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Career Summary

Qualifications

  • Doctor of Philosophy, University of Oxford - UK, 31/12/1974
  • Master of Science (Accounting), University of Oxford - UK, 31/12/1972
  • Bachelor of Arts (Mathematics), University of Western Ontario - Canada, 31/12/1971

Research

Research keywords

  • Classical Analysis
  • Computer Algebra
  • Convex Analysis
  • Entropy Optimization
  • Functional Analysis
  • Mathematical Programming
  • Nonsmooth Analysis
  • Nonsmooth Optimization
  • Numerical Analysis

Research expertise

Pure Mathematics - Analysis, Functional Analysis

Applied Mathematics - Optimisation

Computational mathematics - Numerical and computational analysis

High performance computing

Collaborative mathematics

Fields of Research

CodeDescriptionPercentage
010108Operator Algebras And Functional Analysis75
010299Applied Mathematics Not Elsewhere Classified15
010399Numerical And Computational Mathematics Not Elsewhere Classified10

Memberships

Learned Academy.

  • Fellow (Australian Academy of Science)

Teaching

Teaching keywords

  • Classical Analysis
  • Computer Algebra
  • Convex Analysis
  • Entropy Optimization
  • Functional Analysis
  • Mathematical Programming
  • Nonsmooth Optimization
  • Nonsmooth analysis
  • Numerical Analysis
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Publications

For publications that are currently unpublished or in-press, details are shown in italics.

Click on a category title below to expand the list of citations for that specific category.

Book (16 outputs)

YearCitationAltmetricsLink
2013Borwein JM, Glasser ML, McPhedran RC, Wan JG, Zucker IJ, Lattice sums then and now, Cambridge University Press, Cambridge, 368 (2013) [A2]
2013Borwein JM, Zudilin W, Shparlinski I, Number Theory and Related Fields: In Memory of Alf van der Poorten (2013) [A3]
2012Bailey DH, Borwein JM, Exploratory Experimentation in Mathematics: Selected Works, Perfectly Scientific Press, Portland, OR, 364 (2012) [A2]
2012Borwein JM, Skerritt MP, An Introduction to Modern Mathematical Computing with Mathematica, Springer, New York, 224 (2012) [A2]
2011Borwein JM, Skerritt MP, An Introduction to Modern Mathematical Computing: With Maple, Springer, New York, 216 (2011) [A2]
2011Borwein JM, Devlin K, Experimentelle Mathematik: Eine beispielorientierte Einfuhrung, Spektrum Akademischer Verlag, Heidelberg, DE, 158 (2011) [A4]
2010Borwein JM, Vanderwerff JD, Convex Functions: Constructions, Characterizations and Counterexamples, Cambridge University Press, Cambridge, 521 (2010) [A1]
2009Borwein JM, Devlin K, The Computer as Crucible: An Introduction to Experimental Mathematics, A K Peters, Natick, 158 (2009) [A1]
2008Borwein J, David B, Mathematics by Experiment: Plausible Reasoning in the 21st Century, A K Peters, Natick, Massachusetts, United States, 288 (2008) [A1]
2008Borwein JM, Rocha EM, Rodrigues JF, Communicating Mathematics in the Digital Era, A. K. Peters, Wellesley, MA, 325 (2008) [A3]
2007Bailey DH, Borwein JM, Calkin NJ, Girgensohn R, Luke DR, Moll V, Experimental mathematics in action, A K Peters, Natick, Massachusetts, United States, 322 (2007) [A1]
2006Borwein JM, Lewis AS, Convex analysis and nonlinear optimization : theory and examples, Springer, Berlin, Germany, 310 (2006) [A1]
2005Borwein JM, Zhu QJ, Techniques of variational analysis, Springer, Berlin, Germany, 366 (2005) [A1]
2004Borwein JM, Bailey DH, Girgensohn R, Experimentation in mathematics : computational paths to discovery, A K Peters Ltd., Natick, Massachusetts, United States, 357 (2004) [A1]
2004Berggren L, Borwein J, Borwein P, Pi: a Source Book, Springer, New York, United States, 797 (2004) [A1]
2002Borwein J, Morales MH, Polthier K, Multimedia tools for communicating mathematics, Springer, Berlin, Germany, 314 (2002) [A3]
Show 13 more

Chapter (6 outputs)

YearCitationAltmetricsLink
2013Bailey DH, Borwein JM, 'Normal Numbers and Pseudorandom Generators', Computational and Analytical Mathematics, Springer, New York 1-18 (2013) [B1]
2013Borwein JM, Yao L, Burachik RS, 'Monotone Operators Without Enlargements', Computational and Analytical Mathematics, Springer, New York 79-103 (2013) [B1]
2012Borwein JM, 'Exploratory experimentation: Digitally-assisted discovery and proof', Proof and Proving in Mathematics Education: The 19th ICMI Study, Springer, Dordrecht 69-96 (2012) [B1]
2011Borwein JM, Sims B, 'The Douglas-Rachford algorithm in the absence of convexity', Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, New York 93-109 (2011) [B1]
2011Borwein JM, Luke DR, 'Entropic Regularization of the l(0) Function', Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, New York 65-92 (2011) [B1]
2008Borwein JM, Jungic V, Langstroth D, Macklem M, Wilson S, 'Coast-to-coast (C2C) seminar: Background, history, and practice', Communicating Mathematics in the Digital Era, A K Peters, Natick 127-140 (2008) [B1]
Show 3 more

Journal article (357 outputs)

