CARMA.
- [Borwein:2012:FM] Jonathan M. Borwein, "The Future of Maths," Nov., 2012, Interview with ABC Radio National Future tense (Sunday 11.30)., Online copy1.
- [Borwein:2012:FYMa] Jonathan M. Borwein, "Fifty years of maximal monotonicity: recent results on maximal monotone operators," May, 2012, Conference Presentation to the Workshop on Infinite Products of Operators and Their Applications, Technion, Haifa, May 21--24.
- [Borwein:2012:FYMb] Jonathan M. Borwein, "Fifty years of maximal monotonicity: recent results on maximal monotone operators," Sep., 2012, Keynote presentation to special session on Variational Analysis 56th AustMS Meetings, Ballarat, VIC, Australia, Sept 23--27.
- [Borwein:2012:IIC] Jonathan M. Borwein, "Interdisciplinarity, Innovation, Collaboration and Creativity or How to Manage a Research Portfolio," Sep., 2012, CARMA Colloquium.
- [Borwein:2012:IMM] Jonathan M. Borwein and Matthew P. Skerritt,
*An introduction to modern mathematical computing: with Mathematicareg*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2012. - [Borwein:2012:LPA] Jonathan M. Borwein, "The Life of Pi: From Archimedes to ENIAC and Beyond," Report, Centre for Computer Assisted Research Mathematics and its Applications (CARMA), University of Newcastle, Jun., 2012, Prepared for Berggren Festschrift. Updated and revised version of iteBorwein:2008:VPG., Online copy1.
- [Borwein:2012:LSEa] Jonathan M. Borwein and Armin Straub, "Log-sine evaluations of Mahler measures,"
*Journal of the Australian Mathematical Society*, vol. 92, no. 1, 2012, pg. 15--36, DOI, Online copy1, Online copy2. - [Borwein:2012:LSEb] David Borwein and Jonathan M. Borwein and Armin Straub and James Wan, "Log-sine evaluations of Mahler measures, II,"
*Integers*, vol. 12, no. 6, 2012, pg. 1179--1212, DOI, Online copy1, Online copy2. - [Borwein:2012:LTI] J. M. Borwein and L. Yao, "Legendre-type integrands and convex integral functions,"
*ArXiv e-prints*, Aug., 2012, Online copy1, Online copy2. - [Borwein:2012:MEF] Jonathan M. Borwein, "Maximum entropy and feasibility methods for convex and nonconvex inverse problems,"
*Optimization*, vol. 61, no. 1, 2012, pg. 1--33, DOI, Online copy1. - [Borwein:2012:MEP] Jonathan M. Borwein, "Maximum Entropy and Projection Methods for Inverse Problems," May, 2012, Technion Mathematics Colloquium and Conference Presentation to the Workshop on Infinite Products of Operators and Their Applications, Technion, Haifa, May 21--24.
- [Borwein:2012:MES] Jonathan M. Borwein, "My experiences with special functions," May, 2012, Colloquium, University of Melbourne, Melbourne, VIC, Australia.
- [Borwein:2012:MM] Jonathan M. Borwein, "Music and Mathematics," Oct., 2012, Concert including a visualisation and sonification of a random walk through Pi with Jon Drummond and Fran Aragon. Harold Lobb Concert Hall, Newcastle, NSW, Australia.
- [Borwein:2012:MMO] Jonathan M. Borwein and Liangjin Yao, "Maximally monotone operators of negative infimum type are of dense type: the proof revisited," Jun., 2012, Preprint.
- [Borwein:2012:MSM] J. M. Borwein and L. Yao, "Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator,"
*ArXiv e-prints*, Dec., 2012, Online copy1, Online copy2. - [Borwein:2012:MTW] Jonathan M. Borwein, "Mordell--Tornheim--Witten Sums and Log Gamma Integrals," Sep., 2012, Special session on Number Theory 56th AustMS Meetings, Ballarat, VIC, Australia, Sept 23--27.
- [Borwein:2012:OMT] Jonathan Borwein and Veselin Jungic, "Organic Mathematics: then and now,"
*Notices of the American Mathematical Society*, vol. 59, no. 3, Mar., 2012, pg. 416--419, Online copy1, Online copy2. - [Borwein:2012:PDAa] Jonathan M. Borwein, "Pi Day in America,"
*Huffington Post*, Mar., 2012, Online copy1. - [Borwein:2012:PDAb] Jonathan M. Borwein, "Pi Day in America," Mar., 2012, Conference in Honour of Alf van der Poorten, CARMA, Newcastle, NSW, Australia.
- [Borwein:2012:PDI] Jonathan M. Borwein, "Pi Day Interview," Mar., 2012, ABC Radio Queensland, Australia.
- [Borwein:2012:RCS] Jonathan Borwein and Peter B. Borwein and Veselin Jungic, "Remote Collaboration: Six Years of the Coast-To-Coast Seminar Series,"
*Science Communication*, vol. 34, no. 3, Jun., 2012, pg. 419--428, DOI, Online copy1, Online copy2. - [Borwein:2012:REA] Jonathan M. Borwein and Judy-anne Osborn, "Response to ``Experimental Approaches to Theoretical Thinking ...''," 2012, in Hanna:2012:PPM.
- [Borwein:2012:RPMa] J. M. Borwein and L. Yao, "Recent progress on Monotone Operator Theory,"
*ArXiv e-prints*, Oct., 2012, Online copy1, Online copy2. - [Borwein:2012:RPMb] Jonathan M. Borwein, "Recent Progress on Maximal Monotonicity," Jan., 2012, ANZIAM 2012, Warrnambool, VIC, Australia.
- [Borwein:2012:RPS] Jonathan M. Borwein, "Ramanujan and Pi: Srinivasa Ramanujan: Going strong at 125,"
*Notices of the American Mathematical Society*, vol. 59, no. 11, Nov., 2012, pg. 534--537, Online copy1. - [Borwein:2012:SM] Jonathan M. Borwein, "Smart Meters," Nov., 2012, Interview with ABC Radio Canberra, ACT, Australia.
- [Borwein:2012:SRC] J. M. Borwein and L. Yao, "Some results on the convexity of the closure of the domain of a maximally monotone operator,"
*ArXiv e-prints*, May, 2012, Online copy1, Online copy2. - [Borwein:2012:SS] David Borwein and Jonathan M. Borwein and Armin Straub, "A sinc that sank,"
*American Mathematical Monthly*, vol. 119, no. 7, 2012, pg. 535--549, DOI, Online copy1. - [Borwein:2012:STMa] J. M. Borwein and L. Yao, "Structure theory for maximally monotone operators with points of continuity,"
*ArXiv e-prints*, Mar., 2012, Online copy1, Online copy2. - [Borwein:2012:STMb] Jonathan M. Borwein, "Seeing things in Mathematics," Nov., 2012, CARMA Workshop on Effective Visualisation in the Mathematical Sciences (eViMS).
- [Borwein:2012:TMP] Jonathan M. Borwein, "Talking to, with and for the media and the public," Aug., 2012, CARMA-MAPS Outreach afternoon.
- [Borwein:2012:U] Jonathan M. Borwein, "[untitled]," Aug., 2012, Interview with Ginger Gorman at 666 ABC Canberra, ACT, Australia on Pi Walk.
- [Borwein:2012:USTa] Jonathan M. Borwein, "The Use of Selection Theorems in Optimization. Part I Theory," Mar., 2012, CARMAslash SigmaOPT seminar, Newcastle, NSW, Australia.
- [Borwein:2012:USTb] Jonathan M. Borwein, "The Use of Selection Theorems in Optimization. Part II Applications," Mar., 2012, CARMAslash SigmaOPT seminar, Newcastle, NSW, Australia.
- [Borwein:2012:WMI] Jonathan M. Borwein, "Walks, Measures and Integrals," Mar., 2012, Conference in Honour of Alf van der Poorten, CARMA, Newcastle, NSW, Australia.
- [Borwein:2012:YTN] Jonathan M. Borwein and David H. Bailey, "Yes, there's a numeracy crisis --- so what's the solution?,"
*The Conversation*, Apr., 2012, Online copy1. - [Crandall:2012:GTB] Richard Crandall, "The googol-th bit of the Erdos--Borwein constant,"
*Integers*, vol. 12, no. 5, 2012, pg. 811--840, DOI. - [Hanna:2012:PPM] Gila Hanna and Michael de Villiers, ed.,
*Proof and proving in mathematics education: the 19th ICMI study*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2012, pg. xii + 475. - [Jiang:2012:BBB] Jianlin Jiang and Xiaoming Yuan, "A Barzilai--Borwein-based heuristic algorithm for locating multiple facilities with regional demand,"
*Computational optimization and applications*, vol. 51, no. 3, 2012, pg. 1275--1295, DOI. - [Miller:2012:MBD] Harry I. Miller and Leila Miller-Van Wieren, "More on the Borwein--Ditor theorem,"
*Sarajevo J. Math.*, vol. 8(21), no. 2, 2012, pg. 367--369, DOI. - [Piantadosi:2012:CME] Julia Piantadosi and Phil Howlett and Jonathan Borwein, "Copulas with maximum entropy,"
*Optimization Letters*, vol. 6, no. 1, 2012, pg. 99--125, DOI, Online copy1. - [Piantadosi:2012:MEM] Julia Piantadosi and Phil Howlett and Jonathan Borwein and John Henstridge, "Maximum entropy methods for generating simulated rainfall,"
*Numerical Algebra, Control and Optimization*, vol. 2, no. 2, 2012, pg. 233--256, DOI. - [Xia:2012:ESI] Ernest X. W. Xia and Olivia X. M. Yao, "Eisenstein series identities involving the Borweins' cubic theta functions,"
*Journal of Applied Mathematics*, vol. 2012, 2012, pg. 181264, DOI, Online copy1. - [Xiao:2012:MCG] Yunhai Xiao and Huina Song and Zhiguo Wang, "A modified conjugate gradient algorithm with cyclic Barzilai--Borwein steplength for unconstrained optimization,"
*Journal of Computational and Applied Mathematics*, vol. 236, no. 13, 2012, pg. 3101--3110, DOI, Online copy1. - [Yuan:2012:BBG] Gonglin Yuan and Zengxin Wei, "The Barzilai and Borwein gradient method with nonmonotone line search for nonsmooth convex optimization problems,"
*Math. Model. Anal.*, vol. 17, no. 2, 2012, pg. 203--216, DOI. - [Zhang:2012:BTF] Wenlong Zhang and He-Shan Song, "BBP-type formulae modulo $5$,"
*Utilitas Mathematica*, vol. 89, 2012, pg. 107--112. - [Zhou:2012:EBP] Zhi Ang Zhou, "Equivalence of the Borwein properly efficient solution and the Benson properly efficient solution of a set-valued optimization problem,"
*Math. Pract. Theory*, vol. 42, no. 1, 2012, pg. 247--250. - [Adegoke:2013:FPD] Kunle Adegoke, "Formal proofs of degree $5$ binary BBP-type formulas,"
*Functiones et Approximatio Commentarii Mathematici*, vol. 48, no. part 1, 2013, pg. 19--27, DOI. - [Adly:2013:NMS] Samir Adly and Hadia Rammal, "A new method for solving Pareto eigenvalue complementarity problems,"
*Computational optimization and applications*, vol. 55, no. 3, Jul., 2013, pg. 703--731, DOI, Online copy1. - [AragonArtacho:2013:ACA] F. J. Aragon Artacho and J. M. Borwein and V. Martin-Marquez and L. Yao, "Applications of Convex Analysis within Mathematics,"
*ArXiv e-prints*, Feb., 2013, Online copy1, Online copy2. - [AragonArtacho:2013:DRF] F. J. Aragon Artacho and J. M. Borwein and M. K. Tam, "Douglas--Rachford Feasibility Methods for Matrix Completion Problems,"
*ArXiv e-prints*, Aug., 2013, Online copy1. - [AragonArtacho:2013:GCN] Francisco J. Aragon Artacho and Jonathan M. Borwein, "Global convergence of a non-convex Douglas--Rachford iteration,"
*Journal of Global Optimization*, vol. 57, no. 3, 2013, pg. 753--769, DOI, Online copy1, Online copy2. - [AragonArtacho:2013:RRDa] F. J. Aragon Artacho and J. M. Borwein and M. K. Tam, "Recent Results on Douglas--Rachford Methods for Combinatorial Optimization Problems,"
*ArXiv e-prints*, May, 2013, Online copy1, Online copy2. - [AragonArtacho:2013:RRDb] Francisco J. Aragon Artacho and Jonathan M. Borwein and Matthew K. Tam, "Recent results on Douglas--Rachford methods,"
*Serdica. Mathematical Journal. Serdika. Matematichesko Spisanie*, vol. 39, no. 3--4, 2013, pg. 313--330, Online copy1. - [AragonArtacho:2013:WRN] Francisco J. Aragon Artacho and David H. Bailey and Jonathan M. Borwein and Peter B. Borwein, "Walking on Real Numbers,"
*The Mathematical Intelligencer*, vol. 35, no. 1, Mar., 2013, pg. 42--60, DOI, Online copy1, Online copy2, Online copy3, Online copy4. - [Bailey:2013:CAM] David H. Bailey and Heinz H. Bauschke and Peter Borwein and Frank Garvan and Michel Thera and Jon D. Vanderwerff and Henry Wolkowicz, ed.,
*Computational and analytical mathematics: in honor of Jonathan Borwein's 60th Birthday*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2013, pg. xv + 701. - [Bailey:2013:CLF] David H. Bailey and Jonathan M. Borwein, "The Colorful Life of the Four-Color Theorem: A Tribute to Kenneth Appel,"
*Huffington Post*, May, 2013, Online copy1. - [Bailey:2013:CLS] David H. Bailey and Jonathan M. Borwein, "Compressed lattice sums arising from the Poisson equation,"
*Boundary Value Problems*, vol. 75, no. 1, 2013, pg. 1--18, DOI, Online copy1, Online copy2, Online copy3. - [Bailey:2013:CPF] D. H. Bailey and J. M. Borwein and M. Lopez de Prado and Qiji Zhu, "Computing the Probability of Over-Fitting in the Back-Testing and Optimization of Investment Strategies," Sep., 2013, Preprint., Online copy1.
