Items where Author is "Borwein, Jonathan M."

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Article

Borwein, Jonathan M. (2016) A very complicated proof of the minimax theorem. Minimax Theory and its Applications, 1 (1). pp. 21-27. (In Press)

Borwein, Jonathan M. (2016) Generalisations, Examples and Counter-examples in Analysis and Optimisation. Set-valued and Variational Analysis. . (In Press)

Bailey, David H. and Borwein, Jonathan M. (2016) Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums. Mathematics of Computation, 85 (297). (In Press)

Borwein, Jonathan M. and Hare, Kevin G. and Lynch, Jason G. (2016) Generalized Continued Logarithms and Related Continued Fractions. (Submitted)

Borwein, Jonathan M. and Lindstrom, Scott (2016) Meetings with Lambert W and Other Special Functions in Optimization and Analysis. Pure and Applied Functional Analysis . (In Press)

Bailey, David H. and Borwein, Jonathan M. and de Pardo, Lopez M. (2016) Stock portfolio design and backtest overfitting. Journal of Investment Managment . (In Press)

Borwein, Jonathan M. and Calkin, Neil J. and Lindstrom, Scott and Mattingly, A. (2016) Continued Logarithms And Associated Continued Fractions. Experimental Mathematics . (In Press)

Bailey, David H. and Borwein, Jonathan M. and Kimberley, J. S. (2016) Discovery and analysis of large Poisson polynomials using the MPFUN-MPFR arbitrary precision software. Experimental Mathematics . (In Press)

Bailey, David H. and Borwein, Jonathan M. and Brent, Richard and Ardali, Mohsen R. (2016) Reproducibility in computational science a case study: randomness of the digits of Pi. Experimental Mathematics . (In Press)

Bailey, David H. and Borwein, Jonathan M. and de Pardo, Lopez M. (2016) Stock portfolio design and backtest overfitting. (Submitted)

Borwein, Jonathan M. (2016) Adventures with the OEIS. (Submitted)

Bailey, David H. and Borwein, Jonathan M. (2016) A computational mathematics view of space, time and complexity. Prepared for Space, Time, and Frontiers of Human Understanding .

Bailey, David H. and Borwein, Jonathan M. and de Pardo, Lopez M. and Zhu, Qiji J. (2016) Backtest overfitting in financial markets. Featured Article The Automated Trader, 39 (1). pp. 52-57.

Borwein, Jonathan M. and Straub, Armin and Vignat, Christophe (2016) Densities of short uniform random walks in higher dimensions. Journal of Mathematical Analysis and Applications., 1 (437). pp. 668-707.

Borwein, Jonathan M. and Dilcher, K. (2016) Derivative and fast evaluation of the witten Zeta function. (Submitted)

Borwein, Jonathan M. and Giladi, Ohad (2016) Ergodic behaviour of a Douglas-Rachford operator away from origin. (Submitted)

Borwein, Jonathan M. (2016) A short walk can be beautiful. J. Humanistic Mathematics, 6 (1). pp. 5-28.

Aragón Artacho, Francisco J. and Borwein, Jonathan M. and Tam, Matthew K (2015) Global Behavior of the Douglas–Rachford Method for a Nonconvex Feasibility Problem. J. Global Optimization . (In Press)

Borwein, Jonathan M. and Giladi, Ohad (2015) Some Remarks on Convex analysis in topological groups. J. Convex Analysis . (In Press)

Borwein, Jonathan M. and Sinnamon, C. (2015) A closed form for the density functions of random walks in odd dimensions. Bull. Australian Math. Soc. .

Borwein, Jonathan M. and Giladi, Ohad (2015) Nearest points and delta convex functions. Bulletin of the Australian Mathematical Society .

Borwein, Jonathan M. and Zhu, Qiji J. (2015) A variational approach to Lagrange multipliers. JOTA .

Borwein, Jonathan M. and Chapman, Scott T. (2015) I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly. MAA Monthly . (In Press)

Borwein, Jonathan M. and Tam, Matthew K (2015) The cyclic Douglas-Rachford feasibility method: behaviour on infeasible problems. J. Nonlinear and Convex Analysis, 16 (4). pp. 537-584.

Borwein, David and Borwein, Jonathan M. and Sims, Brailey (2015) Monotonicity of Certain Riemann Sums. (Submitted)

Bailey, David H. and Borwein, Jonathan M. (2015) Computation and theory of extended Mordell-Tornheim-Witten sums. Part II. Journal of Approximation Theory, 189 . pp. 115-140. (In Press)

Bailey, David H. and Borwein, Jonathan M. and Kimberley, J. S. (2015) Computer discovery and analysis of large Poisson polynomials. (Submitted)

Borwein, Jonathan M. and Calkin, Neil J. and Lindstrom, Scott and Mattingly, A. (2015) Continued Logarithms And Associated Continued Fractions. (Submitted)

Borwein, Jonathan M. and Li, Guoyin and Tam, Matthew K (2015) Convergence rate analysis for averaged fixed point iterations in the presence of Hölder regularity. (Submitted)

Borwein, Jonathan M. and Giladi, Ohad (2015) Convex analysis in groups and semigroups: a sampler. (Submitted)

Bailey, David H. and Borwein, Jonathan M. (2015) Crandall's computation of the incomplete Gamma Function and the Hurwitz Zeta Function with applications to Dirichlet L-series. Applied Mathematics and Computation (268). pp. 462-477.

Bailey, David H. and Borwein, David and Borwein, Jonathan M. (2015) Eulerian Log-Gamma Integrals and Tornheim-Witten zeta functions. Ramanujan (36). pp. 43-68.

Bailey, David H. and Borwein, Jonathan M. (2015) High-Precision Arithmetic in Mathematical Physics. Mathematics (3). pp. 337-367.

Borwein, Jonathan M. and Dutta, J. (2015) Maximal Monotone Inclusions and Fitzpatrick Functions. JOTA .