YearCitationAltmetricsLink
2014Borwein JM, Tam MK, 'A Cyclic Douglas-Rachford Iteration Scheme', JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 160 1-29 (2014) [C1]
2014Borwein JM, Li G, Yao L, 'ANALYSIS OF THE CONVERGENCE RATE FOR THE CYCLIC PROJECTION ALGORITHM APPLIED TO BASIC SEMIALGEBRAIC CONVEX SETS', SIAM JOURNAL ON OPTIMIZATION, 24 498-527 (2014) [C1]
2014Bailey DH, Borwein JM, Kaiser AD, 'Automated simplification of large symbolic expressions', JOURNAL OF SYMBOLIC COMPUTATION, 60 120-136 (2014) [C1]
2014Bailey DH, Borwein JM, de Prado ML, Zhu QJ, 'Pseudo-mathematics and financial charlatanism: The effects of backtest overfitting on out-of-sample performance', Notices of the American Mathematical Society, 61 458-471 (2014)
2014Borwein JM, Yao L, 'Some results on the convexity of the closure of the domain of a maximally monotone operator', Optimization Letters, 8 237-246 (2014)
2014Borwein JM, Yao L, 'Legendre-Type Integrands and Convex Integral Functions', JOURNAL OF CONVEX ANALYSIS, 21 261-288 (2014)
2014Borwein JM, Yao L, 'Sum theorems for maximally monotone operators of type (FPV)', Journal of the Australian Mathematical Society, 97 1-26 (2014)
2014Borwein D, Borwein JM, Straub A, 'On lattice sums and Wigner limits', Journal of Mathematical Analysis and Applications, 414 489-513 (2014)
2014Borwein JM, 'Experimental computation and visual theorems', Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 8592 LNCS 1-8 (2014)
2014Borwein J, Howlett P, Piantadosi J, 'Modelling and simulation of seasonal rainfall using the principle of maximum entropy', Entropy, 16 747-769 (2014)
2014Bailey DH, Borwein JM, Crandall RE, 'COMPUTATION AND THEORY OF EXTENDED MORDELL-TORNHEIM-WITTEN SUMS', MATHEMATICS OF COMPUTATION, 83 1795-1821 (2014)
2014Bailey DH, Borwein J, 'Pi Day Is Upon Us Again and We Still Do Not Know if Pi Is Normal', AMERICAN MATHEMATICAL MONTHLY, 121 191-206 (2014)
2014Borwein JM, Yao L, Burachik RS, 'Conditions for zero duality gap in convex programming', Journal of Nonlinear and Convex Analysis, 15 167-190 (2014)
2014Borwein JM, Sims B, Tam MK, 'Norm convergence of realistic projection and reflection methods', Optimization, (2014)
2014Borwein D, Borwein JM, Sims B, 'On the Solution of Linear Mean Recurrences', AMERICAN MATHEMATICAL MONTHLY, 121 486-498 (2014)
2013Bailey DH, Borwein JM, Mattingly A, Wightwick G, 'The computation of previously inaccessible digits of p and Catalan's constant', Notices of the American Mathematical Society, 60 844-854 (2013) [C1]
2013Bailey DH, Borwein JM, Crandall RE, Zucker IJ, 'Lattice sums arising from the Poisson equation', Journal of Physics A: Mathematical and Theoretical, 46 (2013) [C1]
2013Artacho FJA, Borwein JM, 'Global convergence of a non-convex Douglas-Rachford iteration', JOURNAL OF GLOBAL OPTIMIZATION, 57 753-769 (2013) [C1]
2013Borwein JM, Yao L, 'Maximality of the Sum of a Maximally Monotone Linear Relation and a Maximally Monotone Operator', SET-VALUED AND VARIATIONAL ANALYSIS, 21 603-616 (2013) [C1]
2013Borwein JM, Straub A, 'Mahler measures, short walks and log-sine integrals', THEORETICAL COMPUTER SCIENCE, 479 4-21 (2013) [C1]
2013Artacho FJA, Bailey DH, Borwein JM, Borwein PB, 'Walking on Real Numbers', MATHEMATICAL INTELLIGENCER, 35 42-60 (2013) [C1]
2013Bauschke HH, Borwein JM, Wang X, Yao L, 'Monotone Operators and "Bigger Conjugate" Functions', JOURNAL OF CONVEX ANALYSIS, 20 143-155 (2013) [C1]
2013Borwein JM, Straub A, Wan J, 'Three-Step and Four-Step Random Walk Integrals', Experimental Mathematics, 22 1-14 (2013) [C1]
2013Bailey DH, Borwein JM, Crandall RE, Rose MG, 'Expectations on fractal sets', APPLIED MATHEMATICS AND COMPUTATION, 220 695-721 (2013) [C1]
2013Borwein JM, Crandall RE, 'Closed Forms: What they are and why we care', Notices of the American Mathematical Society, 60 50-65 (2013) [C1]
2013Bailey DH, Borwein JM, 'Compressed lattice sums arising from the Poisson equation', BOUNDARY VALUE PROBLEMS, (2013) [C1]
2013Aragón Artacho FJ, Borwein JM, Tam MK, 'Recent Results on Douglas¿Rachford Methods', Serdica Mathematical Journal, 39 313-330 (2013) [C1]
2013Borwein JM, Yao L, 'Structure Theory for Maximally Monotone Operators with Points of Continuity', Journal of Optimization Theory and Applications, 157 1-24 (2013) [C1]
2013Borwein JM, Zhu QJ, ' Variational methods in the presence of symmetry', Advances in Nonlinear Analysis, 2 (2013) [C1]
2013Aragón Artacho FJ, Borwein JM, Tam MK, 'Recent Results on Douglas-Rachford Methods for Combinatorial Optimization Problems', Journal of Optimization Theory and Applications, 1-30 (2013)
2013Aragón Artacho FJ, Borwein JM, Yao L, Martín-Márquez V, 'Applications of convex analysis within mathematics', Mathematical Programming, 1-40 (2013)
2013Borwein JM, Straub A, 'Relations for Nielsen polylogarithms', Journal of Approximation Theory, (2013)
2013Borwein JM, Zudilin W, Sparlinski I, 'Preface', Springer Proceedings in Mathematics and Statistics, 43 (2013)
2012Borwein JM, 'Ramanujan and Pi', American Mathematical Society. Notices, 59 1534-1537 (2012) [C1]
2012Amdeberhan T, Borwein D, Borwein JM, Straub A, 'On formulas for Pi experimentally conjectured by Jauregui-Tsallis', Journal of Mathematical Physics, 53 (2012) [C1]
2012Bauschke HH, Borwein JM, Wang X, Yao L, 'The Brezis-Browder Theorem in a general Banach space', Journal of Functional Analysis, 262 4948-4971 (2012) [C1]
2012Wang XF, Yao L, Bauschke HH, Borwein JM, 'Construction of pathological maximally monotone operators on non-reflexive Banach spaces', Set-Valued and Variational Analysis, 20 387-415 (2012) [C1]
2012Borwein JM, Straub A, 'Log-sine evaluations of Mahler measures', Journal of the Australian Mathematical Society, 92 15-36 (2012) [C1]
2012Borwein D, Borwein JM, Straub A, Wan G, 'Log-sine evaluations of Mahler measures, II', Integers, 12 1179-1212 (2012) [C1]
2012Bailey DH, Barrio R, Borwein JM, 'High-precision computation: Mathematical physics and dynamics', Applied Mathematics and Computation, 218 10106-10121 (2012) [C1]
2012Borwein D, Borwein JM, Straub A, 'A sinc that sank', American Mathematical Monthly, 119 535-549 (2012) [C1]
2012Bailey DH, Borwein JM, 'Ancient Indian square roots: An exercise in forensic paleo-mathematics', American Mathematical Monthly, 119 646-657 (2012) [C1]
2012Borwein JM, Vanderwerff J, 'Constructions of uniformly convex functions', Canadian Mathematical Bulletin, 55 697-707 (2012) [C1]
2012Bailey DH, Borwein JM, Calude CS, Dinneen MJ, Dumitrescu M, Yee A, 'An empirical approach to the normality of p', Experimental Mathematics, 21 375-384 (2012) [C1]
2012Bailey DH, Borwein JM, 'Nonnormality of Stoneham constants', Ramanujan Journal, 29 409-422 (2012) [C1]
2012Bauschke HH, Borwein JM, Wang X, Yao L, 'Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type', Optimization Letters, 6 1875-1881 (2012) [C1]
2012Bailey DH, Borwein D, Borwein JM, 'On Eulerian log-gamma integrals and Tornheim-Witten zeta functions', Ramanujan Journal, 1-26 (2012) [C1]
2012Borwein JM, 'Maximum entropy and feasibility methods for convex and nonconvex inverse problems', Optimization, 61 1-33 (2012) [C1]
2012Bailey DH, Borwein JM, 'Hand-to-hand combat with thousand-digit integrals', Journal of Computational Science, 3 77-86 (2012) [C1]
2012Piantadosi J, Howlett P, Borwein JM, 'Copulas with maximum entropy', Optimization Letters, 6 99-125 (2012) [C1]
2012Piantadosi J, Howlett P, Borwein J, Henstridge J, 'Maximum entropy methods for generating simulated rainfall', Numerical Algebra, Control and Optimization, 2 233-256 (2012) [C1]
2012Borwein JM, Straub A, Wan G, Zudilin V, 'Densities of short uniform random walks', Canadian Journal of Mathematics, 64 961-990 (2012) [C1]
2012Borwein JM, Jungic V, 'Organic mathematics then and now', Notices of the AMS, 59 416-419 (2012) [C2]
2012Borwein JM, Osborn J-AH, 'Loving and Hating Mathematics by Reuben Hersh and Vera John-Steiner [Book Review]', The Mathematical Intelligencer, 33 63-69 (2012) [C3]
2012Borwein JM, Borwein P, Jungic V, 'Remote collaboration: Six years of the Coast-to-Coast Seminar Series', Science Communication, 34 419-428 (2012) [C3]
2012Borwein JM, Osborn J-AH, 'Response to 'Experimental Approaches to Theoretical Thinking: Artefacts and Proofs Proof and Proving in Mathematics Education'', Proof and Proving in Mathematics Education: The 19th ICMI Study, 15 138-143 (2012) [C3]
2012Alladi K, Andrews GE, Borwein JM, 'Preface. Ramanujan's 125th Anniversary Special Volume', Ramanujan Journal, 29 1-2 (2012) [C3]
2011Bailey DH, Borwein JM, 'Exploratory experimentation and computation', Notices of the American Mathematical Society, 58 1410-1419 (2011) [C1]
2011Borwein JM, Reich S, Sabach S, 'A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept', Journal of Nonlinear and Convex Analysis, 12 161-184 (2011) [C1]
2011Bacak M, Borwein JM, 'On difference convexity of locally Lipschitz functions', Optimization, 60 961-978 (2011) [C1]
2011Borwein JM, Nuyens D, Straub A, Wan G, 'Some arithmetic properties of short random walk integrals', Ramanujan Journal, 26 109-132 (2011) [C1]
2011Bailey DH, Borwein JM, 'High-precision numerical integration: Progress and challenges', Journal of Symbolic Computation, 46 741-754 (2011) [C1]
2011Borwein D, Borwein JM, Glasser ML, Wan G, 'Moments of Ramanujan's generalized elliptic integrals and extensions of Catalan's constant', Journal of Mathematical Analysis and Applications, 384 478-496 (2011) [C1]
2011Borwein JM, 'Review: Dontchev, A.L. and Rockafellar, R.T, Implicit Functions and Solution Mappings', IEEE Control Systems, 31 74-77 (2011) [C3]
2011Borwein JM, Osborn J-A, 'Review: Hersh, R. and John-Steiner, V. Loving and Hating Mathematics', Mathematical Intelligencer, 33 63-69 (2011) [C3]
2011Borwein JM, Straub A, 'Special Values of Generalized Log-sine Integrals', CoRR, abs/1103.4298 (2011)
2010Borwein D, Borwein JM, Leonard IE, 'Lp norms and the sine function', American Mathematical Monthly, 117 528-539 (2010) [C1]
2010Bailey DH, Borwein JM, 'Experimental computation with oscillatory integrals', Contemporary Mathematics, 517 25-40 (2010) [C1]
2010Borwein JM, Morrs WB, 'Stability of closedness of convex cones under linear mappings II', Journal of Nonlinear Analysis and Optimization: Theory and Applications, 1 1-7 (2010) [C1]
2010Bailey DH, Borwein JM, Crandall RE, 'Advances in the theory of box integrals', Mathematics of Computation, 79 1839-1866 (2010) [C1]
2010Borwein JM, Chan O-Y, Crandall RE, 'Higher-dimensional box integrals', Experimental Mathematics, 19 431-446 (2010) [C1]
2010Borwein JM, Chan O-Y, 'Duality in tails of multiple-zeta values', International Journal of Number Theory, 6 501-514 (2010) [C1]
2010Borwein JM, Vanderwerff J, 'Frechet-legendre functions and reflexive banach spaces', Journal of Convex Analysis, 17 915-924 (2010) [C1]
2010Bailey DH, Borwein JM, Broadhurst D, Zudilin V, 'Experimental mathematics and mathematical physics', Contemporary Mathematics, 517 41-58 (2010) [C1]