- [Bailey:2013:CPI] David H. Bailey and Jonathan M. Borwein and Andrew Mattingly and Glenn Wightwick, "The computation of previously inaccessible digits of $ \pi^2 $ and Catalan's constant,"
*Notices of the American Mathematical Society*, vol. 60, no. 7, 2013, pg. 844--854, DOI, Online copy1, Online copy2. - [Bailey:2013:DPN] David H. Bailey and Jonathan M. Borwein, "Are the digits of Pi random?,"
*Huffington Post*, Apr., 2013, Online copy1. - [Bailey:2013:DPR] David H. Bailey and Jonathan M. Borwein, "Are the Digits of Pi Random?,"
*Huffington Post*, Apr., 2013, Online copy1. - [Bailey:2013:DYS] David H. Bailey and Jonathan M. Borwein, "Danger, you're at serious risk of ... no, sorry, it's all relative,"
*The Conversation*, Feb., 2013, Online copy1. - [Bailey:2013:EFS] David H. Bailey and Jonathan M. Borwein and Richard E. Crandall and Michael G. Rose, "Expectations on fractal sets,"
*Applied Mathematics and Computation*, vol. 220, Sep., 2013, pg. 695--721, DOI, Online copy1, Online copy2. - [Bailey:2013:GGA] David H. Bailey and Jonathan M. Borwein, "Glum and glummer: Australia vs US on science literacy results,"
*The Conversation*, Jul., 2013, Online copy1. - [Bailey:2013:HHL] David H. Bailey and Jonathan M. Borwein, "A Higgs, the Higgs ... is maths at the root of reality?,"
*The Conversation*, Mar., 2013, Online copy1. - [Bailey:2013:HNH] David H. Bailey and Jonathan M. Borwein, "Hype Now, Hide Later: No Way to Do Scientific Research,"
*Huffington Post*, May, 2013, Online copy1. - [Bailey:2013:HPA] David H. Bailey and Jonathan M. Borwein, "High-Precision Arithmetic: Opportunities and Challenges," Aug., 2013, Preprint.
- [Bailey:2013:LSA] David H. Bailey and Jonathan M. Borwein and Richard E. Crandall and I. John Zucker, "Lattice sums arising from the Poisson equation,"
*Journal of Physics A: Mathematical and Theoretical*, vol. 46, no. 11, Mar., 2013, pg. 115201, DOI, Online copy1, Online copy2, Online copy3, Online copy4, Online copy5. - [Bailey:2013:NNP] David H. Bailey and Jonathan M. Borwein, "Normal numbers and pseudorandom generators," 2013, in Bailey:2013:CAM, pg. 1--18, DOI, Online copy1.
- [Bailey:2013:OSD] D. H. Bailey and J. M. Borwein and Victoria Stodden, "Opinion: Set the default to ``open'',"
*Notices of the American Mathematical Society*, vol. 60, no. 6, Jun., 2013, pg. 679--680, Online copy1. - [Bailey:2013:PDU] David H. Bailey and Jonathan M. Borwein, "Pi Day is upon us again and we still do not know if Pi is normal," Report, Lawrence Berkeley National Laboratory and Centre for Computer Assisted Research Mathematics and its Applications (CARMA), University of Newcastle, May, 2013, Online copy1.
- [Bailey:2013:PMT] David H. Bailey and Jonathan M. Borwein, "Please mess with Texas: Texas textbook fiasco threatens US science,"
*Huffington Post*, Sep., 2013, Online copy1. - [Bailey:2013:RRE] David H. Bailey and Jonathan M. Borwein, "The Reinhart--Rogoff error or how not to Excel at economics,"
*The Conversation*, Apr., 2013, Online copy1. - [Bailey:2013:SDO] David H. Bailey and Jonathan M. Borwein, "Set the default to ``open'': Reproducible science in the computer age,"
*Huffington Post*, Feb., 2013, Online copy1. - [Bailey:2013:SDRa] D. H. Bailey and J. Borwein and R. J. LeVeque and W. Rider and W. Stein and V. Stodden, "Setting the Default to Reproducible. Report on the ICERM Workshop: Reproducibility in Computational and Experimental Mathematics, December 10--14, 2012," Jan., 2013, Preprint in collaboration with the workshop participants., Online copy1.
- [Bailey:2013:SFS] David H. Bailey and Jonathan M. Borwein, "Scientific fraud, sloppy science yes, they happen,"
*The Conversation*, May, 2013, Online copy1. - [Bailey:2013:SMD] David H. Bailey and Jonathan M. Borwein, "Smart Meters, Dumb Science,"
*The Conversation*, Feb., 2013, Online copy1. - [Bailey:2013:SSF] David H. Bailey and Jonathan M. Borwein, "Stupid science funding decisions? Australia's not the only dunce,"
*The Conversation*, May, 2013, Online copy1. - [Bailey:2013:WSB] David H. Bailey and Jonathan M. Borwein, "When Skepticism Becomes Denial: The Unholy Alliance Between Science Denial Movements,"
*Huffington Post*, Nov., 2013, Online copy1. - [Bailey:2013:WWW] David H. Bailey and Jonathan M. Borwein, "Why E. O. Wilson is wrong,"
*Huffington Post*, Apr., 2013, Online copy1. - [Bailey:2013:YWF] David H. Bailey and Jonathan M. Borwein, "You wait forever for number theory results ... then two come along at once,"
*The Conversation*, Jun., 2013, Online copy1. - [Bauschke:2013:MOB] Heinz H. Bauschke and Jonathan M. Borwein and Xianfu Wang and Liangjin Yao, "Monotone operators and ``bigger conjugate'' functions,"
*Journal of Convex Analysis*, vol. 20, no. 1, 2013, pg. 143--155, Online copy1, Online copy2. - [Bean:2013:MDM] Nigel Bean, ed.,
*Modelling for decision making in ecological systems [... a session ... at the MODSIM 2011 Conference in Perth, Australia, 12--16 December 2011]*, Elsevier, Amsterdam, The Netherlands, 2013, pg. 190. - [Beliakov:2013:EIBa] Gleb Beliakov and Michael Johnstone and Doug Creighton and Tim Wilkin, "An efficient implementation of Bailey and Borwein's algorithm for parallel random number generation on graphics processing units,"
*Computing: Archiv fur informatik und numerik*, vol. 95, no. 4, 2013, pg. 309--326, DOI. - [Beliakov:2013:EIBb] G. Beliakov and D. Creighton and M. Johnstone and T. Wilkin, "Efficient implementation of Bailey and Borwein pseudo-random number generator based on normal numbers,"
*Computer Physics Communications*, vol. 184, no. 8, 2013, pg. 1999--2004, DOI, Online copy1. - [Borwein:2013:ACR] J. M. Borwein and G. Li and L. Yao, "Analysis of the convergence rate for the cyclic projection algorithm applied to basic semi-algebraic convex sets,"
*ArXiv e-prints*, Apr., 2013, Online copy1, Online copy2. - [Borwein:2013:ANF] J. M. Borwein, "Australia needs fundamental research to build a great country,"
*The Conversation*, Nov., 2013, Online copy1. - [Borwein:2013:BABa] Jonathan M. Borwein, "Best approximation in Banach Space: the Chebyshev Problem," Apr., 2013, Naresuan University, Workshop on Nonsmooth Variational Inequalities, Optimization Problems and Fixed Point Theory, April 24--26, Naresuan University, Phitsanulok, Thailand.
- [Borwein:2013:BABb] Jonathan M. Borwein, "Best approximation in Banach Space: the Chebyshev Problem," Apr., 2013, Colloquium, Department of Mathematics, Chiang Mai University, Chiang Mai, Thailand.
- [Borwein:2013:BARa] Jonathan M. Borwein, "Best Approximation in (reflexive) Banach space, I: Introduction," Mar., 2013, OANTS-AMSI seminar, CARMA.
- [Borwein:2013:BARb] Jonathan M. Borwein, "Best Approximation in (reflexive) Banach space, II: The Lau--Konjagin Theorem," Apr., 2013, OANTS-AMSI seminar, CARMA.
- [Borwein:2013:BARc] Jonathan M. Borwein, "Best Approximation in (reflexive) Banach space, III: The Chebysev Problem," Apr., 2013, OANTS-AMSI seminar, CARMA.
- [Borwein:2013:C] J. M. Borwein, "CARMA," Jul., 2013, One of a small selected number of researchers featured in an issue with a focus on ``Mathematics, Statistics, Numerical and Computational Mathematics,'' International Innovation., Online copy1.
- [Borwein:2013:CDRa] J. M. Borwein and M. K. Tam, "A Cyclic Douglas--Rachford Iteration Scheme,"
*ArXiv e-prints*, Mar., 2013, Online copy1, Online copy2. - [Borwein:2013:CDRb] J. M. Borwein and M. K. Tam, "The Cyclic Douglas--Rachford Method for Inconsistent Feasibility Problems,"
*ArXiv e-prints*, Oct., 2013, Online copy1. - [Borwein:2013:CFW] Jonathan M. Borwein and Richard E. Crandall, "Closed forms: what they are and why we care,"
*Notices of the American Mathematical Society*, vol. 60, no. 1, Jan., 2013, pg. 50--65, DOI, Online copy1, Online copy2. - [Borwein:2013:CIL] Jonathan Borwein and Christopher Maitland and Matthew Skerritt, "Computation of an improved lower bound to Giuga's primality conjecture,"
*Integers*, vol. 13, 2013, pg. Paper No. A67, 14, Online copy1. - [Borwein:2013:CLB] Jonathan M. Borwein and Matthew Skerritt and Christopher Maitland, "Computation of a lower bound to Giuga's primality conjecture,"
*Integers*, vol. 13, 2013, Online copy1. - [Borwein:2013:DLP] J. M. Borwein, "Don't let politics drive research goals,"
*Newcastle Herald*, Nov., 2013, pg. 11--11, Online copy1, Online copy2, Online copy3. - [Borwein:2013:DRM] Jonathan M. Borwein, "Douglas--Rachford methods for matrix completion problems," Oct., 2013, CARMAslash OCANA Seminar, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2013:EEMa] Jonathan M. Borwein, "Exploratory Experimentation in the Mathematical Sciences," Apr., 2013, Colloquium, Department of Economics, Chiang Mai University, Chiang Mai, Thailand.
- [Borwein:2013:EEMb] Jonathan M. Borwein, "Exploratory Experimentation in the Mathematical Sciences," Jun., 2013, National Mathematics Seminar, Bulgarian Academy of Science.
- [Borwein:2013:EMC] Jonathan M. Borwein, "Entropy Methods and Checkerboard Copulas to Simulate Rainfall," Apr., 2013, Department of Economics, Chiang Mai University, Chiang Mai, Thailand.
- [Borwein:2013:EMI] Jonathan M. Borwein, "Entropy Methods for Inverse Problems," Apr., 2013, Colloquium, Department of Economics, Chiang Mai University, Chiang Mai, Thailand.
- [Borwein:2013:EWC] Jonathan Borwein and Michael Rose, "Explainer: what is Chaos Theory," 2013, in Tressider:2013:EDV, Online copy1.
- [Borwein:2013:LP] Jonathan M. Borwein, "The Life of Pi," Sep., 2013, Maths Enrichment Session, CARMA.