Borwein, Jonathan M. and Howlett, Phil and Piantadosi, Julia (2015) Modelling and simulation of seasonal rainfall using checkerboard copulas of maximum entropy.

Borwein, Jonathan M. and Sims, Brailey and Tam, Matthew K (2015) Norm Convergence of Realistic Reflection and Projection Methods. Optimization: A Journal of Mathematical Programming and Operations Research (64). pp. 161-178.

Bailey, David H. and Borwein, Jonathan M. and Salehipour, Amir (2015) Online tools for demonstration of backtest overfitting. (Submitted)

Borwein, Jonathan M. and Straub, Armin (2015) Relations for Nielsen polylogarithms. Journal of Approximation Theory, 193 . pp. 74-88.

Bailey, David H. and Borwein, Jonathan M. and de Pardo, Lopez M. and Zhu, Qiji J. (2015) The probability of back-test over-fitting. Financial Mathematics .

Borwein, Jonathan M. and Bailey, David H. (2014) The recent patenting of Pi: a troubling precedent. Notices of the AMS, 61 (10). pp. 121-124.

Borwein, David and Borwein, Jonathan M. (2014) Deriving new sinc results from old. Amer. Math, Monthly, 121 . pp. 700-705.

Aragón Artacho, Francisco J. and Borwein, Jonathan M. and Tam, Matthew K (2014) Recent Results on Douglas-Rachford Methods for Combinatorial Optimization Problems. Journal of Optimization Theory and Applications, 163 (1). pp. 1-30.

Aragón Artacho, Francisco J. and Borwein, Jonathan M. and Tam, Matthew K (2014) Douglas-Rachford feasibility methods for matrix completion problems. ANZIAM Journal .

Borwein, David and Borwein, Jonathan M. and Sims, Brailey (2014) On the Solution of Linear Mean Recurrences. MAA Monthly, 121 . pp. 486-498.

Borwein, Jonathan M. and Li, Guoyin and Yao, Liangjin (2014) Analysis of the convergence rate for the cyclic projection algorithm applied to basic semi-algebraic convex sets. SIAM Journal on Control and Optimization, 24 . pp. 498-527. ISSN 0363-0129

Borwein, Jonathan M. and Li, Guoyin and Yao, Liangjin (2014) Analysis of the convergence rate for the cyclic projection algorithm on semi-algebraic convex sets. SIAM Optim. (24). pp. 498-527.

Aragón Artacho, Francisco J. and Borwein, Jonathan M. and Martín-Márquez, Victoria and Yao, Liangjin (2014) Applications of Convex Analysis within Mathematics. Mathematical Programming, 148 (1-2). pp. 49-88.

Bailey, David H. and Borwein, Jonathan M. and Kaiser, Alexander D. (2014) Automated Simplification of Large Symbolic Expressions. J. Symbolic Computation (60). pp. 120-136.

Bailey, David H. and Borwein, Jonathan M. and Kaiser, Alexander D. (2014) Automated Simplification of Large Symbolic Expressions. J. Symbolic Analysis (60). pp. 120-136.

Bailey, David H. and Borwein, Jonathan M. and Crandall, Richard E. (2014) Computation and Theory of Extended MordellL-Tornheim-Witten Sums. Mathematics of Computation (83). pp. 1795-1821.

Bailey, David H. and Borwein, Jonathan M. and Crandall, Richard E. (2014) Computation and theory of extended Mordell-Tornheim-Witten sums. Mathematics of Computation (83). pp. 1795-1821.

Borwein, Jonathan M. and Burachik, Regina S. and Yao, Liangjin (2014) Conditions for zero duality gap in convex programming. J. Convex and Nonlinear Analysis (15).

Borwein, Jonathan M. and Bugeaud, Yann and Coons, Michael (2014) The Legacy of Mahler. Newsletter of the European Mathematical Society (91). pp. 12-16.

Borwein, Jonathan M. and Yao, Liangjin (2014) Legendre-type integrands and convex integral functions. Journal of Convex Analysis, 21 (1). pp. 264-288. ISSN 0944-6532

Borwein, Jonathan M. and Howlett, Phil and Piantadosi, Julia (2014) Modelling and Simulation of Seasonal Rainfall Using the Principle of Maximum Entropy. Entropy, 16 . pp. 747-769.

Borwein, David and Borwein, Jonathan M. and Straub, Armin (2014) ON LATTICE SUMS AND WIGNER LIMITS. JMAA, 414 . pp. 489-513.

Bailey, David H. and Borwein, Jonathan M. (2014) On Pi Day 2014, Pi's normality is still in question. American Mathematical Monthly (121). pp. 191-204.

Bailey, David H. and Borwein, Jonathan M. and de Pardo, Lopez M. and Zhu, Qiji J. (2014) PSEUDO-MATHEMATICS AND FINANCIAL CHARLATANISM: THE EFFECTS OF BACKTEST OVERFITTING ON OUT-OF-SAMPLE PERFORMANCE. Notices of the AMS (61). pp. 458-471.

Bailey, David H. and Borwein, Jonathan M. and de Pardo, Lopez M. and Zhu, Qiji J. (2014) Pseudo mathematics and financial charlatanism: Backtest overfitting and out-of-sample over performance. Notices of the AMS (61). pp. 458-471.

Borwein, Jonathan M. and Yao, Liangjin (2014) Some results on the convexity of the closure of the domain of a maximally monotone operator. Optimization Letters, 8 (1). pp. 237-246.

Borwein, Jonathan M. and Bailey, David H. (2014) The recent trademarking of Pi: a troubling precedent. Notices of the AMS (61). pp. 121-124.

Borwein, Jonathan M. and Yao, Liangjin (2013) Sum theorems for maximally monotone operators of type (FPV). Set-Valued and Variational Analysis, 21 (4). pp. 603-616.

Borwein, Jonathan M. and Maitland, Christopher and Skerritt, Matthew (2013) COMPUTATION OF AN IMPROVED LOWER BOUND TO GIUGA’S PRIMALITY CONJECTURE. Integers, 13 .