Co-authors: Wadim Zudilin

2010Bacak M, Borwein JM, Eberhard A, Mordukhovich BS, 'Infimal convolutions and lipschitzian properties of subdifferentials for prox-regular functions in hilbert spaces', Journal of Convex Analysis, 17 737-763 (2010) [C1]
2010Borwein JM, 'Fifty years of maximal monotonicity', Optimization Letters, 4 473-490 (2010) [C1]
2009Bailey DH, Borwein JM, 'Experimental mathematics and computational statistics', WIREs Computational Statistics, 1 12-24 (2009) [C1]
2009Borwein JM, Calkin NJ, Manna D, 'Euler-Boole Summation Revisited', AMERICAN MATHEMATICAL MONTHLY, 116 387-412 (2009) [C1]
2009Borwein JM, Moors WB, 'Stability of closedness of convex cones under linear mappings', Journal of Convex Analysis, 16 699-705 (2009) [C1]
2009Borwein JM, Guirao AJ, Hajek P, Vanderwerff J, 'Uniformly convex functions on Banach Spaces', Proceedings of the American Mathematical Society, 137 1081-1091 (2009) [C1]
2009Borwein JM, Chan O-Y, 'UNIFORM BOUNDS FOR THE COMPLEMENTARY INCOMPLETE GAMMA FUNCTION', MATHEMATICAL INEQUALITIES & APPLICATIONS, 12 115-121 (2009) [C1]
2009Bailey DH, Borwein JM, Crandall RE, 'Resolution of the Quinn-Rand-Strogatz Constant of nonlinear physics', Experimental Mathematics, 18 107-116 (2009) [C1]
2009Borwein JM, Vanderwerff J, 'Differentiability of conjugate functions and perturbed minimization principles', Journal of Convex Analysis, 16 707-711 (2009) [C1]
2009Borwein JM, 'The Princeton companion to mathematics', SIAM Review, 51 790-794 (2009) [C3]
2008Baillie R, Borwein D, Borwein JM, 'Some sinc sums and integrals', American Mathematical Monthly, 115 888-901 (2008) [C1]
2008Borwein JM, Salvy B, 'A Proof of a Recurrence for Bessel Moments.', Experimental Mathematics, 17 223-230 (2008) [C1]
2008Borwein D, Borwein JM, Crandall RE, 'EFFECTIVE LAGUERRE ASYMPTOTICS', SIAM JOURNAL ON NUMERICAL ANALYSIS, 46 3285-3312 (2008) [C1]
2008Borwein D, Borwein JM, Chan O-Y, 'The evaluation of Bessel functions via exp-arc integrals', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 341 478-500 (2008) [C1]
2008Baillie R, Borwein D, Borwein JM, 'Surprising Sinc Sums and Integrals', AMERICAN MATHEMATICAL MONTHLY, 115 888-901 (2008) [C1]
2008Eberhard AC, Borwein JM, 'Second order cones for maximal monotone operators via representative functions', SET-VALUED ANALYSIS, 16 157-184 (2008) [C1]
2008Borwein JM, Zucker IJ, Boersma J, 'The evaluation of character Euler double sums', RAMANUJAN JOURNAL, 15 377-405 (2008) [C1]
2008Bailey DH, Borwein JM, Broadhurst D, Glasser ML, 'Elliptic integral evaluations of Bessel moments and applications', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41 (2008) [C1]
2008Borwein JM, Salvy B, 'A proof of a recurrence for Bessel moments', EXPERIMENTAL MATHEMATICS, 17 223-230 (2008) [C1]
2008Borwein JM, Luke DR, 'Dynamics of a Ramanujan-type continued fraction with cyclic coefficients', RAMANUJAN JOURNAL, 16 285-304 (2008) [C1]
2008Borwein JM, 'Hilbert's inequality and Witten's zeta-function', AMERICAN MATHEMATICAL MONTHLY, 115 125-137 (2008) [C1]
2007Borwein JM, 'Maximality of sums of two maximal monotone operators in general banach space', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 135 3917-3924 (2007) [C1]
2007Borwein D, Borwein J, Crandall R, Mayer R, 'On the dynamics of certain recurrence relations', RAMANUJAN JOURNAL, 13 63-101 (2007) [C1]
2007Bauschke HH, Borwein JM, Wang X, 'Fitzpatrick functions and continuous linear monotone operators', SIAM JOURNAL ON OPTIMIZATION, 18 789-809 (2007) [C1]
2007Borwein JM, 'Proximality and Chebyshev sets', OPTIMIZATION LETTERS, 1 21-32 (2007) [C1]
2007Borwein J, Wiersma H, 'Asplund decomposition of monotone operators', SIAM JOURNAL ON OPTIMIZATION, 18 946-960 (2007) [C1]
2007Bailey DH, Borwein JM, Crandall RE, 'Box integrals', JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 206 196-208 (2007) [C1]
2007Bailey DH, Borwein D, Borwein JM, Crandall RE, 'Hypergeometric forms for ising-class integrals', EXPERIMENTAL MATHEMATICS, 16 257-276 (2007) [C1]
2007Bartz S, Bauschke HH, Borwein JM, Reich S, Wang X, 'Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 66 1198-1223 (2007) [C1]
2007Borwein JM, Chamberland M, 'Integer powers of Arcsin', International Journal of Mathematics and Mathematical Sciences, 2007 1-10 (2007) [C1]
2007Borwein D, Borwein J, 'van der pol expansions of L-series', CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 50 11-23 (2007) [C1]
2007Borwein JM, 'A class of Dirichlet series integrals', AMERICAN MATHEMATICAL MONTHLY, 114 70-76 (2007) [C1]
2007Bailey D, Borwein J, Bradley D, 'A hypergeometric identity', AMERICAN MATHEMATICAL MONTHLY, 114 643-645 (2007)
2007Borwein JM, Langstroth D, Macklem M, Wilson S, Jungic V, 'The coast-to-coast seminar and remote mathematical collaboration', Proceedings - International Symposium on High Performance Computing Systems and Applications, (2007)
2007Borwein JM, Moors WB, 'Non-smooth Analysis, Optimisation Theory and Banach Space Theory', Open Problems in Topology II, 549-559 (2007)
2006Bailey DH, Borwein JM, Bradley DM, 'Experimental determination of Apery-like identities for zeta(2n+2)', EXPERIMENTAL MATHEMATICS, 15 281-289 (2006) [C1]
2006Borwein JM, 'Maximality of sums of two maximal monotone operators', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134 2951-2955 (2006) [C1]
2006Borwein JM, 'The Life of Simon Fitzpatrick, 1953-2004', Journal of Convex Analysis, 13 463-476 (2006) [C1]
2006Borwein JM, Bradley DM, 'Thirty-two goldbach variations', INTERNATIONAL JOURNAL OF NUMBER THEORY, 2 65-103 (2006) [C1]
2006Borwein D, Borwein JM, Bradley DM, 'Parametric Euler sum identities', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 316 328-338 (2006) [C1]
2006Bailey DH, Borwein JM, Crandall RE, 'Integrals of the Ising class', JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 39 12271-12302 (2006) [C1]
2006Borwein J, Montesinos V, Vanderwerff J, 'Boundedness, differentiability and extensions of convex functions', JOURNAL OF CONVEX ANALYSIS, 13 587-602 (2006) [C1]
2006Borwein JM, 'Maximal monotonicity via convex analysis', JOURNAL OF CONVEX ANALYSIS, 13 561-586 (2006) [C1]
2006Bailey DH, Borwein JM, Kapoor V, Weisstein EW, 'Ten problems in experimental mathematics', AMERICAN MATHEMATICAL MONTHLY, 113 481-509 (2006) [C1]
2006Borwein JM, Zhu QJJ, 'Variational methods in convex analysis', JOURNAL OF GLOBAL OPTIMIZATION, 35 197-213 (2006) [C1]
2006Borwein J, 'Simon Fitzpatrick memorial volume', JOURNAL OF CONVEX ANALYSIS, 13 463-476 (2006)
2006Bailey DH, Borwein JM, 'Effective bounds in Euler-Maclaurin-based quadrature (summary for HPCS06)', 20th International Symposium on High-Performance Computing in an Advanced Collaborative Environment, 2006. HPCS 2006, 34-34 (2006)
2005Borwein JM, Luke DR, 'Dynamics of a continued fraction of Ramanujan with random coefficients', ABSTRACT AND APPLIED ANALYSIS, 449-467 (2005) [C1]
2005Borwein JM, Girgensohn R, 'Evaluations of binomial series', Aequationes Mathematicae, 70 25-36 (2005) [C1]
2005Borwein JM, Wang XF, 'Cone-monotone functions: Differentiability and continuity', CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 57 961-982 (2005) [C1]
2005Bailey DH, Borwein JM, 'Experimental mathematics: Examples, methods and implications', Notices of the American Mathematical Society, 52 502-514 (2005) [C1]
2005Borwein JM, Wang XF, 'Lipschitz functions with maximal Clarke subdifferentials are staunch', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 72 491-496 (2005) [C1]
2005Borwein J, Stanway T, 'Knowledge and community in mathematics', MATHEMATICAL INTELLIGENCER, 27 7-16 (2005) [C1]
2005Borwein JM, 'The experimental mathematician: The pleasure of discovery and the role of proof', International Journal of Computers for Mathematical Learning, 10 75-108 (2005) [C1]
2005Borwein JM, Choi KKS, Pigulla W, 'Continued fractions of tails of hypergeometric series', AMERICAN MATHEMATICAL MONTHLY, 112 493-501 (2005) [C1]
2005Borwein JM, 'The SIAM 100 Digits Challenge', The Mathematical Intelligencer, 27 40-48 (2005) [C3]
2004Borwein J, Crandall R, Fee G, 'On the Ramanujan AGM fraction, I: The real-parameter case', EXPERIMENTAL MATHEMATICS, 13 275-285 (2004) [C1]
2004Borwein JM, Burke JV, Lewis AS, 'Differentiability of cone-monotone functions on separable Banach space', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 132 1067-1076 (2004) [C1]
2004Borwein J, Cheng LX, Fabian M, Revalski JP, 'A one perturbation variational principle and applications', SET-VALUED ANALYSIS, 12 49-60 (2004) [C1]
2004Bailey D, Borwein JM, Crandall R, Pomerance C, 'On the binary expansions of algebraic numbers', Journal de Theorie des Nombres de Bordeaux, 16 487-518 (2004) [C1]
2004Borwein JM, Borwein D, Galway WF, 'Finding and excluding b-ary Machin-type individual digit formulae', CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 56 897-925 (2004) [C1]
2004Borwein JM, Vanderwerff JD, 'Constructible convex sets', SET-VALUED ANALYSIS, 12 61-77 (2004) [C1]
2004Borwein J, Crandall R, 'On the Ramanujan AGM fraction, II: The complex- parameter case', EXPERIMENTAL MATHEMATICS, 13 287-295 (2004) [C1]
2003Borwein J, FItzpatrick S, Girgensohn R, 'Subdifferentials whose graphs are not normxweak* closed', CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 46 538-545 (2003) [C1]
2003Borwein J, Choksi R, Marechal P, 'Probability distributions of assets inferred from option prices via the principle of maximum entropy', SIAM JOURNAL ON OPTIMIZATION, 14 464-478 (2003) [C1]
2003Borwein JM, Vanderwerff J, Wang XF, 'Local Lipschitz-constant functions and maximal subdifferentials', SET-VALUED ANALYSIS, 11 37-67 (2003) [C1]
2003Borwein JM, Choi KKS, 'On Dirichlet series for sums of squares', RAMANUJAN JOURNAL, 7 95-127 (2003) [C1]
2003Bauschke HH, Borwein JM, Combettes PL, 'Bregman monotone optimization algorithms', SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 42 596-636 (2003) [C1]
2003Benoist J, Borwein JM, Popovici N, 'A characterization of quasiconvex vector-valued functions', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 131 1109-1113 (2003) [C1]
2003Borwein J, Girgensohn R, 'A class of exponential inequalities', MATHEMATICAL INEQUALITIES & APPLICATIONS, 6 397-411 (2003) [C1]