- [Borwein:2013:LST] J. M. Borwein and M. L. Glasser and R. C. McPhedran and J. G. Wan and I. J. Zucker,
*Lattice Sums: Then and Now*, Cambridge University Press, Cambridge, UK, 2013, pg. xx + 368. - [Borwein:2013:LSW] D. Borwein and J. M. Borwein and A. Straub, "On lattice sums and Wigner limits,"
*ArXiv e-prints*, Oct., 2013, Online copy1, Online copy2. - [Borwein:2013:MEP] Jonathan M. Borwein, "Maximum Entropy and Projection Methods for Convex and Non-convex Inverse Problems," Dec., 2013, First Keynote Lecture, MaxEnt33, Canberra, ACT, Australia (Dec 15--20).
- [Borwein:2013:MMS] Jonathan M. Borwein and Armin Straub, "Mahler measures, short walks and log-sine integrals,"
*Theoretical Computer Science*, vol. 479, 2013, pg. 4--21, DOI, Online copy1, Online copy2. - [Borwein:2013:MOE] Jonathan M. Borwein and Regina S. Burachik and Liangjin Yao, "Monotone operators without enlargements," 2013, in Bailey:2013:CAM, pg. 79--103, DOI, Online copy1.
- [Borwein:2013:MSM] Jonathan M. Borwein and Liangjin Yao, "Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator,"
*Set-Valued and Variational Analysis*, vol. 21, no. 4, 2013, pg. 603--616, DOI, Online copy1, Online copy2. - [Borwein:2013:MSS] Jonathan M. Borwein, "Modelling and simulation of seasonal rainfall," Jul., 2013, Recent Advances in OR, RMIT AGR--University of Newcastle AGR--Adelaide, July 17., Online copy1.
- [Borwein:2013:NCR] J. M. Borwein and B. Sims and M. K. Tam, "Norm Convergence of Realistic Projection and Reflection Methods,"
*ArXiv e-prints*, Dec., 2013, Online copy1, Online copy2. - [Borwein:2013:NDR] Jonathan M. Borwein, "Nonconvex Douglas--Rachford iterations," Apr., 2013, Workshop on Nonsmooth Variational Inequalities, Optimization Problems and Fixed Point Theory, April 24--26, Naresuan University, Phitsanulok, Thailand.
- [Borwein:2013:NTR] Jonathan M. Borwein and Igor E. Shparlinski and Wadim Zudilin, ed.,
*Number theory and related fields: in memory of Alf van der Poorten*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2013, pg. x + 395, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:2013:PD] Jonathan M. Borwein, "Pi Day," Mar., 2013, Interview with ABC radio South Australia.
- [Borwein:2013:PPE] Jonathan M. Borwein, "The Pi of Planet Earth," Mar., 2013, Plenary Lecture, AMSI AGR Distinguished Lecture Series from CARMA.
- [Borwein:2013:SDR] Jonathan M. Borwein, "Set the default to `reproducible'," Jul., 2013, Session on reproducible computational science, MPE 2013, Melbourne, VIC, Australia, July 8--12.
- [Borwein:2013:SLV] Jonathan M. Borwein, "Seven lectures on variational analysis," Nov., 2013, CIMPA--Unesco--India Research School on Generalized Nash Equilibrium Problems, Delhi University, New Delhi, India (Nov 25th-Dec 6).
- [Borwein:2013:SM] Jonathan M. Borwein, "Surprise Maximization," Apr., 2013, Department of Economics, Chiang Mai University, Chiang Mai, Thailand., Online copy1.
- [Borwein:2013:STMa] J. M. Borwein and L. Yao, "Sum theorems for maximally monotone operators of type (FPV),"
*ArXiv e-prints*, May, 2013, Online copy1, Online copy2. - [Borwein:2013:STMb] Jonathan M. Borwein and Liangjin Yao, "Structure theory for maximally monotone operators with points of continuity,"
*Journal of Optimization Theory and Applications*, vol. 157, no. 1, 2013, pg. 1--24, DOI, Online copy1, Online copy2. - [Borwein:2013:STWa] Jonathan M. Borwein, "Seeing Things by Walking on Real Numbers," Jan., 2013, Fellows' Lecture, 2013 National Mathematics Summer School, Shine Dome, Canberra, ACT, Australia.
- [Borwein:2013:STWb] Jonathan M. Borwein, "Seeing Things by Walking on Real Numbers," Feb., 2013, Plenary Lecture, Third South Pacific Optimization Meeting, Newcastle, NSW, Australia.
- [Borwein:2013:STWc] Jonathan M. Borwein, "Seeing things by walking on numbers," Apr., 2013, Workshop on Nonsmooth Variational Inequalities, Optimization Problems and Fixed Point Theory, April 24--26, Naresuan University, Phitsanulok, Thailand.
- [Borwein:2013:STWd] Jonathan M. Borwein, "Seeing things by walking on numbers," Apr., 2013, Colloquium, Department of Mathematics, Chiang Mai University, Chiang Mai, Thailand.
- [Borwein:2013:STWe] Jonathan M. Borwein, "Seeing things by walking on numbers," Jun., 2013, First keynote, workshop on Topological Methods in Analysis and Optimization, Bulgarian Academy of Science, June 10--13.
- [Borwein:2013:STWf] Jonathan M. Borwein, "Seeing things by walking on numbers," Jul., 2013, National Youth Science Forum students visit to University of Newcastle, NSW, Australia, July 1--2, CARMA.
- [Borwein:2013:STWg] Jonathan M. Borwein, "Seeing things by walking on numbers," Aug., 2013, Maths Enrichment Session, CARMA.
- [Borwein:2013:STWh] Jonathan M. Borwein, "Seeing things by walking on numbers," Sep., 2013, Number Theory Session, 57th AustMS Meeting, University of Sydney, NSW, Australia.
- [Borwein:2013:STWi] Jonathan M. Borwein, "Seeing things by walking on numbers," Nov., 2013, Google's CS4HS programme, University of Newcastle, Newcastle, NSW, Australia.
- [Borwein:2013:TSF] Jonathan M. Borwein and Armin Straub and James Wan, "Three-Step and Four-Step Random Walk Integrals,"
*Experimental Mathematics*, vol. 22, no. 1, 2013, pg. 1--14, DOI, Online copy1. - [Borwein:2013:TTS] J. M. Borwein and Michael Rose, "Tipsy tottering, sunlight and the smell of coffee: its all random,"
*The Conversation*, Dec., 2013, Online copy1. - [Borwein:2013:VAPa] Jonathan M. Borwein, "Variational analysis in the presence of symmetry. Part I," Jul., 2013, OAANTS AGR Seminar.
- [Borwein:2013:VAPb] Jonathan M. Borwein, "Variational analysis in the presence of symmetry. Part II," Aug., 2013, OAANTS AGR Seminar.
- [Borwein:2013:VAPc] Jonathan M. Borwein, "Variational analysis in the presence of symmetry," Oct., 2013, Optimization of Planet Earth Session, 57th AustMS Meeting, University of Sydney, Sydney, NSW, Australia.
- [Borwein:2013:VMP] Jonathan M. Borwein and Qiji J. Zhu, "Variational methods in the presence of symmetry,"
*Advances in Nonlinear Analysis*, vol. 2, no. 3, 2013, pg. 271--307, DOI, Online copy1. - [Jiang:2013:FBB] Bo Jiang and Yu-Hong Dai, "Feasible Barzilai--Borwein-like methods for extreme symmetric eigenvalue problems,"
*Optimization Methods and Software*, vol. 28, no. 4, 2013, pg. 756--784, DOI. - [Liu:2013:MSB] Hongwei Liu and Xiangli Li, "Modified subspace Barzilai--Borwein gradient method for non-negative matrix factorization,"
*Computational optimization and applications*, vol. 55, no. 1, 2013, pg. 173--196, DOI. - [Piantadosi:2013:GSR] Julia Piantadosi and Phil Howlett and Jonathan Borwein and John Henstridge, "Generation of simulated rainfall data at different time-scales," 2013, in Bean:2013:MDM, Online copy1.
- [Piantadosi:2013:MSS] Julia Piantadosi and Phil Howlett and Jonathan Borwein, "Modelling and simulation of seasonal rainfall," Report, MODSIM/ASOR, Dec., 2013, Online copy1.
- [Pospisil:2013:OAB] Lukas Pospisil, "An optimal algorithm with Barzilai--Borwein steplength and superrelaxation for QPQC problem,"
*Programs and algorithms of numerical mathematics 16*, Acad. Sci. Czech Repub. Inst. Math., Prague, 2013, pg. 155--161. - [Stodden:2013:SDR] Victoria Stodden and Jonathan Borwein and David H. Bailey, "``Setting the Default to Reproducible'' in Computational Science Research,"
*SIAM News*, vol. 46, no. 5, Jun., 2013, pg. 4--6, Online copy1. - [Tressider:2013:EDV] Virginia Tressider,
*The explainer: from deja vu to why the sky is blue, and other conundrums*, CSIRO Publishing, Collingwood, VI, Australia, 2013, pg. xiv + 334. - [Zhang:2013:NFB] Wenlong Zhang, "New formulae of BBP-type with different moduli,"
*Journal of Mathematical Analysis and Applications*, vol. 398, no. 1, 2013, pg. 46--60, DOI. - [Adegoke:2014:GRF] Kunle Adegoke, "The Golden Ratio, Fibonacci Numbers and BBP-Type Formulas,"
*Fibonacci Quarterly*, vol. 52, no. 2, May, 2014, pg. 129--138, Online copy1. - [Adegoke:2014:NBB] Kunle Adegoke, "A New Binary BBP-Type Formula for $ \sqrt {5} \log \phi $,"
*Fibonacci Quarterly*, vol. 52, no. 4, Nov., 2014, pg. 357--359, Online copy1, Online copy2. - [AragonArtacho:2014:DRF] Francisco J. Aragon Artacho and Jonathan M. Borwein and Matthew K. Tam, "Douglas--Rachford Feasibility Methods for Matrix Completion Problems,"
*The ANZIAM Journal*, vol. 55, no. 4, Apr., 2014, pg. 299--326, DOI, Online copy1, Online copy2. - [AragonArtacho:2014:RRD] Fran Aragon Artacho and Jonathan M. Borwein and Matthew Tam, "Recent Results on Douglas--Rachford Methods for Combinatorial Optimization Problems,"
*Journal of Optimization Theory and Applications*, vol. 163, no. 1, 2014, pg. 1--30, DOI, Online copy1, Online copy2. - [Artacho:2014:ACA] Francisco J. Aragon Artacho and Jonathan M. Borwein and Victoria Martin-Marquez and Liangjin Yao, "Applications of convex analysis within mathematics,"
*Mathematical Programming*, vol. 148, no. 1--2, 2014, pg. 49--88, DOI, Online copy1, Online copy2. - [Artacho:2014:RRD] Francisco J. Aragon Artacho and Jonathan M. Borwein and Matthew K. Tam, "Recent results on Douglas--Rachford methods for combinatorial optimization problems,"
*Journal of Optimization Theory and Applications*, vol. 163, no. 1, 2014, pg. 1--30, DOI, Online copy1. - [Bailey:2014:ASL] David H. Bailey and Jonathan M. Borwein and Alexander D. Kaiser, "Automated simplification of large symbolic expressions,"
*Journal of Symbolic Computation*, vol. 60, 2014, pg. 120--136, DOI, Online copy1, Online copy2. - [Bailey:2014:CPP] David H. Bailey and Jonathan M. Borwein, "Can Pi Be Trademarked?,"
*Huffington Post*, Jun., 2014, Online copy1. - [Bailey:2014:CTE] David H. Bailey and Jonathan M. Borwein and Richard E. Crandall, "Computation and theory of extended Mordell--Tornheim--Witten sums,"
*Mathematics of Computation*, vol. 83, no. 288, 2014, pg. 1795--1821, DOI, Online copy1, Online copy2, Online copy3. - [Bailey:2014:DDD] David H. Bailey and Jonathan M. Borwein, "Dubious Digits: Is This Data Really That Accurate?,"
*Huffington Post*, Nov., 2014, Online copy1. - [Bailey:2014:FEH] David H. Bailey and Jonathan M. Borwein, "Fusion Energy: Hope or Hype?,"
*Huffington Post*, Oct., 2014, Online copy1. - [Bailey:2014:FFQ] David H. Bailey and Jonathan M. Borwein, "To frack or not to frack: That is the question,"
*Huffington Post*, Sep., 2014, Online copy1. - [Bailey:2014:HFL] David H. Bailey and Jonathan M. Borwein, "How Financially Literate Is the Investing Public?,"
*Huffington Post*, Jul., 2014, Online copy1. - [Bailey:2014:LEN] David H. Bailey and Jonathan M. Borwein, "Low Energy Nuclear Reactions: Papers and Patents,"
*Huffington Post*, Nov., 2014, Online copy1. - [Bailey:2014:OCC] David H. Bailey and Jonathan M. Borwein and Olga Caprotti and Ursula Martin and Bruno Salvy and Michela Taufer, "Opportunities and Challenges in 21st Century Mathematical Computation: ICERM Workshop Report, July 10--14, 2014," Aug., 2014, Preprint in collaboration with the workshop participants., Online copy1.