Bailey, David H. and Borwein, Jonathan M. and Crandall, Richard E. and Rose, Michael (2013) EXPECTATIONS ON FRACTAL SETS. Applied Mathematics and Computation, 220 . pp. 695-721.

Tam, Matthew K and Borwein, Jonathan M. (2013) A Cyclic Douglas-Rachford Iteration Scheme. Journal of Optimization Theory and Applications .

Bailey, David H. and Borwein, David and Borwein, Jonathan M. (2013) On Eulerian Log-Gamma Integrals and Tornheim--Witten zeta functions. Ramanujan J. .

Borwein, Jonathan M. and Crandall, Richard E. (2013) Closed forms: What they are and why they matter. Notices of the American Mathematical Society, 60 (5). pp. 50-65.

Bailey, David H. and Borwein, Jonathan M. (2013) Compressed lattice sums arising from the Poisson equation. Boundary Value Problems, 2013 (75).

Bailey, D.H. and Borwein, Jonathan M. and Mattingly, A. and Wightwick, G. (2013) The Computation of Previously Inaccessible Digits of π² and Catalan's Constant. Notices of the AMS, 60 (7). pp. 844-854.

Borwein, Jonathan M. (2013) Experimental mathematics leads to new insights. International Innovation .

Aragón Artacho, Francisco J. and Borwein, Jonathan M. (2013) Global convergence of a non-convex Douglas-Rachford iteration. J. Global Optimization, 57 (3). pp. 753-769.

Bailey, David H. and Borwein, Jonathan M. and Crandall, Richard E. and Zucker, I. John (2013) Lattice sums arising from the Poisson equation. ournal of Physics A: Mathematical and Theoretical, 46 .

Borwein, Jonathan M. and Straub, A. (2013) Mahler measures, short walks and logsine integrals. Theoretical Computer Science. Special issue on Symbolic and Numeric Computation., 479 (1). pp. 4-21.

Borwein, Jonathan M. and Yao, Liangjin (2013) Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator. Set-Valued and Variational Analysis, 21 . pp. 603-616.

Bauschke, Heinz H. and Borwein, Jonathan M. and Wang, Xianfu and Yao, Liangjin (2013) Monotone Operators and "Bigger Conjugate" Functions. Journal of Convex Analysis, 20 (1). pp. 143-155.

Borwein, Jonathan M. and Yao, Liangjin (2013) Structure theory for maximally monotone operators with points of continuity. JOTA, 157 . pp. 1-24.

Borwein, Jonathan M. and Straub, Armin and Wan, James (2013) Three-step and four-step random walk integrals. Experimental Mathematics, 22 (1). pp. 1-14.

Borwein, Jonathan M. and Zhu, Qiji J. (2013) Variational methods in the presence of symmetry. Advances in Nonlinear Analysis, 2 (3). pp. 271-307.

Aragón Artacho, Francisco J. and Bailey, David H. and Borwein, Jonathan M. and Borwein, Peter (2013) Walking on real numbers. Mathematical Intelligencer, 35 (1). pp. 42-60.

Bailey, David H. and Borwein, Jonathan M. (2012) Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics. American Mathematical Monthly, 119 (8). pp. 646-657.

Bauschke, Heinz H. and Borwein, Jonathan M. and Wang, Shawn Xianfu and Yao, Liangjin (2012) The Brezis–Browder Theorem in a general Banach space. J. Functional Analysis, 262 (12). pp. 4948-4971.

Bauschke, Heinz H. and Borwein, Jonathan M. and Wang, Xianfu and Yao, Liangjin (2012) Construction of Pathological Maximally Monotone Operators on Non-reflexive Banach Spaces. Set-Valued Var. Anal., 20 (3). pp. 387-415.

Borwein, Jonathan M. and Vanderwerff, Jon (2012) Constructions of Uniformly Convex Functions. Canadian Math. Bull, 55 (4). pp. 497-707.

Borwein, Jonathan M. and Howlett, Phil and Piantadosi, Julia (2012) Copulas with Maximum Entropy. Optimization Letters, 6 (1). pp. 99-125.

Borwein, Jonathan M. and Wan, James and Zudilin, Wadim and Zagier, Don (2012) Densities of short uniform random walks. Canad. J. Math., 64 (5). pp. 961-990.

Bailey, D.H. and Borwein, Jonathan M. (2012) Exploratory Experimentation and Computation. Notices of the AMS, 58 (10). pp. 1410-1419.

Piantadosi, Julia and Borwein, Jonathan M. and Henstridge, John (2012) Generation of simulated rainfall data at different time-scales. Numerical Algebra, Control and Optimization, 2 . pp. 233-256.

Aragón Artacho, Francisco J. and Borwein, Jonathan M. (2012) Global convergence of a non-convex Douglas–Rachford iteration. Journal of Global Optimization . ISSN 0925-5001

Bailey, D.H. and Borwein, Jonathan M. (2012) Hand-to-hand combat with multi-thousand-digit integrals. Journal of Computational Science, 3 . pp. 77-86.

Bailey, David H. and Barrio, Roberto and Borwein, Jonathan M. (2012) High-Precision Computation: Mathematical Physics and Dynamics. Applied Mathematics and Computation, 218 . pp. 10106-10121.

Borwein, Jonathan M. and Straub, Armin (2012) Log-sine evaluations of Mahler measures, Part I. Australian J. Maths., 92 . pp. 15-36.

Borwein, David and Borwein, Jonathan M. and Straub, A. and Wan, J. (2012) Log-sine evaluations of Mahler measures, Part II. Integers, 12 (6). pp. 1179-1212.

Borwein, Jonathan M. (2012) Maximum entropy and feasibility methods for convex and non-convex inverse problems. Optimization, 61 . pp. 1-33.

Bailey, D.H. and Borwein, Jonathan M. (2012) Nonnormality of Stoneham constants. Ramanujan J., 29 . pp. 409-422.

Amdeberhan, T. and Borwein, Jonathan M. and Straub, Armin (2012) On formulas for π experimentally conjectured by Jauregui--Tsallis. J. Math. Physics, 53 .