2003Borwein JM, Goebel R, 'Notions of Relative Interior in Banach spaces', Journal of Mathematical Sciences: a translation of selected Russian-language serial publications in mathematics, 115 2542-2553 (2003) [C1]
2003Kellar M, MacKay B, Zhang R, Watters C, Kaufman D, Borwein J, 'Dynamic composition of math lessons', EDUCATIONAL TECHNOLOGY & SOCIETY, 6 100-111 (2003) [C1]
2003Borwein JM, Dontchev AL, 'On the Bartle-Graves theorem', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 131 2553-2560 (2003) [C1]
2003Borwein D, Borwein JM, Rooin J, 'Problem 11009.', The American Mathematical Monthly, 110 341-341 (2003)
2002Borwein JM, Vanderwerff JD, 'On the continuity of biconjugate convex functions', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 130 1797-1803 (2002)
2002Borwein J, Giles J, Vanderwerff J, 'Rotund norms, Clarke subdifferentials and extensions of Lipschitz functions', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 48 287-301 (2002)
2002Borwein JM, Jimenez-Sevilla M, Moreno JP, 'Antiproximinal norms in Banach spaces', JOURNAL OF APPROXIMATION THEORY, 114 57-69 (2002)
2002Borwein JM, Fabian M, Loewen PD, 'The range of the gradient of a Lipschitz C-1-smooth bump in infinite dimensions', ISRAEL JOURNAL OF MATHEMATICS, 132 239-251 (2002)
2002Borwein JM, Zhu QJ, 'A survey of subdifferential calculus with applications (vol 38, pg 687, 1999)', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 49 295-296 (2002)
2002Borwein D, Borwein JM, Mares BA, 'Multi-variable sinc integrals and volumes of polyhedra', RAMANUJAN JOURNAL, 6 189-208 (2002)
2001Borwein JM, Vanderwerff JD, 'Convex functions of Legendre type in general Banach spaces', JOURNAL OF CONVEX ANALYSIS, 8 569-581 (2001)
2001Borwein JM, 'Generalized trigonometric functions', AMERICAN MATHEMATICAL MONTHLY, 108 473-474 (2001)
2001Borwein JM, Broadhurst DJ, Kamnitzer J, 'Central binomial sums, multiple Clausen values, and zeta values', EXPERIMENTAL MATHEMATICS, 10 25-34 (2001)
2001Borwein JM, Borwein PB, 'Challenges in mathematical computing', COMPUTING IN SCIENCE & ENGINEERING, 3 48-53 (2001)
2001Borwein JM, Moors WB, Wang XF, 'Generalized subdifferentials: A Baire categorical approach', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 353 3875-3893 (2001)
2001Borwein D, Borwein J, Fee G, Girgensohn R, 'Refined convexity and special cases of the Blaschke-Santalo inequality', MATHEMATICAL INEQUALITIES & APPLICATIONS, 4 631-638 (2001)
2001Borwein JM, Bradley DM, Broadhurst DJ, Lisonek P, 'Special values of multiple polylogarithms', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 353 907-941 (2001)
2001Borwein D, Borwein JM, 'Some remarkable properties of sinc and related integrals', RAMANUJAN JOURNAL, 5 73-89 (2001)
2001Borwein J, Kortezov I, 'Some generic results on nonattaining functionals', SET-VALUED ANALYSIS, 9 35-47 (2001)
2001Bauschke HH, Borwein JM, 'Joint and separate convexity of the bregman distance', Studies in Computational Mathematics, 8 23-36 (2001)
2001Bauschke HH, Borwein JM, Combettes PL, 'Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces', COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 3 615-647 (2001)
2001Borwein JM, Fitzpatrick SP, 'Duality inequalities and sandwiched functions', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 46 365-380 (2001)
2000Borwein JM, Marechal P, Naugler D, 'A convex dual approach to the computation of NMR complex spectra', MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 51 91-102 (2000)
2000Borwein J, Choi KKS, 'On the representations of xy plus yz plus zx', EXPERIMENTAL MATHEMATICS, 9 153-158 (2000)
2000Borwein D, Borwein JM, Marechal P, 'Surprise maximization', AMERICAN MATHEMATICAL MONTHLY, 107 517-527 (2000)
2000Bauschke HH, Borwein JM, Tseng P, 'Bounded linear regularity, strong CHIP, and CHIP are distinct properties', JOURNAL OF CONVEX ANALYSIS, 7 395-412 (2000)
2000Borwein JM, Wang XF, 'Lipschitz functions with maximal Clarke subdifferentials are generic', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 128 3221-3229 (2000)
2000Borwein JM, Bradley DM, Crandall RE, 'Computational strategies for the Riemann zeta function', JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 121 247-296 (2000)
2000Borwein J, Lucet Y, Mordukhovich B, 'Compactly epi-Lipschitzian convex sets and functions in normed spaces', JOURNAL OF CONVEX ANALYSIS, 7 375-393 (2000)
2000Borwein JM, Moors WB, 'Separable determination of integrability and minimality of the Clarke subdifferential mapping', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 128 215-221 (2000)
2000Borwein JM, 'Moments of the Poisson distribution', AMERICAN MATHEMATICAL MONTHLY, 107 659-659 (2000)
1999Borwein JM, Zhu QJJ, 'A survey of subdifferential calculus with applications', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 38 687-773 (1999)
1999Borwein JM, Corless RM, 'Emerging tools for experimental mathematics', AMERICAN MATHEMATICAL MONTHLY, 106 889-909 (1999)
1999Bauschke HH, Borwein JM, '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, 189 1-20 (1999)
1999Marechal P, Togane D, Celler A, Borwein JM, 'Assessment of the performance of reconstruction processes for computed tomography', IEEE Nuclear Science Symposium and Medical Imaging Conference, 2 1353-1357 (1999)
1999Borwein JM, Treiman JS, Zhu QJJ, 'Partially smooth variational principles and applications', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 35 1031-1059 (1999)
1999Bauschke HH, Noll D, Celler A, Borwein JM, 'An EM algorithm for dynamic SPECT', IEEE TRANSACTIONS ON MEDICAL IMAGING, 18 252-261 (1999)
1999Borwein JM, Mordukhovich BS, Shao YH, 'On the equivalence of some basic principles in variational analysis', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 229 228-257 (1999)
1999Marechal P, Togane D, Celler A, Borwein JM, 'Computation and stability analysis for regularized tomographic reconstructions', IEEE TRANSACTIONS ON NUCLEAR SCIENCE, 46 2177-2184 (1999)
1999Bauschke HH, Borwein JM, Li W, 'Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization', MATHEMATICAL PROGRAMMING, 86 135-160 (1999)
1999Borwein J, Moors WB, Shao Y, 'Subgradient representation of multifunctions', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 40 301-313 (1999)
1998Borwein JM, Moors WB, 'Null sets and essentially smooth Lipschitz functions', SIAM JOURNAL ON OPTIMIZATION, 8 309-323 (1998)
1998Borwein JM, Zhu QJ, 'Limiting convex examples for nonconvex subdifferential calculus', Journal of Convex Analysis, 5 221-235 (1998)
1998Borwein JM, Jofre A, 'A nonconvex separation property in Banach spaces', MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 48 169-179 (1998)
1998Borwein JM, 'Brouwer-Heyting sequences converge', MATHEMATICAL INTELLIGENCER, 20 14-15 (1998)
1998Borwein JM, Moors WB, 'A chain rule for essentially smooth Lipschitz functions', SIAM JOURNAL ON OPTIMIZATION, 8 300-308 (1998)
1998Borwein JM, Treiman JS, Zhu QJ, 'Necessary conditions for constrained optimization problems with semicontinuous and continuous data', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 350 2409-2429 (1998)
1998Borwein D, Borwein JM, Pinner C, 'Convergence of Madelung-like lattice sums', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 350 3131-3167 (1998)
1998Borwein JM, Girgensohn R, Wang XF, 'On the construction of holder and proximal subderivatives', CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 41 497-507 (1998)
1998Borwein JM, 'A generalization of Young's l(p) equality', MATHEMATICAL INEQUALITIES & APPLICATIONS, 1 131-136 (1998)
1998Borwein JM, Wang XF, 'The converse of the mean value theorem may fail generically', AMERICAN MATHEMATICAL MONTHLY, 105 847-848 (1998)
1998Borwein JM, Bradley DM, Broadhurst DJ, Lisonek P, 'Combinatorial aspects of multiple zeta values', Electronic Journal of Combinatorics, 5 (1998)
1997Borwein JM, Moors WB, 'Essentially smooth Lipschitz functions', JOURNAL OF FUNCTIONAL ANALYSIS, 149 305-351 (1997)
1997Borwein JM, Wang XF, 'Distinct differentiable functions may share the same Clarke subdifferential at all points', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 125 807-813 (1997)
1997Bailey DH, Borwein JM, Crandall RE, 'On the Khintchine constant', MATHEMATICS OF COMPUTATION, 66 417-431 (1997)
1997Borwein JM, Bradley DM, Broadhurst DJ, 'Evaluations of k-fold Euler/Zagier sums: A compendium of results for arbitrary k', Electronic Journal of Combinatorics, 4 1-21 (1997)
1997Bauschke HH, Borwein JM, 'Legendre functions and the method of random bregman projections', Journal of Convex Analysis, 4 27-67 (1997)
1997Borwein JM, Moors WB, Wang XF, 'Lipschitz functions with prescribed derivatives and subderivatives', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 29 53-63 (1997)
1997Borwein JM, Zhu QJJ, 'Variational analysis in nonreflexive spaces and applications to control problems with L(1) perturbations', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 28 889-915 (1997)
1997Borwein J, Vanderwerff J, 'Convex functions on Banach spaces not containing l(1)', CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 40 10-18 (1997)
1997Borwein J, Monagan M, 'A note from the editors - Winter 1997, Vol 4, No 1', MAPLETECH, 4 1-1 (1997)
1997Borwein JM, Sun W, 'The stability analysis of dynamic SPECT systems', NUMERISCHE MATHEMATIK, 77 283-298 (1997)
1997Borwein JM, Lisonek P, Macdonald JA, 'Arithmetic-geometric means revisited', MAPLETECH, 4 20-27 (1997)
1997Borwein J, Monagan M, 'Differential equations in Maple: A short tutorial', MAPLETECH, 4 55-58 (1997)
1997Bailey DH, Borwein JM, Borwein PB, Plouffe S, 'The quest for Pi', MATHEMATICAL INTELLIGENCER, 19 50-57 (1997)
1997Borwein J, Bradley D, ' Empirically Determined Apéry-Like Formulae for ¿(4n+3)', Experimental Mathematics, 6 181-194 (1997)
1996Borwein JM, Zhu QJ, 'Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity', SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 34 1568-1591 (1996)
1996Borwein J, Borwein P, Girgensohn R, Parnes S, 'Making sense of experimental mathematics', MATHEMATICAL INTELLIGENCER, 18 12-18 (1996)
1996Borwein JM, Girgensohn R, 'Evaluation of triple Euler sums', Electronic Journal of Combinatorics, 3 1-27 (1996)
1996Borwein JM, Vanderwerff JD, 'Epigraphical and uniform convergence of convex functions', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 348 1617-1631 (1996)