- [Bailey:2014:OCE] D. H. Bailey and J. M. Borwein, "Opportunities and Challenges in Experimental Mathematics,"
*SIAM News*, vol. 47, no. 9, 2014, pg. 4, 8, Online copy1. - [Bailey:2014:PD] David H. Bailey and Jonathan M. Borwein, "Pi day 3.14 (14),"
*Huffington Post*, Mar., 2014, Online copy1. - [Bailey:2014:PDUa] David H. Bailey and Jonathan Borwein, "Pi Day is upon us again and we still do not know if pi is normal,"
*American Mathematical Monthly*, vol. 121, no. 3, Mar., 2014, pg. 191--206, DOI, Online copy1. - [Bailey:2014:PDUb] David H. Bailey and Jonathan M. Borwein, "Pi Day is upon us again, and we still do not know if pi is normal,"
*Mathematical Advances of Translation*, vol. 33, 2014, pg. 222--235. - [Bailey:2014:PMF] David H. Bailey and Jonathan M. Borwein and Marcos Lopez de Prado and Qiji Jim Zhu, "Pseudo-mathematics and financial charlatanism: the effects of backtest overfitting on out-of-sample performance,"
*Notices of the American Mathematical Society*, vol. 61, no. 5, May, 2014, pg. 458--471, DOI, Online copy1, Online copy2. - [Bailey:2014:RTP] D. H. Bailey and J. M. Borwein, "The recent trademarking of Pi: a troubling precedent,"
*Notices of the American Mathematical Society*, vol. 61, no. 10, Nov., 2014, pg. 121--124, Online copy1, Online copy2. - [Bailey:2014:SDJ] David H. Bailey and Jonathan M. Borwein, "The significance of digits: just how reliable are reported numbers?,"
*The Conversation*, Nov., 2014, Online copy1. - [Bailey:2014:WCG] David H. Bailey and Jonathan M. Borwein, "We still can't get enough pi ... but why?,"
*The Conversation*, Mar., 2014, Online copy1. - [Bailey:2014:WMB] David H. Bailey and Jonathan M. Borwein, "Why mathematics is beautiful and why that matters,"
*Huffington Post*, Feb., 2014, Online copy1. - [Bailey:2014:WSP] David H. Bailey and Jonathan M. Borwein, "When science and philosophy collide in a `fine-tuned' universe,"
*The Conversation*, Apr., 2014. - [Borwein:2014:ACR] Jonathan M. Borwein and Guoyin Li and Liangjin Yao, "Analysis of the convergence rate for the cyclic projection algorithm applied to basic semialgebraic convex sets,"
*SIAM Journal on Optimization*, vol. 24, no. 1, 2014, pg. 498--527, DOI, Online copy1, Online copy2. - [Borwein:2014:BRB] Jonathan M. Borwein and Brailey Sims, "Book review of: A. Lo Bello, Origins of mathematical words. A comprehensive dictionary of Latin, Greek and Arabic roots,"
*Australian Mathematical Society Gazette*, vol. 41, no. 2, May, 2014, pg. 116--118, Online copy1. - [Borwein:2014:BTM] J. M. Borwein, "Budget 2014: there's more to science than medical research,"
*The Conversation*, May, 2014, Online copy1. - [Borwein:2014:CCB] Jonathan Borwein and Michael Rose, "Clearing up confusion between correlation and causation,"
*The Conversation*, Sep., 2014, Online copy1. - [Borwein:2014:CDR] Jonathan M. Borwein and Matthew K. Tam, "A cyclic Douglas--Rachford iteration scheme,"
*Journal of Optimization Theory and Applications*, vol. 160, no. 1, 2014, pg. 1--29, DOI, Online copy1, Online copy2. - [Borwein:2014:CM] Jonathan M. Borwein, "CARMA and Me," May, 2014, Opening of CRM, University of Western Sydney, NSW, Australia.
- [Borwein:2014:CPT] Jonathan M. Borwein, "Character Polylogarithms and their applications," Oct., 2014, First lecture, Number Theory Down Under II, Newcastle, October 24--25, 2014.
- [Borwein:2014:CZD] Jonathan M. Borwein and Regina S. Burachik and Liangjin Yao, "Conditions for zero duality gap in convex programming,"
*Journal of Nonlinear and Convex Analysis*, vol. 15, no. 1, 2014, pg. 167--190, Online copy1, Online copy2. - [Borwein:2014:DNS] David Borwein and Jonathan Borwein, "Deriving New Sinc Results from Old,"
*American Mathematical Monthly*, vol. 121, no. 8, Oct., 2014, pg. 700--705, DOI, Online copy1, Online copy2. - [Borwein:2014:DRMa] Jonathan M. Borwein, "Douglas--Rachford methods for matrix completion problems," Feb., 2014, ANZIAM 2014, Rotorua, New Zealand.
- [Borwein:2014:DRMb] Jonathan M. Borwein, "Douglas--Rachford methods for matrix completion problems," Apr., 2014, ANZIAM 2014, Federation University meeting in honour of Vladimir Demyanov (given from Burnaby).
- [Borwein:2014:ECC] J. M. Borwein and M. Rose, "Explainer: clearing up confusion between correlation and causation,"
*The Conversation*, Sep., 2014, Online copy1. - [Borwein:2014:ECVa] Jonathan M. Borwein, "Experimental Computation and Visual Theorems," 2014, in Hong:2014:MSI, pg. 1--8, DOI.
- [Borwein:2014:ECVb] Jonathan M. Borwein, "Exploratory Computation and Visual Theorems: The Computer as Collaborator," May, 2014, Part I, CARMA Colloquium.
- [Borwein:2014:ECVc] Jonathan M. Borwein, "Exploratory Computation and Visual Theorems: The Computer as Collaborator," May, 2014, Part II, CARMA Colloquium.
- [Borwein:2014:ECVd] Jonathan M. Borwein, "Exploratory Computation and Visual Theorems: The Computer as Collaborator," Jun., 2014, Part III, CARMA Colloquium.
- [Borwein:2014:ECVe] Jonathan M. Borwein, "Exploratory Computation and Visual Theorems: The Computer as Collaborator," Jul., 2014, First Plenary, ICERM Workshop on Challenges for 21st Century Experimental Mathematics, Brown University, Providence, RI, USA, July 21--25, 2014.
- [Borwein:2014:ECVf] Jonathan M. Borwein, "Exploratory Computation and Visual Theorems: The Computer as Collaborator," Aug., 2014, Final Keynote, Fourth International Congress on Mathematical Software (and ICM Satellite Meeting), Hanyang University, Seoul, Souh Korea August 5--8, 2014.
- [Borwein:2014:ECVg] Jonathan M. Borwein, "Exploratory Computation and Visual Theorems: The Computer as Collaborator," Nov., 2014, Plenary lecture Effective Visualisation in the Mathematical Sciences (EViMS2), Australian National University, November 21--23.
- [Borwein:2014:FFC] Jonathan M. Borwein, "The Fitzpatrick function as a convex gap function," Dec., 2014, Special session on Optimization, ANZMC8, Melbourne, VIC, Australia, December 8--12, 2014.
- [Borwein:2014:HBW] J. M. Borwein and M. Rose, "How betting works and why the Melbourne Cup skews the odds,"
*The Conversation*, Oct., 2014, Online copy1. - [Borwein:2014:LAE] Jonathan M. Borwein, "The Life of $ \pi $: From Archimedes to ENIAC and Beyond," 2014, in Sidoli:2014:ATB, pg. 531--561, DOI, Online copy1.
- [Borwein:2014:LKMa] Jonathan M. Borwein and Yann Bugeaud and Michael Coons, "The legacy of Kurt Mahler,"
*European Mathematical Society. Newsletter*, vol. 91, Mar., 2014, pg. 19--23, Online copy1. - [Borwein:2014:LKMb] Jonathan M. Borwein and Yann Bugeaud and Michael Coons, "The legacy of Kurt Mahler,"
*Australian Mathematical Society Gazette*, vol. 41, no. 1, Mar., 2014, pg. 11--21, Online copy1. - [Borwein:2014:LPA] Jonathan M. Borwein, "The Life of Pi: From Archimedes to ENIAC and Beyond," 2014, in Sidoli:2014:ATB, pg. 531--561, Online copy1.
- [Borwein:2014:LPb] Jonathan M. Borwein, "The Life of Pi," Apr., 2014, A Talk for Pi Day or other Days. Part I, History. Inaugural Mobius Lecture Series, Department of Mathematics, Baylor University, Waco, TX, USA.
- [Borwein:2014:LSW] David Borwein and Jonathan M. Borwein and Armin Straub, "On lattice sums and Wigner limits,"
*Journal of Mathematical Analysis and Applications*, vol. 414, no. 2, 2014, pg. 489--513, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:2014:LTI] Jonathan M. Borwein and Liangjin Yao, "Legendre-type integrands and convex integral functions,"
*Journal of Convex Analysis*, vol. 21, no. 1, 2014, pg. 261--288, Online copy1, Online copy2, Online copy3. - [Borwein:2014:MDS] Jonathan M. Borwein, "Moments and densities of short walks in arbitrary dimensions," Nov., 2014, Plenary lecture New Directions in Fractal Geometry, Australian National University, November 23--27.
- [Borwein:2014:MSS] Jonathan Borwein and Phil Howlett and Julia Piantadosi, "Modelling and Simulation of Seasonal Rainfall Using the Principle of Maximum Entropy,"
*Entropy*, vol. 16, no. 2, Feb., 2014, pg. 747--769, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:2014:MWF] J. M. Borwein, "Meet the winners of the Fields Medal: the `Nobel Prize of maths',"
*The Conversation*, Aug., 2014, Online copy1. - [Borwein:2014:NFI] Jonathan M. Borwein and Alfred Jacobus van der Poorten and Jeffrey Outlaw Shallit and Wadim Zudilin,
*Neverending Fractions: an Introduction to Continued Fractions*, Cambridge University Press, Cambridge, UK, 2014, pg. x + 212. - [Borwein:2014:PD] Jonathan M. Borwein, "Pi Day," Mar., 2014, Interview and call-in show with ABC radio South Australia.
- [Borwein:2014:RMIa] J. M. Borwein and M. K. Tam, "Reflection methods for inverse problems with applications to protein conformation determination,"
*CIMPA school Generalized Nash Equilibrium Problems, Bilevel programming and MPEC New Delhi, India, December 2012*, 2014, Online copy1. - [Borwein:2014:RMIb] J. M. Borwein and M. K. Tam, "Reflection methods for inverse problems with application to protein conformation determination,"
*ArXiv e-prints*, Aug., 2014, Online copy1, Online copy2. - [Borwein:2014:ROM] J. M. Borwein and Brailey Sims, "Review of Origins of Mathematical Words: A Comprehensive Dictionary of Latin, Greek and Arabic Roots by Anthony lo Bello. The John Hopkins University Press, 2013,"
*Australian Mathematical Society Gazette*, vol. 41, no. 2, May, 2014, pg. 116--118, Online copy1. - [Borwein:2014:RPSa] Jonathan M. Borwein, "Rock, Paper, Scissors," May, 2014, Interview on ABC Radio Newcastle, NSW, Australia.
- [Borwein:2014:RPSb] Jonathan M. Borwein, "Rock, Paper, Scissors," May, 2014, Interview on ABC Radio Riverena.
- [Borwein:2014:SLM] David Borwein and Jonathan M. Borwein and Brailey Sims, "On the solution of linear mean recurrences,"
*American Mathematical Monthly*, vol. 121, no. 6, Jun., 2014, pg. 486--498, DOI, Online copy1, Online copy2. - [Borwein:2014:SRC] Jonathan M. Borwein and Liangjin Yao, "Some results on the convexity of the closure of the domain of a maximally monotone operator,"
*Optimization Letters*, vol. 8, no. 1, 2014, pg. 237--246, DOI, Online copy1, Online copy2. - [Borwein:2014:STMa] Jonathan M. Borwein and Liangjin Yao, "Sum theorems for maximally monotone operators of type (FPV),"
*Journal of the Australian Mathematical Society*, vol. 97, no. 1, 2014, pg. 1--26, DOI, Online copy1, Online copy2, Online copy3. - [Borwein:2014:STMb] Jonathan M. Borwein, "Seeing things in mathematics by walking on real numbers," Apr., 2014, Workshop in honour of David Borwein's 90th birthday, IRMACS, Burnaby, BC, Canada.
- [Borwein:2014:STMc] Jonathan M. Borwein, "Seeing things in mathematics by walking on real numbers," Apr., 2014, Inaugural Mobius Lecture Series, Colloquium, Department of Mathematics, Baylor University, Waco, Texas.
- [Borwein:2014:VCP] Jonathan M. Borwein, "A very complicated proof of the minimax theorem," Jul., 2014, CARMA Workshop on Optimisation and Risk, July 12, 2012., Online copy1.