Borwein, Jonathan M. and Jungic, Veselin (2012) Organic Mathematics then and now. Notices of the AMS, 59 . pp. 416-419.

Borwein, Jonathan M. (2012) Ramanujan and Pi. Notices of the AMS, 59 (11). pp. 534-537.

Borwein, Jonathan M. and Borwein, Peter and Jungic, Veselin (2012) Remote Collaboration: Six Years of the Coast-To-Coast Seminar Series. Science Communication, 34 (3). pp. 419-428.

Aragón Artacho, Francisco J. and Borwein, Jonathan M. and Borwein, Peter (2012) Walks on real numbers. Mathematical Intelligencer .

Bailey, D.H. and Borwein, Jonathan M. and Calude, C.S. and Dinneen, M.J. and Dumitrescu, M. and Yee, A. (2012) An empirical approach to the normality of pi. Experimental Mathematics, 21 (4). pp. 375-384.

Borwein, David and Borwein, Jonathan M. and Straub, Armin (2012) A sinc that sank. Amer. Mathematical Monthly, 119 . pp. 535-549.

Bauschke, Heinz H. and Borwein, Jonathan M. and Wang, Xianfu and Yao, Liangjin (2011) Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type. Optimization Letters .

Bailey, D.H. and Borwein, Jonathan M. (2011) High-Precision Numerical Integration: Progress and Challenges,. Journal of Symbolic Computation, 46 . pp. 741-754.

Borwein, David and Borwein, Jonathan M. and Glasser, Larry and Wan, James (2011) Moments of Ramanujan's generalized elliptic integrals and extensions of Catalan's constant. J. Math. Anal. Appl., 384 . pp. 478-496.

Bačak, Miroslav and Borwein, Jonathan M. (2011) On Difference Convexity of Locally Lipschitz Functions. Optimization, 60 . pp. 961-978.

Borwein, Jonathan M. and Nuyens, D. and Straub, A. and Wan, James (2011) Some Arithmetic Properties of Short Random Walk Integrals. Ramanujan Journal, 26 . pp. 109-132.

Borwein, Jonathan M. and Straub, Armin (2011) Special values of generalized log-sine integrals. As pp. 43--50 in the Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC, 2011 .

Borwein, Jonathan M. (2011) Why are mathematics papers so dull? SIAM News, 7 .

Borwein, Jonathan M. and Reich, S. and Sabach, S. (2011) A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept. J. Nonlinear and Convex Analysis, 12 . pp. 161-183.

Bailey, David H. and Borwein, Jonathan M. and Crandall, Richard E. (2010) Advances in the theory of box integrals. Mathematics of Computation, 79 . pp. 1839-1866.

Borwein, Jonathan M. and Luke, D. Russell (2010) Duality and Convex Programming.

Borwein, Jonathan M. and Chan, O-Yeat (2010) Duality in tails of multiple-zeta values. International Journal of Number Theory, 6 (3). pp. 501-514.

Bailey, David H. and Borwein, Jonathan M. (2010) Experimental computation with oscillatory integrals. Contemporary Mathematics, 517 .

Bailey, David H. and Borwein, Jonathan M. and Broadhurst, David J. and Zudilin, Wadim (2010) Experimental mathematics and mathematical physics. Contemporary Mathematics, 517 .

Borwein, Jonathan M. (2010) Fifty years of maximal monotonicity. Optimization Letters, 4 . pp. 473-490.

Borwein, Jonathan M. and Vanderwerff, Jon (2010) Fréchet-Legendre functions and reflexive Banach spaces. Journal of Convex Analysis, 17 (3-4). pp. 915-924.

Borwein, Jonathan M. and Chan, O-Yeat and Crandall, R. E. (2010) Higher-dimensional box integrals. Experimental Mathematics, 19 (4). pp. 431-446.

Bačak, Miroslav and Borwein, Jonathan M. and Eberhard, Andrew and Mordukhovich, Boris S. (2010) Infimal convolutions and lipschitzian properties of subdifferentials for prox-regular functions in hilbert spaces. Journal of Convex Analysis, 17 (3-4). pp. 737-763.

Borwein, David and Borwein, Jonathan M. and Leonard, Isaac E. (2010) L_p norms and the sinc function. American Mathematical Monthly, 117 (6). pp. 528-539.

Borwein, Jonathan M. and Moors, Warren B. (2010) Stability of closedness of convex cones under linear mappings II. Journal of Nonlinear Analysis and Optimization: Theory and Applications, 1 (1). pp. 1-7.

Bailey, David H. and Borwein, Jonathan M. (2009) Experimental mathematics and computational statistics. Wiley Interdisciplinary Reviews: Computational Statistics, 1 (1). pp. 12-24.

Borwein, Jonathan M. and Vanderwerff, Jon D. (2009) Differentiability of conjugate functions and perturbed minimization principles. Journal of Convex Analysis . pp. 699-706. ISSN 0944-6532

Borwein, Jonathan M. and Calkin, Neil J. and Manna, Dante (2009) Euler-Boole Summation Revisited. Amer. Math Monthly, 116 (5). pp. 387-412.

Bailey, David H. and Borwein, Jonathan M. (2009) Experimental computation with oscillatory integrals.

Borwein, Jonathan M. and Bailey, David H. (2009) Highly Parallel, High-Precision Numerical Integration. International Journal of Computational Science and Engineering, 4 .

Borwein, Jonathan M. (2009) The Princeton companion to mathematics (book review). SIAM Review, 51 (4). pp. 790-794.

Bailey, David H. and Borwein, Jonathan M. and Crandall, Richard E. (2009) Resolution of the Quinn-Rand-Strogatz constant of nonlinear physics. Experimental Mathematics, 18 . pp. 107-116.

Borwein, Jonathan M. and Moors, Warren B. (2009) Stability of closedness of convex cones under linear mappings. Journal of Convex Analysis, 16 (3-4). pp. 707-713.