1996Borwein JM, Ioffe A, 'Proximal analysis in smooth spaces', SET-VALUED ANALYSIS, 4 1-24 (1996)
1996Borwein D, Borwein JM, Borwein PB, Girgensohn R, 'Giuga's conjecture on primality', AMERICAN MATHEMATICAL MONTHLY, 103 40-50 (1996)
1996Borwein D, Borwein JM, Wang XF, 'Approximate subgradients and coderivatives in R(n)', SET-VALUED ANALYSIS, 4 375-398 (1996)
1996Borwein JM, Lewis AS, Noll D, 'Maximum entropy reconstruction using derivative information .1. Fisher information and convex duality', MATHEMATICS OF OPERATIONS RESEARCH, 21 442-468 (1996)
1996Bauschke HH, Borwein JM, 'Projection algorithms for solving convex feasibility problems', SIAM REVIEW, 38 367-426 (1996)
1996Borwein JM, Vanderwerff JD, 'Banach spaces that admit support sets', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 124 751-755 (1996)
1995BORWEIN D, BORWEIN JM, 'ON AN INTRIGUING INTEGRAL AND SOME SERIES RELATED TO ZETA(4)', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 123 1191-1198 (1995)
1995BORWEIN D, BORWEIN JM, GIRGENSOHN R, 'EXPLICIT EVALUATION OF EULER SUMS', PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 38 277-294 (1995)
1995Limber MA, Limber MN, Celler A, Barney JS, Borwein JM, 'Direct reconstruction of functional parameters for dynamic SPECT', IEEE Transactions on Nuclear Science, 42 1249-1256 (1995)
1995BORWEIN JM, VANDERWERFF JD, 'CONVERGENCE OF LIPSCHITZ REGULARIZATIONS OF CONVEX-FUNCTIONS', JOURNAL OF FUNCTIONAL ANALYSIS, 128 139-162 (1995)
1995BORWEIN JM, HUANG WZ, 'A FAST HEURISTIC METHOD FOR POLYNOMIAL MOMENT PROBLEMS WITH BOLTZMANN-SHANNON ENTROPY', SIAM JOURNAL ON OPTIMIZATION, 5 68-99 (1995)
1995BORWEIN JM, GIRGENSOHN R, 'ADDITION THEOREMS AND BINARY EXPANSIONS', CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 47 262-273 (1995)
1995BORWEIN JM, LEWIS AS, LIMBER MN, NOLL D, 'MAXIMUM-ENTROPY RECONSTRUCTION USING DERIVATIVE INFORMATION .2. COMPUTATIONAL RESULTS', NUMERISCHE MATHEMATIK, 69 243-256 (1995)
1994BORWEIN D, BORWEIN JM, 'ON SOME TRIGONOMETRIC AND EXPONENTIAL LATTICE SUMS', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 188 209-218 (1994)
1994Bailey DH, Borwein JM, Girgensohn R, ' Experimental Evaluation of Euler Sums', Experimental Mathematics, 3 17-30 (1994)
1994BAUSCHKE HH, BORWEIN JM, 'DYKSTRA ALTERNATING PROJECTION ALGORITHM FOR 2 SETS', JOURNAL OF APPROXIMATION THEORY, 79 418-443 (1994)
1994BORWEIN JM, NOLL D, '2ND-ORDER DIFFERENTIABILITY OF CONVEX-FUNCTIONS IN BANACH-SPACES', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 342 43-81 (1994)
1994BORWEIN JM, BORWEIN PB, GARVAN FG, 'SOME CUBIC MODULAR IDENTITIES OF RAMANUJAN', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 343 35-47 (1994)
1994BORWEIN JM, HSU LC, MABRY R, NEU K, ROPPERT J, TYLER DB, DEWEGER BMM, 'NEAREST INTEGER ZETA-FUNCTIONS', AMERICAN MATHEMATICAL MONTHLY, 101 579-580 (1994)
1994BORWEIN JM, FABIAN M, 'A NOTE ON REGULARITY OF SETS AND OF DISTANCE FUNCTIONS IN BANACH-SPACE', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 182 566-570 (1994)
1994BORWEIN JM, LEWIS AS, NUSSBAUM RD, 'ENTROPY MINIMIZATION, DAD PROBLEMS, AND DOUBLY STOCHASTIC KERNELS', JOURNAL OF FUNCTIONAL ANALYSIS, 123 264-307 (1994)
1994Borwein JM, Huang W, 'Uniform convergence for moment problems with Fermi-Dirac type entropies', ZOR Zeitschrift für Operations Research Mathematical Methods of Operations Research, 40 239-252 (1994)
1994BORWEIN JM, LEWIS AS, LIMBER MA, 'ENTROPY MINIMIZATION WITH LATTICE BOUNDS', JOURNAL OF APPROXIMATION THEORY, 79 1-16 (1994)
1994BORWEIN JM, LEWIS AS, 'STRONG ROTUNDITY AND OPTIMIZATION', SIAM JOURNAL ON OPTIMIZATION, 4 146-158 (1994)
1994BORWEIN J, VANDERWERFF J, 'DUAL KADEC-KLEE NORMS AND THE RELATIONSHIPS BETWEEN WIJSMAN, SLICE, AND MOSCO CONVERGENCE', MICHIGAN MATHEMATICAL JOURNAL, 41 371-387 (1994)
1993BORWEIN JM, BORWEIN PB, 'ON THE GENERATING FUNCTION OF THE INTEGER PART - [N-ALPHA+GAMMA]', JOURNAL OF NUMBER THEORY, 43 293-318 (1993)
1993BEER G, BORWEIN JM, 'MOSCO AND SLICE CONVERGENCE OF LEVEL SETS AND GRAPHS OF LINEAR FUNCTIONALS', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 175 53-67 (1993)
1993BORWEIN JM, FABIAN M, 'ON GENERIC 2ND-ORDER GATEAUX DIFFERENTIABILITY', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 20 1373-1382 (1993)
1993BORWEIN JM, ZHUANG D, 'SUPER EFFICIENCY IN VECTOR OPTIMIZATION', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 338 105-122 (1993)
1993BORWEIN J, BORWEIN P, 'PI IN THE SKY - COUNTING, THINKING, AND BEING - BARROW,JD', SCIENCE, 259 1928-1930 (1993)
1993Borwein JM, Lewis AS, 'Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces', Set-Valued Analysis, 1 355-363 (1993)
1993BORWEIN JM, FITZPATRICK S, 'A WEAK HADAMARD SMOOTH RENORMING OF L(1)(NU,MU)', CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 36 407-413 (1993)
1993BORWEIN JM, 'ON THE FAILURE OF MAXIMUM-ENTROPY RECONSTRUCTION FOR FREDHOLM EQUATIONS AND OTHER INFINITE SYSTEMS', MATHEMATICAL PROGRAMMING, 61 251-261 (1993)
1993BORWEIN JM, BORWEIN PB, 'INEQUALITIES FOR COMPOUND MEAN ITERATIONS WITH LOGARITHMIC ASYMPTOTES', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 177 572-582 (1993)
1993BORWEIN JM, FABIAN M, 'ON CONVEX-FUNCTIONS HAVING POINTS OF GATEAUX DIFFERENTIABILITY WHICH ARE NOT POINTS OF FRECHET DIFFERENTIABILITY', CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 45 1121-1134 (1993)
1993HIRSCHHORN M, GARVAN F, BORWEIN J, 'CUBIC ANALOGS OF THE JACOBIAN THETA-FUNCTION THETA(Z,Q)', CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 45 673-694 (1993)
1993Bauschke HH, Borwein JM, 'On the convergence of von Neumann's alternating projection algorithm for two sets', Set-Valued Analysis, 1 185-212 (1993)
1993BORWEIN J, BORWEIN P, GARVAN F, 'HYPERGEOMETRIC ANALOGS OF THE ARITHMETIC GEOMETRIC MEAN ITERATION', CONSTRUCTIVE APPROXIMATION, 9 509-523 (1993)
1993BORWEIN JM, BORWEIN PB, 'CLASS NUMBER 3 RAMANUJAN TYPE SERIES FOR 1/PI', JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 46 281-290 (1993)
1992BORWEIN JM, THERA M, 'SANDWICH THEOREMS FOR SEMICONTINUOUS OPERATORS', CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 35 463-474 (1992)
1992BORWEIN JM, LEWIS AS, 'PARTIALLY FINITE CONVEX-PROGRAMMING .2. EXPLICIT LATTICE MODELS', MATHEMATICAL PROGRAMMING, 57 49-83 (1992)
1992BORWEIN J, REICH S, SHAFRIR I, 'KRASNOSELSKI-MANN ITERATIONS IN NORMED SPACES', CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 35 21-28 (1992)
1992BORWEIN JM, ZUCKER IJ, 'FAST EVALUATION OF THE GAMMA FUNCTION FOR SMALL RATIONAL FRACTIONS USING COMPLETE ELLIPTIC INTEGRALS OF THE 1ST KIND', IMA JOURNAL OF NUMERICAL ANALYSIS, 12 519-526 (1992)
1992BORWEIN JM, LEWIS AS, 'DECOMPOSITION OF MULTIVARIATE FUNCTIONS', CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 44 463-482 (1992)
1992BORWEIN J, LOU S, 'ASYMPTOTICS OF A SEQUENCE OF WITT VECTORS', JOURNAL OF APPROXIMATION THEORY, 69 326-337 (1992)
1992BORWEIN JM, BORWEIN PB, 'STRANGE SERIES AND HIGH-PRECISION FRAUD', AMERICAN MATHEMATICAL MONTHLY, 99 622-640 (1992)
1992BORWEIN JM, LEWIS AS, 'PARTIALLY FINITE CONVEX-PROGRAMMING .1. QUASI RELATIVE INTERIORS AND DUALITY-THEORY', MATHEMATICAL PROGRAMMING, 57 15-48 (1992)
1991BORWEIN JM, BORWEIN PB, 'A CUBIC COUNTERPART OF JACOBIS IDENTITY AND THE AGM', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 323 691-701 (1991)
1991BORWEIN D, BORWEIN J, 'FIXED-POINT ITERATIONS FOR REAL FUNCTIONS', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 157 112-126 (1991)
1991BORWEIN JM, BORWEIN PB, 'THE MAN WHO KNEW INFINITY - A LIFE OF THE INDIAN GENIUS RAMANUJAN - KANIGEL,R', SCIENCE, 253 334-335 (1991)
1991BORWEIN JM, LEWIS AS, 'ON THE CONVERGENCE OF MOMENT PROBLEMS', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 325 249-271 (1991)
1991BORWEIN J, FITZPATRICK S, KENDEROV P, 'MINIMAL CONVEX USCOS AND MONOTONE-OPERATORS ON SMALL SETS', CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 43 461-476 (1991)
1991BORWEIN JM, DEBARRA G, 'NESTED RADICALS', AMERICAN MATHEMATICAL MONTHLY, 98 735-739 (1991)
1991Borwein JM, Zhuang DM, 'Super efficiency in convex vector optimization', ZOR Zeitschrift für Operations Research Methods and Models of Operations Research, 35 175-184 (1991)
1991BORWEIN JM, LEWIS AS, 'DUALITY RELATIONSHIPS FOR ENTROPY-LIKE MINIMIZATION PROBLEMS', SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 29 325-338 (1991)
1990BORWEIN JM, BORWEIN PB, 'A REMARKABLE CUBIC MEAN ITERATION', LECTURE NOTES IN MATHEMATICS, 1435 27-31 (1990)
1990BEER G, BORWEIN JM, 'MOSCO CONVERGENCE AND REFLEXIVITY', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 109 427-436 (1990)
1989BORWEIN JM, FITZPATRICK S, 'EXISTENCE OF NEAREST POINTS IN BANACH-SPACES', CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 41 702-720 (1989)
1989BORWEIN D, BORWEIN JM, SHAIL R, 'ANALYSIS OF CERTAIN LATTICE SUMS', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 143 126-137 (1989)
1989BORWEIN J, FITZPATRICK S, 'LOCAL BOUNDEDNESS OF MONOTONE-OPERATORS UNDER MINIMAL HYPOTHESES', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 39 439-441 (1989)
1989BORWEIN JM, FITZPATRICK S, 'MOSCO CONVERGENCE AND THE KADEC PROPERTY', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 106 843-851 (1989)
1989BORWEIN JM, BORWEIN PB, BAILEY DH, 'RAMANUJAN, MODULAR EQUATIONS, AND APPROXIMATIONS TO PI OR HOW TO COMPUTE ONE BILLION DIGITS OF PI', AMERICAN MATHEMATICAL MONTHLY, 96 201-219 (1989)
1989BORWEIN JM, BORWEIN PB, DILCHER K, 'PI, EULER NUMBERS, AND ASYMPTOTIC EXPANSIONS', AMERICAN MATHEMATICAL MONTHLY, 96 681-687 (1989)
1989BORWEIN JM, STROJWAS HM, 'THE HYPERTANGENT CONE', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 13 125-144 (1989)
1989BORWEIN JM, DEMPSTER MAH, 'THE LINEAR ORDER COMPLEMENTARITY-PROBLEM', MATHEMATICS OF OPERATIONS RESEARCH, 14 534-558 (1989)
1989BORWEIN JM, BORWEIN PB, 'APPROXIMATING PI WITH RAMANUJAN MODULAR EQUATIONS', ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 19 93-102 (1989)
1989BORWEIN JM, BORWEIN PB, 'ON THE MEAN ITERATION (A,B)[-(A+3B/4 SQUARE ROOT AB+B/2)', MATHEMATICS OF COMPUTATION, 53 311-326 (1989)
1988BENTAL A, BORWEIN JM, TEBOULLE M, 'A DUAL APPROACH TO MULTIDIMENSIONAL LP SPECTRAL ESTIMATION PROBLEMS', SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 26 985-996 (1988)
1988BARZILAI J, BORWEIN JM, '2-POINT STEP SIZE GRADIENT METHODS', IMA JOURNAL OF NUMERICAL ANALYSIS, 8 141-148 (1988)