- [Borwein:2014:VPP] Jonathan M. Borwein, "The visualization of Pi," Apr., 2014, Presentation at Destination Maitland: City of the Future. Conservatorium Campus, Maitland, NSW, Australia.
- [Ganz:2014:DES] Reinhard E. Ganz, "The Decimal Expansion of $ \pi $ Is Not Statistically Random,"
*Experimental Mathematics*, vol. 23, no. 2, 2014, pg. 99--104, DOI. - [Hong:2014:MSI] Hoon Hong and Chee-Keng Yap, ed.,
*Mathematical Software --- ICMS 2014: 4th International Conference, Seoul, South Korea, August 5--9, 2014. Proceedings*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2014, pg. xxxi + 735, DOI. - [Howlett:2014:BRC] Phil Howlett, "Book Review: Convex functions: Constructions, characterizations and counterexamples, by Jonathan M. Borwein and Jon D. Vanderwerff,"
*Australian Mathematical Society Gazette*, vol. 41, no. 3, Jul., 2014, pg. 173--177, Online copy1. - [Huang:2014:BBT] Yakui Huang and Hongwei Liu and Sha Zhou, "A Barzilai--Borwein type method for stochastic linear complementarity problems,"
*Numerical Algorithms*, vol. 67, no. 3, 2014, pg. 477--489, DOI. - [James:2014:STR] D. James and N. Wilkins-Diehr and V. Stodden and D. Colbry and C. Rosales and M. Fahey and J. Shi and R. F. Silva and K. Lee and R. Roskies and L. Loewe and S. Lindsey and R. Kooper and L. Barba and D. Bailey and J. Borwein and O. Corcho and E. Deelman and M. Dietze and B. Gilbert and J. Harkes and S. Keele and P. Kumar and J. Lee and E. Linke and R. Marciano and L. Marini and C. Mattman and D. Mattson and K. McHenry and R. McLay and S. Miguez and B. Minsker and M. Perez-Hernandez and D. Ryan and M. Rynge and I. Santana-Perez and M. Satyanarayanan and G. St. Clair and K. Webster and E. Hovig and D. S. Katz and S. Kay and G. Sandve and D. Skinner and G. Allen and J. Cazes and K. W. Cho and J. Fonseca and L. Hwang and L. Koesterke and P. Patel and L. Pouchard and E. Seidel and I. Suriarachchi, "Standing Together for Reproducibility in Large-Scale Computing: Report on reproducibility@XSEDE,"
*ArXiv e-prints*, Dec., 2014, Online copy1. - [Li:2014:PBB] Xiang Li Li and Sha Zhou, "Projected Barzilai--Borwein method for a class of stochastic linear complementarity problems,"
*Acta Math. Appl. Sin.*, vol. 37, no. 2, 2014, pg. 278--285. - [Petrov:2014:BBM] Miroslav S. Petrov and Todor D. Todorov, "Barzilai--Borwein method for a nonlocal elliptic problem,"
*Mat. Bilten*, vol. 38, no. 2, 2014, pg. 23--30. - [Piantadosi:2014:MSS] Julia Piantadosi and Phil Howlett and Jonathan Borwein, "Modelling and simulation of seasonal rainfall using checkerboard copulas of maximum entropy," 2014, Submitted eMathematics and Computers in Simulation MATCOM, May 2014., Online copy1.
- [Qiu:2014:NAB] Yuanying Qiu and Jianlei Yan and Fanyong Xu, "Nonmonotone adaptive Barzilai--Borwein gradient algorithm for compressed sensing,"
*Abstract and Applied Analysis*, vol. 2014, 2014, pg. 410104, DOI. - [Sendov:2014:SBA] Hristo S. Sendov and Ricardas Zitikis, "The shape of the Borwein--Affleck--Girgensohn function generated by completely monotone and Bernstein functions,"
*Journal of Optimization Theory and Applications*, vol. 160, no. 1, 2014, pg. 67--89, DOI. - [Sidoli:2014:ATB] Nathan Sidoli and Glen Van Brummelen, ed.,
*From Alexandria, Through Baghdad: Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J. L. Berggren*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2014, pg. xv + 583. - [Virosztek:2014:PBB] Daniel Virosztek, "On a problem of Bauschke and Borwein,"
*arxiv.org*, Dec., 2014, Online copy1. - [Xiao:2014:NBB] Yunhai Xiao and Soon-Yi Wu and Liqun Qi, "Nonmonotone Barzilai--Borwein gradient algorithm for $ \ell_1 $-regularized nonsmooth minimization in compressive sensing,"
*Journal of Scientific Computing*, vol. 61, no. 1, 2014, pg. 17--41, DOI. - [Zhang:2014:NFB] Wenlong Zhang and Ying Zhang, "New formulae of BBP-type modulo $6$,"
*Quaest. Math.*, vol. 37, no. 3, 2014, pg. 393--400, DOI. - [xxx-00638] Jonathan M. Borwein, "The Life of Pi," Apr., 2014, A Talk for Pi Day or other Days. Part II, Computation. Colloquium, Inaugural Mobius Lecture Series, Department of Mathematics, Baylor University, Waco, Texas.
- [Adiga:2015:RGT] Chandrashekar Adiga and Nasser Abdo Saeed Bulkhali, "On Ramanujan's general theta function and a generalization of the Borweins' cubic theta functions,"
*Asian-Eur. J. Math.*, vol. 8, no. 1, 2015, pg. 1550002, 16, DOI. - [Anonymous:2015:IJB] Anonymous, "Interview with Jon Borwein at the International Conference on Variational Analysis, Optimization and Quantitative Finance in honor of Terry Rockafellar s 80th Birthday," May, 2015, Online copy1.
- [AragonArtacho:2015:GBD] F. J. Aragon Artacho and J. M. Borwein and M. K. Tam, "Global Behavior of the Douglas--Rachford Method for a Nonconvex Feasibility Problem,"
*ArXiv e-prints*, Jun., 2015, Online copy1, Online copy2. - [Bailey:2015:CCI] D. H. Bailey and J. M. Borwein, "Crandall's computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet $L$-series,"
*Applied Mathematics and Computation*, vol. 268, Oct., 2015, pg. 462--477, DOI, Online copy1. - [Bailey:2015:CFH] David H. Bailey and Jonathan M. Borwein, "Cold Fusion Heats Up: Fusion Energy and LENR Update,"
*Huffington Post*, Aug., 2015, Online copy1. - [Bailey:2015:COG] D. H. Bailey and J. M. Borwein, "Computation as an ontological game changer: The impact of modern mathematical computation tools on the ontology of mathematics," 2015, in Davis:2015:MSS, pg. 25--67, DOI, Online copy1.
- [Bailey:2015:CTM] D. H. Bailey and J. M. Borwein, "Computation and theory of Mordell--Tornheim--Witten sums II,"
*Journal of Approximation Theory*, vol. 197, 2015, pg. 115--140, DOI, Online copy1, Online copy2, Online copy3. - [Bailey:2015:DGC] David H. Bailey and Jonathan M. Borwein, "Does Gun Control Encourage Crime? The Science of Crime Statistics,"
*Huffington Post*, Aug., 2015, Online copy1. - [Bailey:2015:DSF] David H. Bailey and Jonathan M. Borwein, "Desperately Seeking ET: Fermi's Paradox Turns 65 (Part II),"
*Huffington Post*, Apr., 2015, Online copy1. - [Bailey:2015:DVT] David H. Bailey and Jonathan M. Borwein, "Data vs Theory: The Mathematical Battle for the Soul of Physics,"
*Huffington Post*, Dec., 2015, Online copy1. - [Bailey:2015:EAM] David H. Bailey and Jonathan M. Borwein, "Experimental Applied Mathematics," 2015, in Higham:2015:PCA, pg. 925--933, Online copy1.
- [Bailey:2015:ECO] David H. Bailey and Jonathan M. Borwein, "Experimental computation as an ontological game changer: the impact of modern mathematical computation tools on the ontology of mathematics,"
*Mathematics, substance and surmise*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2015, pg. 25--67, Online copy1. - [Bailey:2015:ELG] David H. Bailey and David Borwein and Jonathan M. Borwein, "On Eulerian log-gamma integrals and Tornheim--Witten zeta functions,"
*The Ramanujan Journal*, vol. 36, no. 1--2, 2015, pg. 43--68, DOI, Online copy1. - [Bailey:2015:HMP] David H. Bailey and Jonathan M. Borwein, "How Have 2014 Market Prophets Fared?,"
*Huffington Post*, Dec., 2015, Online copy1. - [Bailey:2015:HPA] David H. Bailey and Jonathan M. Borwein, "High-precision arithmetic in mathematical physics,"
*Mathematics*, vol. 3, no. 2, 2015, pg. 337--367, DOI, Online copy1. - [Bailey:2015:HWD] David H. Bailey and Jonathan M. Borwein, "How Well Do Individuals Understand Social Security (And Its Overseas Counterparts)?,"
*Huffington Post*, Jun., 2015, Online copy1. - [Bailey:2015:LFC] David H. Bailey and Jonathan M. Borwein, "Lessons From the ``Flash Crash'' Regulatory Fiasco,"
*Huffington Post*, Apr., 2015, Online copy1. - [Bailey:2015:MLY] David H. Bailey and Jonathan M. Borwein, "Moore's Law is 50 years old but will it continue?,"
*The Conversation*, Jul., 2015, Online copy1. - [Bailey:2015:OTD] David H. Bailey and Jonathan M. Borwein and Amir Salehipour and Marcos Lopez de Prado and Qiji Zhu, "Online tools for demonstration of backtest overfitting," Lawrence Berkeley National Laboratory and four others, Nov., 2015, Online copy1.
- [Bailey:2015:PPD] David H. Bailey and Jonathan M. Borwein, "Prepared for Pi Day? This year it's a once in a century celebration,"
*The Conversation*, Mar., 2015, Online copy1. - [Bailey:2015:WFP] David H. Bailey and Jonathan M. Borwein, "Where is ET? Fermi's Paradox Turns 65,"
*Huffington Post*, Apr., 2015, Online copy1. - [Borwein:2015:AOF] Jonathan M. Borwein, "Adventures with the OEIS: Five sequences Tony may like," Dec., 2015, Tony Guttmann: Seventy and counting, December 7--8, Newcastle, NSW, Australia.
- [Borwein:2015:BMY] Jonathan M. Borwein, "Brailey and me (and you)," Aug., 2015, Dinner speech, CARMA Workshop in honour of Brailey Sims, August 21--23, Newcastle, NSW, Australia.
- [Borwein:2015:CAGa] J. M. Borwein and O. Giladi, "Convex analysis in groups and semigroups: a sampler,"
*ArXiv e-prints*, Oct., 2015, Online copy1, Online copy2. - [Borwein:2015:CAGb] Jonathan M. Borwein, "Convex analysis on groups and monoids," Sep., 2015, Plenary Variational Analysis and Optimisation Special Session, AustMS 59, Flinders University, Bedford Park SA 5042, Australia, 28 Sept--Oct 1, 2015.
- [Borwein:2015:CDR] Jonathan M. Borwein and Matthew K. Tam, "The cyclic Douglas--Rachford method for inconsistent feasibility problems,"
*Journal of Nonlinear and Convex Analysis*, vol. 16, no. 4, 2015, pg. 573--584, Online copy1, Online copy2. - [Borwein:2015:CRA] J. M. Borwein and G. Li and M. K. Tam, "Convergence rate analysis for averaged fixed point iterations in the presence of Holder regularity,"
*ArXiv e-prints*, Oct., 2015, Online copy1, Online copy2. - [Borwein:2015:CU] Jonathan M. Borwein and Brailey Sims, "Convexity in ultraproducts," Aug., 2015, Preprint.
- [Borwein:2015:DCP] J. M. Borwein and R. L. Luke, "Duality and Convex Programming," 2015, in Scherzer:2015:HMM, pg. 257--304, Online copy1.
- [Borwein:2015:DRM] Jonathan M. Borwein, "Douglas--Rachford methods for matrix completion problems," Apr., 2015, Federation University Workshop on Continuous Optimization in honour of Alex Rubinov (given from Newcastle).
- [Borwein:2015:DSU] J. M. Borwein and A. Straub and C. Vignat, "Densities of short uniform random walks in higher dimensions,"
*ArXiv e-prints*, Aug., 2015, Online copy1, Online copy2. - [Borwein:2015:ECV] Jonathan M. Borwein, "Exploratory Computation and Visual Theorems: The Computer as Collaborator. Parts I and II," Jan., 2015, Opening general lectures, AMSI Summer School Newcastle, January 5--26.
- [Borwein:2015:FFC] Jonathan M. Borwein, "The Fitzpatrick function as a convex gap function," Feb., 2015, Special session in memory of Simon Fitzpatrick, South Pacific Continuous Optimization Meeting, Adelaide, SA, Australia, February 8--12, 2015.