Borwein, Jonathan M. and Hamilton, Chris H. (2009) Symbolic Fenchel Conjugation. Mathematical Programming, 116 (1-2). pp. 17-35.

Borwein, Jonathan M. and Guirao, Antonio J. and Vanderwerff, Jon D. (2009) UNIFORMLY CONVEX FUNCTIONS ON BANACH SPACES. Proceedings of the American Mathematical Society, 137 . pp. 1081-1091. ISSN 0002-9939

Borwein, Jonathan M. and Chan, O-Yeat (2009) Uniform Bounds for the Complementary Incomplete Gamma Function. Mathematical Inequalities and Applications, 12 . pp. 115-121.

Borwein, Jonathan M. and Luke, D. Russell (2008) Dynamics of a Ramanujan-type continued fraction with cyclic coefficients. The Ramanujan Journal, 16 (3). pp. 285-304.

Bailey, David H. and Borwein, Jonathan M. (2008) Computer-Assisted Discovery and Proof. Contemporary Mathematics, 457 . pp. 21-52. ISSN 0271-4132

Borwein, David and Borwein, Jonathan M. and Crandall, Richard E. (2008) Effective Laguerre asymptotics. SIAM J. Numerical Anal., 6 . pp. 3285-3312.

Bailey, David H. and Borwein, Jonathan M. and Broadhurst, David J. and Glasser, M.L. (2008) Elliptic integral evaluations of Bessel moments. J. Phys. A: Math. Theory, 41 . pp. 5203-5231.

Borwein, Jonathan M. (2008) Hilbert’s Inequality and Witten’s Zeta-function. American Math Monthly, 115 (2). pp. 125-137.

Borwein, Jonathan M. and Salvy, Bruno (2008) A PROOF OF A RECURSION FOR BESSEL MOMENTS. Experimental Mathematics, 17 . pp. 223-230.

Eberhard, Andrew C. and Borwein, Jonathan M. (2008) Second Order Cones for Maximal Monotone Operators via Representative Functions. Setvalued Analysis, 16 . pp. 157-184.

Baillie, Robert and Borwein, David and Borwein, Jonathan M. (2008) Surprising Sinc Sums and Integrals. The American Mathematical Monthly, 115 (10). pp. 888-901.

Borwein, David and Borwein, Jonathan M. and Chan, O-Yeat (2008) The evaluation of Bessel functions via exp-arc integrals. Journal of Mathematical Analysis and Applications, 341 (1). 478 - 500.

Borwein, Jonathan M. and Zucker, I. J. and Boersma, J. (2008) The evaluation of character Euler double sums. Ramanujan Journa, 15 . pp. 377-405.

Borwein, Jonathan M. and Chamberland, Marc (2007) Integer Powers of Arcsin. IJMMS .

Borwein, Jonathan M. and Bauschke, Heinz H. and Wang, Shawn Xianfu (2007) Fitzpatrick functions and continuous linear monotone operators. SIAM Journal on Control and Optimization, 18 . pp. 257-276. ISSN 0363-0129

Borwein, Jonathan M. and Borwein, David (2007) Van der Pol Expansions of L-Series. Canad. Math, Bull., 50 . pp. 11-23.

Borwein, Jonathan M. and Wiersma, Herre (2007) Asplund Decomposition of Monotone Operators. SIAM Journal on Control and Optimization, 18 . ISSN 0363-0129

Borwein, Jonathan M. and Bailey, David H. and Crandall, Richard E. (2007) Box Integrals. Journal of Computational and Applied Mathematics, 206 .

Bartz, Sedi and Bauschke, Heinz H. and Borwein, Jonathan M. and Reich, Simeon and Wang, Xianfu (2007) Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative. Nonlinear Analysis Theory Methods and Applications, 66 (5). pp. 1198-1223.

Eberhard, Andrew C. and Borwein, Jonathan M. (2007) A General Sum Theorem for Maximality of Monotone Operators.

Borwein, Jonathan M. and Crandall, Richard E. and Bailey, David H. (2007) Hypergeometric forms for Ising-class integrals. Experimental Mathematics, 16 .

Borwein, Jonathan M. (2007) Maximality of Sums of Two Maximal Monotone Operators in General Banach Space. Proceedings of the American Mathematical Society, 135 . pp. 3917-3924. ISSN 0002-9939

Borwein, Jonathan M. and Crandall, Richard E. and Borwein, David and Mayer, Raymond (2007) On the dynamics of certain recurrence relations. Ramanujan Journal, 13 . pp. 63-101.

Borwein, Jonathan M. (2007) Proximality and Chebyshev sets. Optimization Letters, 1 . pp. 21-32.

Eberhard, Andrew C. and Borwein, Jonathan M. (2007) A Variation on the Banach-Dieudonne Theorem with Application to Maximal Monotone Operators. (Unpublished)

Borwein, Jonathan M. (2007) A class of Dirichlet series integrals. Amer. Math Monthly, 114 . pp. 70-76.

Borwein, Jonathan M. and Macklem, Mason S. (2006) The (Digital) Life of Pi. Mathematical Gazette, 33 . pp. 243-248.

Borwein, Jonathan M. and Crandall, Richard E. and Bailey, David H. (2006) Integrals of the Ising class. J. Phys. A., 39 . pp. 12271-12302.

Borwein, Jonathan M. and Eberhard, Andrew C. (2006) Maximality of Monotone Operators in General Banach Space.

Bailey, David H. and Borwein, Jonathan M. and Bradley, David M. (2006) Experimental Determination of Apery-Like Identities for ζ(2n + 2). Experimental Mathematics, 15 . pp. 281-289.

Borwein, Jonathan M. and Montesinos, Vicente and Vanderwerff, Jon D. (2006) Boundedness, Differentiability and Extensions of Convex Functions. J. Convex Analysis, 13 (3-4). pp. 587-602.

Borwein, Jonathan M. and Moors, Warren B. (2006) Non-smooth Analysis, Optimisation Theory and Banach Space Theory.