1988BORWEIN D, BORWEIN JM, SHAIL R, ZUCKER IJ, 'ENERGY OF STATIC ELECTRON LATTICES', JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 21 1519-1531 (1988)
1988BORWEIN JM, 'A NATURAL LIMIT', AMERICAN MATHEMATICAL MONTHLY, 95 557-558 (1988)
1988BORWEIN JM, ZHUANG DM, 'VERIFIABLE NECESSARY AND SUFFICIENT CONDITIONS FOR OPENNESS AND REGULARITY OF SET-VALUED AND SINGLE-VALUED MAPS', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 134 441-459 (1988)
1988BORWEIN JM, BORWEIN PB, 'ON THE COMPLEXITY OF FAMILIAR FUNCTIONS AND NUMBERS', SIAM REVIEW, 30 589-601 (1988)
1988BORWEIN JM, BORWEIN PB, 'RAMANUJAN AND PI', SCIENTIFIC AMERICAN, 258 112-& (1988)
1987WARD DE, BORWEIN JM, 'NONSMOOTH CALCULUS IN FINITE DIMENSIONS', SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 25 1312-1340 (1987)
1987BORWEIN JM, PREISS D, 'A SMOOTH VARIATIONAL PRINCIPLE WITH APPLICATIONS TO SUBDIFFERENTIABILITY AND TO DIFFERENTIABILITY OF CONVEX-FUNCTIONS', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 303 517-527 (1987)
1987BORWEIN JM, 'AUTOMATIC-CONTINUITY AND OPENNESS OF CONVEX RELATIONS', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 99 49-55 (1987)
1987BORWEIN JM, BORWEIN PB, 'EXPLICIT RAMANUJAN-TYPE APPROXIMATIONS TO PI OF HIGH-ORDER', PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 97 53-59 (1987)
1987BORWEIN JM, 'EPI-LIPSCHITZ-LIKE SETS IN BANACH-SPACE - THEOREMS AND EXAMPLES', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 11 1207-1217 (1987)
1987BORWEIN JM, BORWEIN PB, 'THE WAY OF ALL MEANS', AMERICAN MATHEMATICAL MONTHLY, 94 519-522 (1987)
1987Giles JR, 'The differentiability of real functions on normed linear space using generalized subgradients', J.Math.Anal. and Appl., 128 512-534 (1987)
1987BORWEIN JM, STROJWAS HM, 'PROXIMAL ANALYSIS AND BOUNDARIES OF CLOSED-SETS IN BANACH-SPACE .2. APPLICATIONS', CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 39 428-472 (1987)
1987BORWEIN JM, GILES J, 'THE PROXIMAL NORMAL FORMULA IN BANACH-SPACE', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 302 371-381 (1987)
1986BORWEIN JM, 'STABILITY AND REGULAR POINTS OF INEQUALITY SYSTEMS', JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 48 9-52 (1986)
1986BORWEIN JM, BORWEIN PB, 'MORE QUADRATICALLY CONVERGING ALGORITHMS FOR PI', MATHEMATICS OF COMPUTATION, 46 247-253 (1986)
1986BORWEIN JM, WOLKOWICZ H, 'A SIMPLE CONSTRAINT QUALIFICATION IN INFINITE DIMENSIONAL PROGRAMMING', MATHEMATICAL PROGRAMMING, 35 83-96 (1986)
1986BORWEIN D, BORWEIN JM, 'A NOTE ON ALTERNATING SERIES IN SEVERAL DIMENSIONS', AMERICAN MATHEMATICAL MONTHLY, 93 531-539 (1986)
1986BORWEIN JM, 'PARTIALLY MONOTONE-OPERATORS AND THE GENERIC DIFFERENTIABILITY OF CONVEX CONCAVE AND BICONVEX MAPPINGS', ISRAEL JOURNAL OF MATHEMATICS, 54 42-50 (1986)
1986BORWEIN JM, ZHUANG D, 'ON FAN MINIMAX THEOREM', MATHEMATICAL PROGRAMMING, 34 232-234 (1986)
1986BORWEIN JM, BORWEIN PB, 'AN EXPLICIT CUBIC ITERATION ITERATION FOR PI', BIT, 26 123-126 (1986)
1986JAGERS AA, BORWEIN JM, 'REGULAR N AND 2K-N-GONS INSCRIBED IN A UNIT-CIRCLE', AMERICAN MATHEMATICAL MONTHLY, 93 304-304 (1986)
1986BORWEIN JM, 'GENERIC DIFFERENTIABILITY OF ORDER-BOUNDED CONVEX OPERATORS', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 28 22-29 (1986)
1986BORWEIN JM, STROJWAS HM, 'PROXIMAL ANALYSIS AND BOUNDARIES OF CLOSED-SETS IN BANACH-SPACE, .1. THEORY', CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 38 431-452 (1986)
1986BORWEIN JM, 'NORM DUALITY FOR CONVEX PROCESSES AND APPLICATIONS', JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 48 53-64 (1986)
1985BORWEIN J, 'SOME MODULAR IDENTITIES OF RAMANUJAN USEFUL IN APPROXIMATING PI', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 95 365-371 (1985)
1985BORWEIN D, BORWEIN JM, TAYLOR KF, 'CONVERGENCE OF LATTICE SUMS AND MADELUNG CONSTANT', JOURNAL OF MATHEMATICAL PHYSICS, 26 2999-3009 (1985)
1985BORWEIN JM, STROJWAS HM, 'TANGENTIAL APPROXIMATIONS', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 9 1347-1366 (1985)
1985BORWEIN J, 'AN EXTENSION OF HADAMARD INEQUALITY', AMERICAN MATHEMATICAL MONTHLY, 92 148-149 (1985)
1985BORWEIN JM, 'ALTERNATIVE THEOREMS FOR GENERAL COMPLEMENTARITY-PROBLEMS', LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS, 259 194-203 (1985)
1985BORWEIN JM, TINGLEY DW, 'ON SUPPORTLESS CONVEX-SETS', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 94 471-476 (1985)
1984BORWEIN JM, NIEUWENHUIS JW, '2 KINDS OF NORMALITY IN VECTOR OPTIMIZATION', MATHEMATICAL PROGRAMMING, 28 185-191 (1984)
1984BORWEIN JM, STROJWAS HM, 'DIRECTIONALLY LIPSCHITZIAN MAPPINGS ON BAIRE SPACES', CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 36 95-130 (1984)
1984BORWEIN JM, SIMS B, 'NON-EXPANSIVE MAPPINGS ON BANACH-LATTICES AND RELATED TOPICS', HOUSTON JOURNAL OF MATHEMATICS, 10 339-356 (1984)
1984BORWEIN JM, BORWEIN PB, 'THE ARITHMETIC-GEOMETRIC MEAN AND FAST COMPUTATION OF ELEMENTARY-FUNCTIONS', SIAM REVIEW, 26 351-366 (1984)
1984BORWEIN JM, PENOT JP, THERA M, 'CONJUGATE CONVEX OPERATORS', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 102 399-414 (1984)
1984BORWEIN JM, YOST DT, 'ABSOLUTE NORMS ON VECTOR LATTICES', PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 27 215-222 (1984)
1984BORWEIN JM, BORWEIN PB, 'CUBIC AND HIGHER-ORDER ALGORITHMS FOR PI', CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 27 436-443 (1984)
1984BORWEIN JM, 'GENERALIZED LINEAR COMPLEMENTARITY-PROBLEMS TREATED WITHOUT FIXED-POINT THEORY', JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 43 343-356 (1984)
1984BORWEIN JM, 'AN INTEGRAL CHARACTERIZATION OF EUCLIDEAN-SPACE', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 29 357-364 (1984)
1984BORWEIN JM, RICHMOND B, 'HOW MANY MATRICES HAVE ROOTS', CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 36 286-299 (1984)
1983BORWEIN JM, 'SEMI-INFINITE PROGRAMMING DUALITY - HOW SPECIAL IS IT', LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS, 215 10-36 (1983)
1983BORWEIN JM, 'ADJOINT PROCESS DUALITY', MATHEMATICS OF OPERATIONS RESEARCH, 8 403-434 (1983)
1983BORWEIN JM, 'ON THE EXISTENCE OF PARETO EFFICIENT POINTS', MATHEMATICS OF OPERATIONS RESEARCH, 8 64-73 (1983)
1983BORWEIN JM, BORWEIN PB, 'A VERY RAPIDLY CONVERGENT PRODUCT EXPANSION FOR PI', BIT, 23 538-540 (1983)
1983BORWEIN JM, 'COMPLETENESS AND THE CONTRACTION PRINCIPLE', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 87 246-250 (1983)
1982BORWEIN JM, 'ON THE HAHN-BANACH EXTENSION PROPERTY', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 86 42-46 (1982)
1982BORWEIN JM, 'A NOTE ON EPSILON-SUBGRADIENTS AND MAXIMAL MONOTONICITY', PACIFIC JOURNAL OF MATHEMATICS, 103 307-314 (1982)
1982BORWEIN JM, 'A NOTE ON THE EXISTENCE OF SUB-GRADIENTS', MATHEMATICAL PROGRAMMING, 24 225-228 (1982)
1982Borwein JM, 'NOTE ON THE EXISTENCE OF SUBGRADIENTS.', Mathematical Programming, 24 225-228 (1982)
1982BORWEIN JM, WOLKOWICZ H, 'CHARACTERIZATIONS OF OPTIMALITY WITHOUT CONSTRAINT QUALIFICATION FOR THE ABSTRACT CONVEX PROGRAM', MATHEMATICAL PROGRAMMING STUDY, 19 77-100 (1982)
1982BORWEIN JM, 'NECESSARY AND SUFFICIENT CONDITIONS FOR QUADRATIC MINIMALITY', NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 5 127-140 (1982)
1982BORWEIN JM, STYAN GPH, FOSTER LV, WOLKOWICZ H, 'SOME INEQUALITIES INVOLVING STATISTICAL EXPRESSIONS', SIAM REVIEW, 24 340-342 (1982)
1982BORWEIN JM, 'CONTINUITY AND DIFFERENTIABILITY PROPERTIES OF CONVEX OPERATORS', PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 44 420-444 (1982)
1981BORWEIN JM, 'DIRECT THEOREMS IN SEMI-INFINITE CONVEX-PROGRAMMING', MATHEMATICAL PROGRAMMING, 21 301-318 (1981)
1981BORWEIN JM, 'A LAGRANGE MULTIPLIER THEOREM AND A SANDWICH THEOREM FOR CONVEX RELATIONS', MATHEMATICA SCANDINAVICA, 48 189-204 (1981)
1981BORWEIN JM, WOLKOWICZ H, 'CHARACTERIZATION OF OPTIMALITY FOR THE ABSTRACT CONVEX PROGRAM WITH FINITE DIMENSIONAL RANGE', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 30 390-411 (1981)
1981BORWEIN JM, 'THE LIMITING LAGRANGIAN AS A CONSEQUENCE OF HELLY THEOREM', JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 33 497-513 (1981)
1981BORWEIN JM, WOLKOWICZ H, 'FACIAL REDUCTION FOR A CONE-CONVEX PROGRAMMING PROBLEM', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 30 369-380 (1981)
1981BORWEIN J, WOLKOWICZ H, 'REGULARIZING THE ABSTRACT CONVEX PROGRAM', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 83 495-530 (1981)
1980BORWEIN J, KEENER L, 'THE HAUSDORFF METRIC AND CEBYSEV CENTERS', JOURNAL OF APPROXIMATION THEORY, 28 366-376 (1980)
1980BORWEIN JM, 'A NOTE ON PERFECT DUALITY AND LIMITING LAGRANGEANS', MATHEMATICAL PROGRAMMING, 18 330-337 (1980)
1980BORWEIN JM, 'A STRONG DUALITY THEOREM FOR THE MINIMUM OF A FAMILY OF CONVEX-PROGRAMS', JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 31 453-472 (1980)
1980GRIPENBERG G, WILANSKY A, JOYNER D, ROUSH F, WALSH B, BORWEIN J, 'RANGES IN BANACH-SPACES', AMERICAN MATHEMATICAL MONTHLY, 87 68-68 (1980)
1980BORWEIN JM, 'LEXICOGRAPHIC MULTIPLIERS', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 78 309-327 (1980)
1979BORWEIN JM, 'MULTIVALUED APPROACH TO THE FARKAS-LEMMA', MATHEMATICAL PROGRAMMING STUDY, 10 42-47 (1979)
1979BORWEIN JM, 'WEAK LOCAL SUPPORTABILITY AND APPLICATIONS TO APPROXIMATION', PACIFIC JOURNAL OF MATHEMATICS, 82 323-338 (1979)
1978BORWEIN J, 'WEAK TANGENT CONES AND OPTIMIZATION IN A BANACH-SPACE', SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 16 512-522 (1978)
1978BORWEIN JM, 'STRONGLY EXPOSING FUNCTIONALS', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 69 46-48 (1978)
1977BORWEIN J, EDELSTEIN M, OBRIEN R, 'SOME REMARKS ON VISIBILITY AND STARSHAPE', JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 15 342-344 (1977)
1977BORWEIN J, 'PROPER EFFICIENT POINTS FOR MAXIMIZATIONS WITH RESPECT TO CONES', SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 15 57-63 (1977)
1977BORWEIN J, 'MULTIVALUED CONVEXITY AND OPTIMIZATION - UNIFIED APPROACH TO INEQUALITY AND EQUALITY CONSTRAINTS', MATHEMATICAL PROGRAMMING, 13 183-199 (1977)
1976BORWEIN J, EDELSTEIN M, OBRIEN R, 'VISIBILITY AND STARSHAPE', JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 14 313-318 (1976)
1976BORWEIN JM, 'FRACTIONAL PROGRAMMING WITHOUT DIFFERENTIABILITY', MATHEMATICAL PROGRAMMING, 11 283-290 (1976)
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Conference (28 outputs)