- [Borwein:2015:FM] Jonathan M. Borwein, "The Future of Mathematics: 1965 to 2065," Mathematical Association of America, Washington, DC, USA, 2015, in Kennedy:2015:CAM, pg. 313--329, Online copy1.
- [Borwein:2015:LKM] Jonathan M. Borwein and Yann Bugeaud and Michael Coons, "The legacy of Kurt Mahler,"
*Notices of the American Mathematical Society*, vol. 62, no. 5, May, 2015, pg. 526--531, DOI. - [Borwein:2015:MCR] D. Borwein and J. M. Borwein and B. Sims, "Monotonicity of certain Riemann sums," 2015, Submitted, Mathematics Magazine, January 2015., Online copy1.
- [Borwein:2015:MLY] Jonathan M. Borwein, "Moore's Law is 50 years old," Jul., 2015, Interview with ABC Radio Melbourne, VIC, Australia.
- [Borwein:2015:MMI] Jonathan M. Borwein and Joydeep Dutta, "Maximal Monotone Inclusions and Fitzpatrick Functions,"
*Journal of Optimization Theory and Applications*, 2015, pg. 1--28, DOI, Online copy1, Online copy2. - [Borwein:2015:MWK] J. M. Borwein, "The Man Who Knew Infinity: a mathematician's life comes to the movies,"
*The Conversation*, Nov., 2015, Online copy1. - [Borwein:2015:NCR] Jonathan M. Borwein and Brailey Sims and Matthew K. Tam, "Norm convergence of realistic projection and reflection methods,"
*Optimization*, vol. 64, no. 1, 2015, pg. 161--178, DOI, Online copy1. - [Borwein:2015:NPD] J. M. Borwein and O. Giladi, "Nearest points and delta convex functions in Banach spaces,"
*ArXiv e-prints*, Oct., 2015, Online copy1. - [Borwein:2015:OPB] J. M. Borwein, "It's often the puzzles that baffle that go viral,"
*The Conversation*, Apr., 2015, Online copy1. - [Borwein:2015:PP] Jonathan M. Borwein, "I prefer Pi," Mar., 2015, CARMA Colloquium.
- [Borwein:2015:PPA] Jonathan M. Borwein and Scott T. Chapman, "I prefer Pi: Addenda,"
*American Mathematical Monthly*, vol. 122, no. 8, Oct., 2015, pg. 800--800, DOI, Online copy1. - [Borwein:2015:PPB] Jonathan M. Borwein and Scott T. Chapman, "I prefer Pi: a brief history and anthology of articles in the American Mathematical Monthly,"
*American Mathematical Monthly*, vol. 122, no. 3, Mar., 2015, pg. 195--216, DOI, Online copy1, Online copy2. - [Borwein:2015:RNP] Jonathan M. Borwein and Armin Straub, "Relations for Nielsen polylogarithms,"
*Journal of Approximation Theory*, vol. 193, 2015, pg. 74--88, DOI, Online copy1, Online copy2. - [Borwein:2015:RPM] Jonathan M. Borwein and Liangjin Yao, "Recent progress on monotone operator theory," 2015, in Reich:2015:IPO, pg. 51--81, DOI, Online copy1.
- [Borwein:2015:SDR] Jonathan M. Borwein, "Set the default to reproducible," Nov., 2015, CARMA workshop on Mathematical Aspects of Behavioural Economics and Finance, November 13--14, Newcastle, NSW, Australia.
- [Borwein:2015:SRC] Jonathan M. Borwein and Ohad Giladi, "Some remarks on convex analysis in topological groups,"
*ArXiv e-prints*, Oct., 2015, Online copy1, Online copy2. - [Borwein:2015:SWAa] Jonathan M. Borwein, "Short walks in arbitrary dimensions," Jun., 2015, Final lecture Workshop on Mathematics and Computation, CARMA 21--23 June, 2015.
- [Borwein:2015:SWAb] Jonathan M. Borwein, "Short walks in arbitrary dimensions," Aug., 2015, ASEMS Workshop on Stochastics and Special Functions, University of Melbourne, Melbourne, VIC, Australia, 13--14 August, 2015.
- [Borwein:2015:SWAc] Jonathan M. Borwein, "Short walks in arbitrary dimensions," Sep., 2015, Number Theory Down Under 3, CARMA, University of Newcastle, 18--19 September, 2015.
- [Borwein:2015:SWC] Jonathan M. Borwein, "A short walk can be beautiful," Oct., 2015, Maths Education Special Session, AustMS 59, Flinders University, Bedford Park SA 5042, Australia, 28 Sept--Oct 1, 2015., Online copy1.
- [Borwein:2015:TLD] Jonathan M. Borwein, "Two lectures on Douglas--Rachford reflection methods for convex and non convex feasibility problems," Aug., 2015, Keynote lectures, RMIT Workshop on Optimisation, August 11, 2013.
- [Borwein:2015:TWC] J. M. Borwein, "The `train wreck' continues: another social science retraction,"
*The Conversation*, May, 2015, Online copy1. - [Borwein:2015:U] Jonathan M. Borwein, "[untitled]," Nov., 2015, NZ Radio interview on the Melbourne Cup, Newstalk ZB.
- [Borwein:2015:WWH] Jonathan M. Borwein, "Who We Are and How We Got That Way?," 2015, in Casazza:2015:M, pg. 140--156, Online copy1.
- [Casazza:2015:M] Peter G. Casazza and Steven G. (Steven George) Krantz and Randi D. Ruden, ed.,
*I, mathematician*, Mathematical Association of America, Washington, DC, USA, 2015, pg. xiii + 273. - [Cohen:2015:BRM] Marion Cohen, "Book Review: Mathematicians on Creativity. Edited by Peter B. Borwein, Peter Liljedahl, and Helen Zhai, The Mathematical Association of America, Washington DC, 2014, xviii + 199 pp, ISBN 978-0-88385-574-4, $30.00,"
*American Mathematical Monthly*, vol. 122, no. 6, Jun., 2015, pg. 613--616, DOI, Online copy1. - [Dai:2015:PBB] Yu-Hong Dai and Mehiddin Al-Baali and Xiaoqi Yang, "A positive Barzilai--Borwein-like stepsize and an extension for symmetric linear systems,"
*Numerical analysis and optimization*, Springer, Cham, 2015, pg. 59--75, DOI. - [Davis:2015:MSS] Ernest Davis and Philip J. Davis, ed.,
*Mathematics, Substance, and Surmise: Views on the Meaning and Ontology of Mathematics*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2015. - [Fang:2015:DSF] Xiaowei Fang and Qin Ni, "A direct search frame-based adaptive Barzilai--Borwein method,"
*Journal of Computational Mathematics*, vol. 33, no. 2, 2015, pg. 179--190, DOI. - [Gao:2015:BBL] Huan Gao and Yu-Hong Dai and Xiao-Jiao Tong, "Barzilai--Borwein-like methods for the extreme eigenvalue problem,"
*J. Ind. Manag. Optim.*, vol. 11, no. 3, 2015, pg. 999--1019, DOI. - [Higham:2015:PCA] Nicholas J. Higham and Mark R. Dennis and Paul Glendinning and Paul A. Martin and Fadil Santosa and Jared Tanner, ed.,
*The Princeton Companion to Applied Mathematics*, Princeton University Press, Princeton, NJ, USA, 2015, pg. xvii + 3 + 994 + 16. - [Huang:2015:BBT] Yakui Huang and Hongwei Liu, "A Barzilai--Borwein type method for minimizing composite functions,"
*Numerical Algorithms*, vol. 69, no. 4, 2015, pg. 819--838, DOI. - [Huang:2015:EMP] Yakui Huang and Hongwei Liu and Sha Zhou, "An efficient monotone projected Barzilai--Borwein method for nonnegative matrix factorization,"
*Applied Mathematics Letters*, vol. 45, 2015, pg. 12--17, DOI, Online copy1. - [Huang:2015:QRP] Yakui Huang and Hongwei Liu and Shuisheng Zhou, "Quadratic regularization projected Barzilai--Borwein method for nonnegative matrix factorization,"
*Data Min. Knowl. Discov.*, vol. 29, no. 6, 2015, pg. 1665--1684, DOI. - [Huang:2015:RCP] Yakui Huang and Hongwei Liu, "On the rate of convergence of projected Barzilai--Borwein methods,"
*Optimization Methods and Software*, vol. 30, no. 4, 2015, pg. 880--892, DOI. - [Kennedy:2015:CAM] Stephen F. Kennedy, ed.,
*A Century of Advancing Mathematics*, Mathematical Association of America, Washington, DC, USA, 2015, pg. xi + 423. - [Li:2015:SNB] Xiangli Li, "Smoothing nonmonotone Barzilai--Borwein gradient method and its application to stochastic linear complementarity problems,"
*Mathematical Problems in Engineering*, vol. 2015, 2015, pg. 425351, DOI, Online copy1. - [Merca:2015:DII] Mircea Merca, "A double inequality involving Erdos--Borwein constants,"
*Miskolc Math. Notes*, vol. 16, no. 1, 2015, pg. 277--281. - [Nimbran:2015:TSA] Amrik Singh Nimbran, "Taylor series for arctan and BBP-type formulas for $ \pi $,"
*Math. Student*, vol. 84, no. 3--4, 2015, pg. 39--52. - [Reich:2015:IPO] Simeon Reich and Alexander J. Zaslavski, ed.,
*Infinite products of operators and their applications: a research workshop of the Israel Science Foundation: May 21--24, 2012, Haifa, Israel: Israel mathematical conference proceedings*, American Mathematical Society, Providence, RI, USA, 2015, pg. xi + 266, DOI, Online copy1. - [Scherzer:2015:HMM] Otmar Scherzer, ed.,
*Handbook of Mathematical Methods in Imaging*, SpringerReference, New York, NY, USA, 2015, pg. xviii + 2178 (3 volumes). - [Solomon:2015:DS] Benjamin T. Solomon, "ET, the Deafening Silence,"
*Huffington Post*, Aug., 2015, Online copy1. - [Sopyla:2015:SGD] Krzysztof Sopyla and Pawe Drozda, "Stochastic Gradient Descent with Barzilai--Borwein update step for SVM,"
*Information Sciences*, vol. 316, 2015, pg. 218--233, DOI, Online copy1. - [Wang:2015:BBS] Liumei Wang and Wenyu Sun and Raimundo J. B. de Sampaio and Jinyun Yuan, "A Barzilai and Borwein scaling conjugate gradient method for unconstrained optimization problems,"
*Applied Mathematics and Computation*, vol. 262, 2015, pg. 136--144, DOI, Online copy1. - [Wei:2015:SBT] Chuanan Wei, "Several BBP-type formulas for $ \pi $,"
*Integral Transforms Spec. Funct.*, vol. 26, no. 5, 2015, pg. 315--324, DOI. - [Anonymous:2016:JMB] Anonymous, "Jonathan M. Borwein, former CMS President, dies at 65,"
*ACM Communications in Computer Algebra*, vol. 50, no. 3, Sep., 2016, pg. 121--122. - [Artacho:2016:GBD] Francisco J. Aragon Artacho and Jonathan M. Borwein and Matthew K. Tam, "Global behavior of the Douglas--Rachford method for a nonconvex feasibility problem,"
*Journal of Global Optimization*, vol. 65, no. 2, 2016, pg. 309--327, DOI, Online copy1. - [Arzani:2016:NNF] F. Arzani and M. Reza Peyghami, "A new nonmonotone filter Barzilai--Borwein method for solving unconstrained optimization problems,"
*International Journal of Computer Mathematics*, vol. 93, no. 3, 2016, pg. 596--608, DOI. - [Bailey:2016:AIS] David H. Bailey and Jonathan M. Borwein, "Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics," 2016, in Selin:2016:EHS, pg. 305--310, DOI, Online copy1.
- [Bailey:2016:BBM] David H. Bailey, "Bailey, Borwein, Mattingly and Wightwick to receive the Levi L. Conant Prize from AMS," Dec., 2016, Online copy1, Online copy2.
- [Bailey:2016:BOF] David H. Bailey and Jonathan M. Borwein and Amir Salehipour and Marcos Lopez de Prado and Qiji Zhu, "Backtest Overfitting in Financial Markets,"
*Automated Trader Magazine*, vol. 39, no. Q1, 2016, pg. 52--57, Online copy1, Online copy2. - [Bailey:2016:CDA] David H. Bailey and Jonathan M. Borwein and Jason Kimberley and Watson Ladd, "Computer Discovery and Analysis of Large Poisson Polynomials,"
*Experimental Mathematics*, 2016, DOI, Online copy1, Online copy2. - [Bailey:2016:CDD] David H. Bailey, "The computation of $ \pi $ to 29,360,000 decimal digits using Borweins' quartically convergent algorithm (1988)," 2016, in Bailey:2016:PNG, pg. 109--124, DOI.