Borwein, Jonathan M. (2006) The Life of Simon Fitzpatrick. J. Convex Analysis, 13 . pp. 463-476.

Borwein, Jonathan M. (2006) Maximal monotonicity via convex analysis. Journal of Convex Analysis, 13 (3-4). pp. 561-586.

Borwein, Jonathan M. (2006) Maximality of sums of two maximal monotone operators. Proceedings of the American Mathematical Society, 134 (10). 2951 - 2956.

Borwein, David and Borwein, Jonathan M. and Bradley, David M. (2006) Parametric Euler sum identities. Journal of Mathematical Analysis and Applications, 316 (1). 328 - 338.

Borwein, Jonathan M. and Ye, Lingyun (2006) Quadratic Convergence of the Tanh-sinh Quadrature Rule. Mathematics of Computation .

Bailey, David H. and Borwein, Jonathan M. and Kapoor, Vishaal and Weisstein, Eric W. (2006) Ten problems in experimental mathematics. The American Mathematical Monthly, 113 (6). pp. 481-509.

Borwein, Jonathan M. and Bradley, David M. (2006) Thirty-two Goldbach Variations. Int. J. Number Theory, 2 (1). pp. 65-103.

Borwein, Jonathan M. and Zhu, Qiji J. (2006) Variational methods in convex analysis. Journal of Global Optimization, 35 . pp. 197-213. ISSN 0925-5001

Borwein, Jonathan M. and Wang, Shawn Xianfu (2005) Cone monotone functions: differentiability and continuity. Canadian J. Math, 57 . pp. 961-982.

Borwein, Jonathan M. and Choi, Stephen and Pigulla, Wilfried (2005) Continued Fractions of Tails of Hypergeometric Series. American Mathematical Monthly, 112 . pp. 493-501.

Kellar, M. and MacKay, B. and Zhang, R. and Watters, C. and Kaufman, D. and Borwein, Jonathan M. (2005) Dynamic Composition of Math Lessons. Educational Technology & Society, 6 (4). pp. 100-111.

Borwein, Jonathan M. and Luke, D. Russell (2005) Dynamics of Random Continued Fractions. Abstract and Applied Analysis, 5 . pp. 449-468.

Borwein, Jonathan M. and Girgensohn, Roland (2005) Evaluations of Binomial Series. Aequationes Math., 70 . pp. 25-36.

Borwein, Jonathan M. (2005) The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof. International Journal of Computers for Mathematical Learning, 10 . pp. 75-108.

Bailey, David H. and Borwein, Jonathan M. (2005) Experimental mathematics: examples, methods and implications. Notices of the American Mathematical Society, 52 (5). pp. 502-514.

Borwein, Jonathan M. and Stanway, Terry (2005) Knowledge and Community in Mathematics. Mathematical Intelligencer, 27 . pp. 7-16.

Borwein, Jonathan M. and Wang, Shawn Xianfu (2005) Lipschitz functions with maximal Clarke subdifferentials are staunch. Bull. Aust. Math. Soc., 72 . pp. 491-496.

Borwein, Jonathan M. (2005) Review of the SIAM Hundred Digit Challenge Prepared for the Mathematical Intelligencer. pp. 961-982.

Borwein, Jonathan M. and Kortezov, Ivaylo (2004) Constructive Minimal Cuscos. C.R. Bulg. Acad. Sci., 57 (12). pp. 9-12.

Borwein, Jonathan M. and Vanderwerff, Jon D. (2004) Constructible Convex Sets. Set Valued Analysis, 12 (1-2). pp. 61-77.

Borwein, Jonathan M. and Burke, James V. and Lewis, Adrian (2004) Differentiability of cone-monotone functions on separable Banach space. Proceedings of the American Mathematical Society, 132 (4). pp. 1067-1076.

Borwein, Jonathan M. and Galway, William F. and Borwein, David (2004) Finding and Excluding b-ary Machin-Type BBP Formulae. Canadian J. Math, 56 . pp. 897-925.

Borwein, Jonathan M. and Crandall, Richard E. and Fee, Greg (2004) On the Ramanujan AGM fraction. Part I: the Real-parameter Case. Experimental Mathematics, 13 . pp. 275-286.

Borwein, Jonathan M. and Bailey, David H. and Crandall, Richard E. and Pomerance, Carl (2004) On the binary expansions of algebraic numbers. J. Number Theory Bordeaux, 16 . pp. 487-518.

Borwein, Jonathan M. and Fabian, Marian and Revalski, Julian (2004) A one perturbation variational principle and applications. Set-Valued Analysis, 12 (1-2). pp. 49-60. ISSN 0927-6947

Borwein, Jonathan M. and Fitzpatrick, Simon and Girgensohn, Roland (2003) Subdifferentials whose Graphs are not Norm x Weak* Closed. Canadian Math. Bulletin, 46 . pp. 538-545.

Borwein, Jonathan M. and Crandall, Richard E. (2003) On the Ramanujan AGM fraction. Part II: the Complex-parameter Case.

Borwein, Jonathan M. and Choi, Stephen (2003) On Dirichlet series for sums of squares. Ramanujan Journal, 7 . pp. 95-128.

Borwein, Jonathan M. and Combettes, Patrick L. and Bauschke, Heinz H. (2003) Bregman Monotone Optimization Algorithms. SIAM J. Control and Optimization, 42 . pp. 596-636.

Borwein, Jonathan M. and Girgensohn, Roland (2003) A Class of Exponential Inequalities. Mathematical Inequalities and Applications, 6 . pp. 397-411.

Borwein, Jonathan M. and Burke, James V. and Lewis, Adrian (2003) Differentiability of cone-monotone functions in Banach spaces. Proceedings of the American Mathematical Society, 132 (4). pp. 1067-1076. ISSN 0002-9939

Borwein, Jonathan M. and Wang, Xianfu (2003) Lipschitz functions on the line with prescribed Hölder subdifferentials. Advan. Stud. Contemp. Math, 7 . pp. 93-117.