YearCitationAltmetricsLink
2013Borwein JM, 'Keynote Lecture: Entropy and Projection Methods for (Non-)Convex Programming', MaxEnt 2013: 33rd International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering Abstracts, Canberra (2013) [E3]
2013Borwein JM, Rose M, Bailey D, Crandall R, 'Expectations on fractal sets', Proceedings of the 49th ANZIAM Conference, Newcastle, NSW (2013) [E3]
2011Borwein JM, Straub A, 'Special values of generalized log-sine integrals', Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, ISSAC 2011, San Jose, CA (2011) [E1]
2011Henstridge J, Piantadosi J, Howlett P, Borwein JM, 'Generation of simulated rainfall data at different time-scales', MODSIM 2011: 19th International Congress on Modelling and Simulation Proceedings, Perth, WA (2011) [E1]
2010Borwein JM, Sciffer SD, 'An explicit non-expansive function whose subdifferential is the entire dual ball', Nonlinear Analysis and Optimization : A Conference in Celebration of Alex Ioffe's 70th and Simeon Reich's 60th birthdays, June 18-24, 2008, Haifa, Israel, Haifa, Israel (2010) [E1]
2010Borwein JM, Wan J, Nuyens D, Straub A, 'Random walks in the plane', FPSAC'10 - 22nd International Conference on Formal Power Series and Algebraic Combinatorics (2010) [E1]
2010Borwein JM, 'Future Challenges for Variational Analysis', VARIATIONAL ANALYSIS AND GENERALIZED DIFFERENTIATION IN OPTIMIZATION AND CONTROL: IN HONOR OF BORIS S. MORDUKHOVICH, Natl Sun Yat-Sen Univ, Dept Appl Math, Kaohsiung, TAIWAN (2010) [E1]
2009Borwein JM, 'Digitally-assisted discovery and proof', Proof and Proving in Mathematics Education: ICMI Study 19 Conference Proceedings, Taipei, Taiwan (2009) [E1]
2009Borwein JM, Hamilton CH, 'Symbolic Fenchel conjugation', MATHEMATICAL PROGRAMMING, Univ Chile, Santiago, CHILE (2009) [E1]
2008Bailey DH, Borwein JM, 'Computer-assisted discovery and proof', TAPAS IN EXPERIMENTAL MATHEMATICS, New Orleans, LA (2008) [E1]
2006Borwein JM, Hamilton CH, 'Symbolic computation of multidimensional fenchel conjugates', Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC (2006) [E1]
2006Borwein JM, 'Aesthetics for the working mathematician', Mathematics and the Aesthetic: New Approaches to and Ancient Affinity, Queens Univ, Kingston, CANADA (2006)
2005Borwein JM, Karamanos K, 'Algebraic dynamics of certain gamma function values', GENERALIZED CONVEXITY, GENERALIZED MONOTONICITY AND APPLICATIONS, Hanoi, VIETNAM (2005)
2004Borwein JM, Choi KKS, 'Dirichet series for squares of sums of squares: A summary', NUMBER THEORY, Univ Montreal, Ctr Rech Math, Montreal, CANADA (2004)
2003Borwein J, Stanway T, 'Managing digital mathematical discourse', MATHEMATICAL KNOWLEDGE MANAGEMENT, PROCEEDINGS, BERTINORO, ITALY (2003) [E1]
2003Kellar M, Mackay B, Zhang R, Watters C, Kaufman D, Borwein JM, 'Architecture to support dynamic composition of math lesson plans', Proceedings of the 2003 ACM symposium on Applied computing, Melbourne, Australia (2003) [E1]
2002Borwein JM, 'The experimental mathematician: A computational guide to the mathematical unknown', MATHEMATICAL SOFTWARE, PROCEEDINGS, Beijing, PEOPLES R CHINA (2002)
2000Borwein JM, Lisonek P, 'Applications of integer relation algorithms', DISCRETE MATHEMATICS, UNIV VIENNA, VIENNA, AUSTRIA (2000)
1999Borwein JM, Zhu QJ, 'Multifunctional and functional analytic techniques in nonsmooth analysis', NONLINEAR ANALYSIS, DIFFERENTIAL EQUATIONS AND CONTROL, MONTREAL, CANADA (1999)
1995Borwein JM, 'A survey of examples of convex functions and classifications of normed spaces', RECENT DEVELOPMENTS IN OPTIMIZATION, DIJON, FRANCE (1995)
1995BAILEY DH, BORWEIN JM, GIRGENSOHN R, 'FINDING NEW MATHEMATICAL IDENTITIES WITH SUPERCOMPUTERS', PROCEEDINGS OF THE SEVENTH SIAM CONFERENCE ON PARALLEL PROCESSING FOR SCIENTIFIC COMPUTING, SAN FRANCISCO, CA (1995)
1995LIMBER MA, LIMBER MN, CELLER A, BARNEY JS, BORWEIN JM, 'DIRECT RECONSTRUCTION OF FUNCTIONAL PARAMETERS FOR DYNAMIC SPECT', IEEE TRANSACTIONS ON NUCLEAR SCIENCE, NORFOLK, VA (1995)
1994LIMBER MA, LIMBER MN, CELLER A, BARNEY JS, BORWEIN JM, 'Direct reconstruction of functional parameters for dynamic SPECT', NUCLEAR SCIENCE SYMPOSIUM & MEDICAL IMAGING CONFERENCE - 1994 IEEE CONFERENCE RECORD, VOLS 1-4, NORFOLK, VA (1994)
1994BORWEIN JM, ZHU QJ, 'CONTROL PROBLEMS WITH L(1) PERTURBATIONS AND VARIATIONAL ANALYSIS IN NON-REFLEXIVE SPACES', PROCEEDINGS OF THE 33RD IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, LAKE BUENA VISTA, FL (1994)
1993BORWEIN JM, LEWIS AS, 'A SURVEY OF CONVERGENCE RESULTS FOR MAXIMUM-ENTROPY METHODS', MAXIMUM ENTROPY AND BAYESIAN METHODS, CNRS, PARIS, FRANCE (1993)
1991BORWEIN JM, 'MINIMAL CUSCOS AND SUBGRADIENTS OF LIPSCHITZ FUNCTIONS', FIXED POINT THEORY AND APPLICATIONS, CTR INT RECONTRES MATH, MARSEILLE, FRANCE (1991)
1991BORWEIN JM, LEWIS AS, 'PRACTICAL CONDITIONS FOR FENCHEL DUALITY IN INFINITE DIMENSIONS', FIXED POINT THEORY AND APPLICATIONS, CTR INT RECONTRES MATH, MARSEILLE, FRANCE (1991)
1990BORWEIN JM, BORWEIN PB, 'A REMARKABLE CUBIC MEAN ITERATION', COMPUTATIONAL METHODS AND FUNCTION THEORY, VALPARAISO, CHILE (1990)
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Grants and Funding