- [Bailey:2016:CEEa] D. H. Bailey and J. M. Borwein, "Computation and experimental evaluation of Mordell--Tornheim--Witten sum derivatives," University of California at Davis and Centre for Computer Assisted Research Mathematics and its Applications (CARMA), University of Newcastle, Aug., 2016, Online copy1.
- [Bailey:2016:CEEb] D. H. Bailey and J. M. Borwein, "Computation and experimental evaluation of Mordell--Tornheim--Witten sum derivatives,"
*Experimental Mathematics*, 2016, Online copy1. - [Bailey:2016:CPI] David H. Bailey and Jonathan M. Borwein and Andrew Mattingly and Glenn Wightwick, "The computation of previously inaccessible digits of $ \pi $," 2016, in Bailey:2016:PNG, pg. 327--339, DOI.
- [Bailey:2016:CSC] D. H. Bailey and J. M. Borwein, "Computation and structure of character polylogarithms with applications to character Mordell--Tornheim--Witten sums,"
*Mathematics of Computation*, vol. 85, no. 297, 2016, pg. 295--324, DOI, Online copy1, Online copy2, Online copy3, Online copy4, Online copy5, Online copy6. - [Bailey:2016:EMS] D. H. Bailey and J. M. Borwein, "Experimental Mathematics in the Society of the Future,"
*7th European Mathematics Congress (EMC) on Mathematics in the Society of the Future*, European Mathematical Society, Zurich, Switzerland, 2016, DOI, Online copy1. - [Bailey:2016:FRS] David H. Bailey and Jonathan M. Borwein and Victoria Stodden, "Facilitating Reproducibility in Scientific Computing: Principles and Practice,"
*Reproducibility: Principles, Problems, Practices, and Prospects*, Harald Atmanspacher and Sabine Maasen, ed., Wiley, New York, NY, USA, 2016, pg. 205--231, DOI. - [Bailey:2016:HCB] David H. Bailey and Jonathan M. Borwein, "Are humans or computers better at mathematics?," Nov., 2016, This article was co-authored with Jonathan M. Borwein before his death on 2 August 2016. A condensed version of this article appeared in iteBailey:2016:WCR.
- [Bailey:2016:HHI] D. Bailey and J. Borwein and M. Lopez de Prado and A. Salehipour and Qiji Zhu, "How hard is it to avoid backtest overfitting?," 2016, Submitted to Applied Mathematical Finance, July 2016.
- [Bailey:2016:HLI] David H. Bailey and Jonathan M. Borwein, "How likely is it that scientists are engaged in a conspiracy?,"
*Huffington Post*, Feb., 2016, Online copy1. - [Bailey:2016:IAR] David H. Bailey and Jonathan M. Borwein, "Interview With Andrea Rossi, LENR Energy Pioneer,"
*Huffington Post*, Oct., 2016, Online copy1. - [Bailey:2016:JBD] David H. Bailey, "Jonathan Borwein dies at 65,"
*Math Drudge: Two mathematicians contemplate the cosmos*, Aug., 2016, Online copy1. - [Bailey:2016:JMB] David H. Bailey, "Jonathan M. Borwein's Extraordinary Mathematical Career,"
*Canadian Mathematical Society Notes*, vol. 48, no. 6, Dec., 2016, pg. 14--15, Online copy1, Online copy2. - [Bailey:2016:PBT] D. H. Bailey and J. M. Borwein and M. Lopez de Prado and Qiji Zhu, "The probability of back-test over-fitting,"
*Journal of Computational Finance*, 2016, Online copy1, Online copy2. - [Bailey:2016:PD] David H. Bailey and Jonathan M. Borwein, "Pi Day 2016,"
*Huffington Post*, Mar., 2016, Online copy1. - [Bailey:2016:PNG] David H. Bailey and Jonathan M. Borwein, ed.,
*Pi: the next generation: a sourcebook on the recent history of Pi and its computation*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2016, pg. xiv + 507. - [Bailey:2016:RCS] David H. Bailey and Jonathan M. Borwein and Richard P. Brent and Mohsen Reisi, "Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi,"
*Experimental Mathematics*, vol. 22, 2016, pg. 1--8, DOI, Online copy1, Online copy2. - [Bailey:2016:SEF] David H. Bailey and Jonathan M. Borwein, "Space Exploration: The Future is Now,"
*Huffington Post*, Apr., 2016, Online copy1. - [Bailey:2016:SPD] D. Bailey and J. Borwein and M. Lopez de Prado, "Stock portfolio design and backtest overfitting,"
*Journal of Investment Management*, 2016, Online copy1, Online copy2. - [Bailey:2016:SPP] David H. Bailey and Jonathan M. Borwein, "Sphere packing problem solved in $8$ and $ 24$ dimensions," Apr., 2016, See research papers iteViazovska:2016:SPP,Cohn:2016:SPP., Online copy1.
- [Bailey:2016:WCR] David H. Bailey and Jonathan M. Borwein, "Will computers replace humans in mathematics?,"
*The Conversation*, Jun., 2016, Online copy1. - [Bailey:2016:WMM] David H. Bailey and Jonathan M. Borwein, "Why Are So Many Mathematicians Also Musicians?,"
*Huffington Post*, May, 2016, Online copy1. - [Borwein:2016:AGM] J. M. Borwein and P. B. Borwein, "The arithmetic--geometric mean and fast computation of elementary functions (1984)," Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2016, in Bailey:2016:PNG, pg. 79--96, DOI, Online copy1.
- [Borwein:2016:AO] J. M. Borwein, "Adventures with the OEIS,"
*The Ramanujan Journal*, 2016, Online copy1. - [Borwein:2016:BOM] J. M. Borwein and K. Dilcher and H. Tomkins, "The behaviour at the origin of multiple Witten zeta functions," Jul., 2016, In preparation.
- [Borwein:2016:CAGa] J. M. Borwein and O. Giladi, "Convex Analysis in Groups and Semigroups: a Sampler,"
*Mathematical Programming Series B*, 2016, pg. 1--44, DOI, Online copy1, Online copy2. - [Borwein:2016:CAGb] Jonathan M. Borwein, "Convex analysis on groups and monoids," Feb., 2016, Keynote lecture, South Pacific Optimization Meeting V, University of New Caledonia, Noumea 98851, New Caledonia.
- [Borwein:2016:CAGc] Jonathan M. Borwein, "Convex Analysis on Groups and Semigroups," Jun., 2016, Plenary lecture, Fourth International Workshop on Functional Analysis, University of Cartagena, June 9--10.
- [Borwein:2016:CAGd] Jonathan M. Borwein, "Convex Analysis on Groups and Semigroups," Jul., 2016, Plenary lecture, Mathematical Optimisation Down Under (MODU2016), Melbourne, Melbourne, VIC, Australia, July 18--22. (Given from London, ON, Canada, on 21 July 2016)., Online copy1.
- [Borwein:2016:CFD] Jonathan M. Borwein and Corwin W. Sinnamon, "A closed form for the density functions of random walks in odd dimensions,"
*Bulletin of the Australian Mathematical Society*, vol. 93, no. 2, Apr., 2016, pg. 330--339, DOI, Online copy1, Online copy2. - [Borwein:2016:CLA] Jonathan M. Borwein, "Continued Logarithms and Associated Continued Fractions," Jul., 2016, Colloquium, University of Western Ontario, London, ON, Canada., Online copy1.
- [Borwein:2016:CLT] Jonathan M. Borwein and Neil Calkin and Scott N. Lindstrom and Andrew Mattingly, "Continued Logarithms and Their Associated Continued Fractions,"
*Experimental Mathematics*, 2016, pg. 1--18, DOI, Online copy1. - [Borwein:2016:CMM] Jonathan M. Borwein, "CARMA: a model for multi-disciplinary and multi-institutional collaborative research," May, 2016, Colloquium, Florida ADRC (Alzheimer's Disease Research Center), McKnight Brain Institute, University of Florida, Gainesville, FL, USA.
- [Borwein:2016:CRA] Jonathan M. Borwein and Gouyin Li and Matthew Tam, "Convergence rate analysis for averaged fixed point iterations in the presence of Holder regularity," 2016, Revised SIAM Optimization, April 2016., Online copy1, Online copy2.
- [Borwein:2016:DFE] J. M. Borwein and Karl Dilcher, "Derivatives and Fast Evaluation of the Witten Zeta Function," 2016, Submitted to the Ramanujan Journal, April 2016.
- [Borwein:2016:DSU] Jonathan M. Borwein and Armin Straub and Christophe Vignat, "Densities of short uniform random walks in higher dimensions,"
*Journal of Mathematical Analysis and Applications*, vol. 437, no. 1, 2016, pg. 668--707, DOI, Online copy1, Online copy2. - [Borwein:2016:EAI] Jonathan M. Borwein and Michael Rose, "Expectations over attractors of iterated function systems," 2016, Submitted JMAA, June 2016., Online copy1.
- [Borwein:2016:EAM] J. M. Borwein and A. Straub, "Entry for August on ``Moments of random walks'',"
*Mathematical Beauties 2016 Calendar*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2016. - [Borwein:2016:EBD] J. M. Borwein and Ohad Giladi, "Ergodic behaviour of a Douglas--Rachford operator away from the origin," 2016, Submitted to the Journal of Global Optimization, May 2016.
- [Borwein:2016:EM] Jonathan Borwein, "Experimental Mathematics," 2016, in Calude:2016:HFC, pg. 141--156, DOI, Online copy1.
- [Borwein:2016:EMP] Jonathan Borwein, "The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof,"
*Canadian Mathematical Society Notes*, vol. 48, no. 6, Dec., 2016, pg. 10--13, Online copy1. - [Borwein:2016:GCLa] J. M. Borwein and K. G. Hare and J. G. Lynch, "Generalized Continued Logarithms and Related Continued Fractions,"
*ArXiv e-prints*, Jun., 2016, Online copy1. - [Borwein:2016:GCLb] J. M. Borwein and K. Hare and J. Lynch, "Generalized Continued Logarithms and Related Continued Fractions," 2016, Submitted to Math of Computation, June 2016.
- [Borwein:2016:GDR] J. Borwein and S. Lindstrom and A. Schneider and B. Sims and M. Skerritt, "Generalisation of the Douglas--Rachford method from simple spheres to ellipses and $p$-spheres," Jun., 2016, Preprint.
- [Borwein:2016:GEC] Jonathan M. Borwein, "Generalisations, Examples, and Counter-examples in Analysis and Optimisation: In honour of Michel Thera at 70,"
*Set-Valued and Variational Analysis*, 2016, pg. 1--13, DOI, Online copy1, Online copy2. - [Borwein:2016:LFA] Jonathan M. Borwein, "The Lambert $W$ function in Analysis and Optimization," Jul., 2016, Keynote lecture, Fields Workshop on the 20th anniversary of the Lambert $W$ function, July 25--28, Western University, London, ON, Canada.
- [Borwein:2016:LFOa] Jonathan M. Borwein, "The Lambert $W$ function in Optimization," Jun., 2016, Third Keynote lecture, OVA7, in honour of Michel Thera at 70, June 1--3, Alicante, Spain.
- [Borwein:2016:LFOb] J. M. Borwein and Scott Lindstrom, "The Lambert $W$ Function and other Special Functions in Analysis and Optimization,"
*Pure and Applied Functional Analysis*, vol. 1, no. 3, 2016. - [Borwein:2016:LHC] Jonathan M. Borwein, "The Life of $ \pi $: History and Computation: A Talk for Pi Day or Other Days," Apr., 2016, Nerenberg Memorial Lecture, University of Western Ontario, London, ON, Canada., Online copy1.
- [Borwein:2016:LPA] Jonathan M. Borwein, "The Life of Pi: From Archimedes to ENIAC and Beyond," 2016, in Bailey:2016:PNG, pg. 443--474, Online copy1.
- [Borwein:2016:MLO] Jonathan M. Borwein and Scott B. Lindstrom, "Meetings with Lambert $ {\cal W} $ and other special functions in optimization and analysis,"
*Pure and Applied Functional Analysis*, vol. 1, no. 3, 2016, pg. 361--396. - [Borwein:2016:MMI] J. M. Borwein and J. Dutta, "Maximal monotone inclusions and Fitzpatrick functions,"
*Journal of Optimization Theory and Applications*, vol. 171, no. 3, 2016, pg. 757--784, DOI. - [Borwein:2016:NPD] Jonathan M. Borwein and Ohad Giladi, "Nearest points and delta convex functions in Banach spaces,"
*Bulletin of the Australian Mathematical Society*, vol. 93, no. 2, Apr., 2016, pg. 283--294, DOI, Online copy1. - [Borwein:2016:PD] J. M. Borwein, "Pi Day 2016,"
*Rhodes Scholar Blog*, Apr., 2016, Online copy1. - [Borwein:2016:PEN] J. M. Borwein and P. B. Borwein and K. Dilcher, "Pi, Euler numbers, and asymptotic expansions," 2016, in Bailey:2016:PNG, pg. 197--205, Online copy1.