Borwein, Jonathan M. and Vanderwerff, Jon D. and Wang, Shawn Xianfu (2003) Local Lipschitz Constants and Maximal Subdifferentials. Set-Valued Analysis, 11 . pp. 37-67. ISSN 0927-6947

Borwein, Jonathan M. and Goebel, Rafal (2003) Notions of Relative Interior in Banach Spaces. Journal of Mathematical Sciences , 115 . pp. 2542-2553.

Borwein, Jonathan M. and Dontchev, Asen L. (2003) On the Bartle-Graves Theorem. Proceedings of the American Mathematical Society, 131 . pp. 2553-2560. ISSN 0002-9939

Borwein, Jonathan M. and Choksi, Rustum and Marechal, Pierre (2003) Probability distributions of assets inferred from option prices via the Principle of Maximum Entropy. SIAM J. Optimization, 4 . pp. 464-478.

Borwein, Jonathan M. and Fabian, Marian and Loewen, Philip D. (2002) The range of the gradient of a Lipschitz C^1-smooth bump in infinite dimensions. Israel Journal of Mathematics, 132 (1). pp. 239-251.

Borwein, Jonathan M. and Jimenez-sevilla, M. and Moreno, J.P (2002) Antiproximinal norms in Banach spaces. J. Approx. Theory, 114 . pp. 57-69.

Borwein, Jonathan M. and Giles, John and Vanderwerff, Jon D. (2002) Rotund norms, Clarke subdifferentials and extensions of Lipschitz functions. Nonlinear Analysis: Theory, Methods & Applications, 48 (2). pp. 287-301. ISSN 0362546X

Borwein, Jonathan M. and Kortezov, Ivaylo and Wiersma, Herre (2002) A $C^1$ function even on the sphere with no critical point in the ball. International J. Nonlinear and Convex Analysis, 3 . pp. 1-16.

Borwein, Jonathan M. and Benoist, Joel and Popovici, Nicolae (2002) A Characterization of Quasiconvex Vector-Valued Functions. Proceedings of the American Mathematical Society, 131 . pp. 1109-1113. ISSN 0002-9939

Borwein, David and Borwein, Jonathan M. and Mares Jr., Bernard A. (2002) Multi-variable sinc integrals and volumes of polyhedra. The Ramanujan Journal, 6 . pp. 189-208.

Borwein, Jonathan M. and Fitzpatrick, Simon (2001) Duality Inequalities and Sandwiched Functions. Nonlinear Analysis: Theory, Methods & Applications, 46 (3). pp. 365-380. ISSN 0362546X

Borwein, Jonathan M. and Fabian, Marian and Kortezov, Ivaylo and Loewen, Philip D. (2001) The Range of the Gradient of a Continuously Differentiable Bump. J. Nonlinear and Convex Analysis, 2 . pp. 1-19.

Borwein, Jonathan M. and Bradley, David M. and Broadhurst, David J. and Lisonek, Petr (2001) Special Values of Multidimensional Polylogarithms. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 353 (3). pp. 907-941.

Borwein, Jonathan M. and Broadhurst, David J. and Kamnitzer, Joel (2001) Central Binomial Sums, Multiple Clausen Values and Zeta Values. Experimental Mathematics, 10 (1). pp. 25-41.

Borwein, Jonathan M. and Borwein, Peter (2001) Challenges for Mathematical Computing. Computing in Science & Engineering, 3 . pp. 48-53.

Borwein, Jonathan M. and Vanderwerff, Jon D. (2001) Convex Functions of Legendre Type in General Banach Spaces. Journal of Convex Analysis, 8 (2). pp. 569-581. ISSN 0944-6532

Borwein, Jonathan M. and Lewis, Adrian and Zhu, Qiji J. (2001) Convex Spectral Functions of Compact Operators, Part II: Lower Semicontinuity and Rearrangement Invariance. Optimization and Related Topics, 47 . pp. 179-196.

Bauschke, Heinz H. and Borwein, Jonathan M. and Combettes, Patrick L. (2001) Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces. Communications in Contemporary Mathematics, 3 . pp. 615-648.

Borwein, Jonathan M. (2001) Experimental Mathematics. Australian Mathematical Society Gazette, 28 . pp. 77-80.

Borwein, Jonathan M. and Moors, Warren B. and Wang, Shawn Xianfu (2001) Generalized subdifferentials: a Baire categorical approach. Transactions AMS . pp. 3875-3893.

Bauschke, Heinz H. and Borwein, Jonathan M. (2001) Joint and Separate Convexity of the Bregman Distance. Studies in Computational Mathematics, 8 . pp. 23-36.

Borwein, David and Borwein, Jonathan M. and Fee, Greg and Girgensohn, Roland (2001) Refined Convexity and Special Cases of the Blaschke-Santalo Inequality. Mathematical Inequalities and Applications, 4 . pp. 631-638.

Borwein, Jonathan M. and Kortezov, Ivaylo (2001) Some Generic Results on Non-attaining Functionals. Special Issue of Set-valued Analysis on Well-posedness and Stability of Optimization Problems, 9 . pp. 35-47.

Borwein, Jonathan M. and Borwein, David (2001) Some Remarkable Properties of Sinc and Related Integrals. The Ramanujan Journal, 5 (1). pp. 73-90.

Borwein, David and Borwein, Jonathan M. and Marechal, Pierre (2000) Surprise Maximization. American Math. Monthly, 107 . pp. 527-537.

Borwein, Jonathan M. and Lucet, Yves and Mordukhovich, Boris S. (2000) Compactly epi-Lipschitzian convex sets and functions in normed spaces. Journal of Convex Analysis, 7 . pp. 373-394. ISSN 0944-6532

Borwein, Jonathan M. and Marechal, Pierre and Naugler, D. (2000) A convex dual approach to the computation of NMR complex spectra. Mathematical Methods of Operations Research, 51 (1). pp. 91-102.