Summary

Number of grants10
Total funding$2,246,625

- Indicates that the researcher may be seeking students for this project.

Click on a grant title below to expand the full details for that specific grant.

2014 (1 grants)

Exploratory Experimentation and Computation in the Mathematical Sciences: Theory and Practice$415,000
Funding Body: ARC (Australian Research Council)

Project Team
Laureate Professor Jon Borwein, Conjoint Professor Richard Brent, Dr David Bailey
SchemeRole
Discovery ProjectsChief Investigator
Total AmountFunding StartFunding Finish
$415,00020142016
GNo:G1300158

2012 (3 grants)

Structured barrier and penalty functions in infinite dimensional optimization and analysis$390,000
Funding Body: ARC (Australian Research Council)

Project Team
Laureate Professor Jon Borwein, Professor Andrew Eberhard, Professor Adrian Lewis, Associate Professor Brailey Sims, Professor Qiji Zhu
SchemeRole
Discovery ProjectsChief Investigator
Total AmountFunding StartFunding Finish
$390,00020122014
GNo:G1100082

Project EVA: an environmentally responsible facility for interdisciplinary supercomputing applications$263,000
Funding Body: University of Newcastle

Faculty Visiting Fellowship 2012$4,664
Funding Body: University of Newcastle - Faculty of Science & IT

Project Team
Laureate Professor Jon Borwein
SchemeRole
Visiting FellowshipChief Investigator
Total AmountFunding StartFunding Finish
$4,66420122012
GNo:G1401121

2011 (2 grants)

Flexible architecture High Performance Computing facility for the Intersect consortium of NSW$45,000
Funding Body: University of Newcastle

Project Team
Professor Leo Radom, Associate Professor Frans Henskens, Laureate Professor Jon Borwein
SchemeRole
Equipment GrantInvestigator
Total AmountFunding StartFunding Finish
$45,00020112011
GNo:G1000459

DVCR Special Grant 2011$40,000
Funding Body: University of Newcastle

Project Team
Laureate Professor Jon Borwein
SchemeRole
Special Project GrantChief Investigator
Total AmountFunding StartFunding Finish
$40,00020112011
GNo:G1101012

2010 (1 grants)

Computer Assisted Research Mathematics and its Applications$555,000
Funding Body: ARC (Australian Research Council)

Project Team
Laureate Professor Jon Borwein
SchemeRole
Discovery ProjectsChief Investigator
Total AmountFunding StartFunding Finish
$555,00020102014
GNo:G0190001

2009 (3 grants)

Computer Assisted Research Mathematics and its Applications$267,361
Funding Body: University of Newcastle

Project Team
Laureate Professor Jon Borwein, Professor Natashia Boland, Associate Professor Brailey Sims, Professor George Willis
SchemeRole
Priority Research CentreChief Investigator
Total AmountFunding StartFunding Finish
$267,36120092012
GNo:G0189866

New Theory and Algorithms for Nonsmooth Optimization with Application to Integer Programming$249,000
Funding Body: ARC (Australian Research Council)

Project Team
Professor Natashia Boland, Laureate Professor Jon Borwein, Professor Andrew Eberhard
SchemeRole
Discovery ProjectsInvestigator
Total AmountFunding StartFunding Finish
$249,00020092011
GNo:G0188718

DVCR contribution to Borwien Exec assist. upgrade$17,600
Funding Body: University of Newcastle

Project Team
Laureate Professor Jon Borwein
SchemeRole
Special Project GrantChief Investigator
Total AmountFunding StartFunding Finish
$17,60020092009
GNo:G0190019
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Research Supervision

Number of current supervisions6
Total current UoN Masters EFTSL0.3
Total current UoN PhD EFTSL2.2

For supervisions undertaken at an institution other that the University of Newcastle, the institution name is listed below the program name.

Current Supervision

CommencedProposed
Completion
ProgramSupervisor TypeResearch Title
20142018PhD (Mathematics)Principal SupervisorParallelisation, Precision, and Reproducibility in Pure Mathematical Computation
20132017PhD (Mathematics)Principal SupervisorEffectiveness of Computer Assisted Methods for the Study of Mathematical Analysis
20132016PhD (Mathematics)Principal SupervisorNonlinear Analysis for Optimisation
20122014PhD (Mathematics)Principal SupervisorFractal Pattern Discovery Tools for Experimental Mathematics
20112015PhD (Mathematics)Co-SupervisorArithmetic Applications of Hankel Determinants
20082011M Philosophy (Mathematics)Principal SupervisorTools for Teaching Computational Mathematics

Past Supervision

YearProgramSupervisor TypeResearch Title
2013PhD (Mathematics)Principal SupervisorRandom Walks, Elliptic Integrals and Related Constants
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Laureate Professor Jonathan (Jon) Borwein

Work Phone(02) 4921 5535
Fax(02) 4921 6898
Email
PositionLaureate Professor
School of Mathematical and Physical Sciences
Faculty of Science and Information Technology
The University of Newcastle, Australia
Focus AreaMathematics
Office
V120,
Mathematics,
Callaghan
University Drive
Callaghan NSW 2308
Australia
URL:www.newcastle.edu.au/profile/jonathan-borwein