- [Borwein:2016:PPB] Jonathan M. Borwein and Scott T. Chapman, "I prefer Pi: a brief history and anthology of articles in the American Mathematical Monthly," 2016, in Bailey:2016:PNG, pg. 475--499, Online copy1.
- [Borwein:2016:PPM] J. M. Borwein, "Pi and its part in the most beautiful formula in mathematics,"
*The Conversation*, Mar., 2016, Online copy1. - [Borwein:2016:RME] J. M. Borwein and P. B. Borwein and D. H. Bailey, "Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi," 2016, in Bailey:2016:PNG, pg. 175--195, Online copy1.
- [Borwein:2016:RMM] Jonathan M. Borwein, "Reflection methods for matrix completion," May, 2016, Tutte Seminar, University of Waterloo, Waterloo, ON, Canada.
- [Borwein:2016:RMW] J. M. Borwein, "Ramanujan -- The man who knew infinity,"
*Rhodes Scholar Blog*, Feb., 2016, Online copy1. - [Borwein:2016:RP] Jonathan M. Borwein and Peter B. Borwein, "Ramanujan and Pi," 2016, in Bailey:2016:PNG, pg. 165--174, Online copy1.
- [Borwein:2016:SRC] Jonathan M. Borwein and Ohad Giladi, "Some Remarks on Convex Analysis in Topological Groups,"
*Journal of Convex Analysis*, vol. 23, no. 2, 2016, pg. 313--332, Online copy1, Online copy2. - [Borwein:2016:SRL] Jonathan M. Borwein and Ohad Giladi, "Some Remarks on Locally Convex Groups,"
*Journal of Convex Analysis*, 2016. - [Borwein:2016:STWa] Jonathan M. Borwein, "Seeing things by walking on real numbers," May, 2016, Mathematics Colloquium, University of Florida, Gainesville, FL, USA.
- [Borwein:2016:STWb] Jonathan M. Borwein, "Seeing things by walking on real numbers," Jun., 2016, Mathematics Colloquium, Dalhousie University, Halifax, NS, Canada.
- [Borwein:2016:STWc] Jonathan M. Borwein, "Seeing things by walking on real numbers," Jul., 2016, Mathematics Seminar, University of Toronto, Toronto, ON, Canada.
- [Borwein:2016:SWC] J. M. Borwein, "A short walk can be beautiful,"
*Journal of Humanistic Mathematics*, vol. 6, no. 1, 2016, pg. 5--28, Online copy1. - [Borwein:2016:TACa] Jonathan M. Borwein, "Theory and Applications of Convex and Non-Convex Feasibility Problems," Apr., 2016, Applied Mathematics Spring Lecture Series --- University of Western Ontario, London, ON, Canada. Lecture 1.
- [Borwein:2016:TACb] Jonathan M. Borwein, "Theory and Applications of Convex and Non-Convex Feasibility Problems," Apr., 2016, Applied Mathematics Spring Lecture Series --- University of Western Ontario, London, ON, Canada. Lecture 2.
- [Borwein:2016:TACc] Jonathan M. Borwein, "Theory and Applications of Convex and Non-Convex Feasibility Problems," May, 2016, Applied Mathematics Spring Lecture Series --- University of Western Ontario, London, ON, Canada. Lecture 3.
- [Borwein:2016:TACd] Jonathan M. Borwein, "Theory and Applications of Convex and Non-Convex Feasibility Problems," May, 2016, Applied Mathematics Spring Lecture Series --- University of Western Ontario, London, ON, Canada. Lecture 4.
- [Borwein:2016:TACe] Jonathan M. Borwein, "Theory and Applications of Convex and Non-Convex Feasibility Problems," May, 2016, Applied Mathematics Spring Lecture Series --- University of Western Ontario, London, ON, Canada. Lecture 5.
- [Borwein:2016:TT] Jonathan M. Borwein, "Technical Talk," Apr., 2016, 25th Owens Memorial Lecture, Wayne State University, Detroit, MI, USA.
- [Borwein:2016:VAL] J. M. Borwein and Qiji (Jim) Zhu, "A variational approach to Lagrange multipliers,"
*Journal of Optimization Theory and Applications*, 2016, pg. 1--30, DOI, Online copy1. - [Borwein:2016:VAP] Jonathan M. Borwein, "Variational Analysis in the Presence of Symmetry," Jun., 2016, Informal Worshop on Nonlinear Optimization, Western, London, ON, Canada, June 24--25.
- [Borwein:2016:VCP] Jonathan M. Borwein, "A very complicated proof of the minimax theorem,"
*Minimax Theory and its Applications*, vol. 1, no. 1, 2016, pg. 21--27, Online copy1, Online copy2. - [Borwein:2016:VTM] Jonathan M. Borwein, "Visual Theorems in Mathematics," May, 2016, Fields Workshop on Computationally Assisted Mathematical Discovery and Experimental Mathematics, First Plenary Lecture, Western University, London, ON, Canada, May 12--15.
- [Borwein:2016:WNa] Jonathan M. Borwein, "Walking on Numbers," Apr., 2016, Technical Talk, Nerenberg Memorial Lecture, University of Western Ontario, London, ON, Canada.
- [Borwein:2016:WNb] Jonathan M. Borwein, "Walking on Numbers," Apr., 2016, 25th Owens Memorial Lecture, Wayne State University, Detroit, MI, USA.
- [Borwein:2016:WNc] Jonathan M. Borwein, "Walking on Numbers," Apr., 2016, Mathematics Department Colloquium, Western Michigan University, Kalamazoo, MI, USA.
- [Breen:2016:DBJ] Mike Breen and Annette Emerson, "David Bailey, Jonathan Borwein, Andrew Mattingly, and Glenn Wightwick to Receive 2017 AMS Conant Prize," Dec., 2016, Online copy1.
- [Calude:2016:HFC] Cristian S. Calude,
*The Human Face of Computing*, Imperial College Press, London, UK, 2016, pg. xvi + 432. - [Campbell:2016:LEJ] Christiane Rousseau Eddy Campbell and Graham P. Wright, "Letter to the Editor: Jonathan Borwein and the Canadian Mathematical Society,"
*Canadian Mathematical Society Notes*, vol. 48, no. 6, Dec., 2016, pg. 21--21, Online copy1. - [Campbell:2016:RUN] Alexander Campbell, "Research uncovers new sources of financial model risk: Past performance of financial models is no guarantee of future success, two forthcoming papers suggest,"
*Risk.net*, May, 2016, Online copy1. - [Chapman:2016:LEJ] Scott T. Chapman, "A Letter From the Editor: Jonathan M. Borwein (1951--2016),"
*American Mathematical Monthly*, vol. 123, no. 9, Nov., 2016, pg. 847--848, DOI, Online copy1. - [Cohn:2016:SPP] Henry Cohn and Abhinav Kumar and Stephen D. Miller and Danylo Radchenko and Maryna Viazovska, "The sphere packing problem in dimension $ 24 $,"
*arxiv.org*, Mar., 2016, pg. 1--12, Online copy1. - [Dai:2016:BBC] YuHong Dai and CaiXia Kou, "A Barzilai--Borwein conjugate gradient method,"
*Science China. Mathematics*, vol. 59, no. 8, 2016, pg. 1511--1524, DOI. - [Huang:2016:SPC] Yakui Huang and Hongwei Liu and Tengteng Yu, "Smoothing projected cyclic Barzilai--Borwein method for stochastic linear complementarity problems,"
*International Journal of Computer Mathematics*, vol. 93, no. 7, 2016, pg. 1188--1199, DOI. - [Kortenkamp:2016:JMB] Ulrich Kortenkamp and John Monaghan and Luc Trouche, "Jonathan M Borwein (1951--2016): exploring, experiencing and experimenting in mathematics --- an inspiring journey in mathematics,"
*Educational Studies in Mathematics*, vol. 93, no. 2, Oct., 2016, pg. 131--136, DOI, Online copy1. - [Krejic:2016:BBM] Natasa Krejic and Natasa Krklec Jerinkic and Sanja Rapajic, "Barzilai--Borwein method with variable sample size for stochastic linear complementarity problems,"
*Optimization*, vol. 65, no. 2, 2016, pg. 479--499, DOI, Online copy1. - [Kruger:2016:BPV] A. Y. Kruger and S. Plubtieng and T. Seangwattana, "Borwein--Preiss variational principle revisited,"
*Journal of Mathematical Analysis and Applications*, vol. 435, no. 2, 2016, pg. 1183--1193, DOI, Online copy1. - [Monaghan:2016:TMI] John Monaghan and Luc Trouche and Jonathan M. Borwein,
*Tools and Mathematics: Instruments for Learning*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2016, pg. xxi + 483. - [Morovati:2016:BBM] Vahid Morovati and Latif Pourkarimi and Hadi Basirzadeh, "Barzilai and Borwein's method for multiobjective optimization problems,"
*Numerical Algorithms*, vol. 72, no. 3, Jul., 2016, pg. 539--604, DOI, Online copy1. - [Selin:2016:EHS] Helaine Selin,
*Encyclopaedia of the History of Science, Technology, and Medicine in non-Western cultures*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2016. - [Thera:2016:HSH] Michel Thera, "Homo Sapiens, Homo Ludens,"
*Journal of Optimization Theory and Applications*, vol. 172, Dec., 2016, pg. 1--8, DOI. - [Viazovska:2016:SPP] Maryna Viazovska, "The sphere packing problem in dimension $8$,"
*arxiv.org*, Mar., 2016, pg. 1--22, Online copy1. - [Wu:2016:BBL] Lei Wu and Zhe Sun and Dong-Hui Li, "A Barzilai--Borwein-Like Iterative Half Thresholding Algorithm for the $ L_{1 / 2} $ Regularized Problem,"
*Journal of Scientific Computing*, vol. 67, no. 2, May, 2016, pg. 581--601, DOI, Online copy1, Online copy2. - [Bailey:2017:CDA] David H. Bailey and Jonathan M. Borwein and Jason S. Kimberley and Watson Ladd, "Computer Discovery and Analysis of Large Poisson Polynomials,"
*Experimental Mathematics*, vol. 26, no. 3, 2017, pg. 349--363, DOI, Online copy1. - [Bailey:2017:CMV] David H. Bailey and Jonathan M. Borwein, "A computational mathematics view of space, time and complexity,"
*Space, Time, and Frontiers of Human Understanding*, 2017, in Wuppuluri:2017:STL, pg. 403--416, Online copy1. - [Bailey:2017:ERM] David H. Bailey and Jonathan M. Borwein and Amir Salehipour and Marcos Lopez de Prado, "Evaluation and ranking of market forecasters," Preprint, Department of Computer Science, University of California, Davis, Mar., 2017, Online copy1, Online copy2.
- [Bailey:2017:JBC] David H. Bailey, "Jonathan Borwein Commemorative Conference[: 25--29 September 2017 in Newcastle, NSW, Australia]," Jun., 2017, Online copy1.
- [Bailey:2017:JBEa] David H. Bailey, "Jonathan Borwein: Experimental Mathematician," Report, Department of Computer Science, University of California, Davis, Jan., 2017, Online copy1, Online copy2.
- [Bailey:2017:JBEb] David H. Bailey, "Jonathan Borwein: Experimental Mathematician,"
*Experimental Mathematics*, vol. 26, no. 2, 2017, pg. 125--129, DOI, Online copy1. - [Bailey:2017:RCS] David H. Bailey and Jonathan M. Borwein and Richard P. Brent and Mohsen Reisi, "Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi,"
*Experimental Mathematics*, vol. 26, no. 3, 2017, pg. 298--305, DOI, Online copy1. - [Bailey:2017:RJB] David H. Bailey, "Report on the Jon Borwein remembrance day meeting in Paris [10 February 2017]," Feb., 2017, Online copy1.
- [Borwein:2017:CLA] Jonathan M. Borwein and Neil J. Calkin and Scott B. Lindstrom and Andrew Mattingly, "Continued Logarithms and Associated Continued Fractions,"
*Experimental Mathematics*, vol. 26, no. 4, 2017, pg. 412--429, DOI, Online copy1. - [Borwein:2017:CRA] Jonathan M. Borwein and Guoyin Li and Matthew K. Tam, "Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems,"
*SIAM Journal on Optimization*, vol. 27, no. 1, Jan., 2017, pg. 1--33, DOI. - [Ganz:2017:RRC] Reinhard E. Ganz, "Reply to ``Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi'' [Bailey et al. 17],"
*Experimental Mathematics*, vol. 26, no. 3, 2017, pg. 306--307, DOI, Online copy1. - [Swedroe:2017:SGF] Larry Swedroe, "Swedroe: Grading The Forecasters," Jul., 2017, Online copy1.
- [Wuppuluri:2017:STL] Shyam Wuppuluri and Giancarlo Ghirardi,
*Space, Time, and the Limits of Human Understanding*, Springer-Verlag, Berlin, Germany/ Heidelberg, Germany/ London, UK/ etc., 2017, pg. xxiv + 530.