Borwein, Jonathan M. and Lisonek, Petr (2000) Applications of Integer Relation Algorithms. Discrete Mathematics (Special issue for FPSAC 1997), 217 (200). pp. 65-82.

Borwein, Jonathan M. and Bradley, David M. and Crandall, Richard E. (2000) Computational strategies for the Riemann zeta function. Journal of Computational and Applied Mathematics, 121 . pp. 247-296.

Borwein, Jonathan M. and Lewis, Adrian and Read, John and Zhu, Qiji J. (2000) Convex spectral functions of compact operators, Part 1. J. Nonlinear and Convex Analysis, 1 . pp. 17-36.

Borwein, Jonathan M. and Wang, Shawn Xianfu (2000) Lipschitz Functions with Maximal Clarke Subdifferentials Are Generic. Proceedings of the American Mathematical Society, 128 . pp. 3221-3230. ISSN 0002-9939

Bauschke, Heinz H. and Borwein, Jonathan M. and Tseng, Paul (2000) Metric regularity, strong CHIP, and CHIP are distinct properties. Journal of Convex Analysis, 7 . pp. 395-412. ISSN 0944-6532

Borwein, Jonathan M. and Choi, Stephen (2000) On the Representations of $xy+yz+zx$. Experimental Mathematics, 9 . pp. 153-158.

Borwein, Jonathan M. and Vanderwerff, Jon D. (2000) On the continuity of biconjugate convex functions. Proceedings of the American Mathematical Society, 30 (6). pp. 1797-1803. ISSN 0002-9939

Borwein, Jonathan M. and Moors, Warren B. (2000) Separable determination of integrability and minimality of the Clarke subdifferential mapping. Proceedings of the American Mathematical Society, 128 (1). pp. 215-221. ISSN 0002-9939

Borwein, Jonathan M. and Corless, Robert M. (1999) Emerging Tools for Experimental Mathematics. The American Mathematical Monthly, 106 (10). pp. 889-909.

Bauschke, Heinz H. and Borwein, Jonathan M. and Li, Wu (1999) Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization. Mathematical Programming, 86 . pp. 135-160.

Bauschke, Heinz H. and Noll, Dominik and Celler, Anna and Borwein, Jonathan M. (1999) An EM-algorithm for dynamic SPECT tomography. IEEE TRANSACTIONS ON MEDICAL IMAGING, 18 (3). pp. 252-261.

Borwein, Jonathan M. and Treiman, Jay S. and Zhu, Qiji J. (1999) Partially Smooth Variational Principles and Applications. Journal of Nonlinear Analysis: Theory, Methods & Applications, 38 (8). pp. 1031-1059. ISSN 0362546X

Borwein, Jonathan M. and Mordukhovich, Boris S. and Shao, Yongheng (1999) On the Equivalence of Some Basic Principles in Variational Analysis. Journal of Mathematical Analysis and Applications., 229 (1). pp. 228-257. ISSN 0022-247X

Marechal, Pierre and Togane, D. and Celler, Anna and Borwein, Jonathan M. (1999) Assessment of the performance of reconstruction processes for computed tomography. IEEE Transactions on Nuclear Science, 46 . pp. 1353-1357.

Borwein, Jonathan M. and Moors, Warren B. and Wang, Shawn Xianfu (1999) Generalized subdifferentials: a Baire categorical approach (extended abstract). Mathematical Reports of the Academy of Science, 21 . pp. 132-138.

Bauschke, Heinz H. and Borwein, Jonathan M. (1999) 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). pp. 1-20.

Borwein, Jonathan M. and Moors, Warren B. and Shao, Yongheng (1999) Subgradient Representation of Multifunctions. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 40 (3). pp. 301-313.

Borwein, Jonathan M. and Zhu, Qiji J. (1999) A Survey of Subdifferential Calculus with Applications. J. Nonlinear Analysis: Th. Meth., Appl., 38 . pp. 687-773.

Borwein, David and Borwein, Jonathan M. and Pinner, Christopher (1998) Convergence of Madelung-Like Lattice Sums. Trans. Amer. Math. Soc., 350 . pp. 3131-3167.

Borwein, Jonathan M. and Bradley, David M. and Broadhurst, David J. and Lisonek, Petr (1998) Combinatorial Aspects of Multiple Zeta Values. Electronic Journal of Combinatorics, 5 .

Borwein, Jonathan M. and Treiman, Jay S. and Zhu, Qiji J. (1998) Necessary Conditions for Constrained Optimization Problems with Semicontinuous and Continuous Data. Transactions of the American Mathematical Society, 350 (6). pp. 2409-2429.

Borwein, Jonathan M. and Jofre, Alejandro (1998) A nonconvex separation property in Banach spaces. ZOR: Math. Methods of Operations Research, 48 . pp. 169-179.

Borwein, Jonathan M. (1998) Brouwer-Heyting sequences converge. Mathematical Intelligencer, 20 (1). pp. 14-15.

Borwein, Jonathan M. and Zhu, Qiji J. (1998) Limiting convex examples for nonconvex subdifferential calculus. Journal of Convex Analysis, 5 (2). pp. 221-235. ISSN 0944-6532

Borwein, Jonathan M. and Moors, Warren B. (1998) Null sets and essentially smooth Lipschitz functions. SIAM J. Optim., 8 (2). pp. 309-323.

Borwein, Jonathan M. and Girgensohn, Roland and Wang, Shawn Xianfu (1998) On the Construction of H\"older and Proximal Subderivatives. Canadian Bulletin of Mathematics, 41 . pp. 497-507.

Borwein, Jonathan M. and Moors, Warren B. (1998) A chain rule for essentially strictly differentiable Lipschitz functions. SIAM Journal on Optimization, 8 (2). pp. 300-308.

Borwein, Jonathan M. and Wang, Shawn Xianfu (1998) The converse of the mean value theorem may fail generically. MAA Monthly, 105 . pp. 847-848.

Borwein, Jonathan M. and Moors, Warren B. (1997) Essentially Smooth Lipschitz Functions. Journal of Functional Analysis, 149 (2). pp. 305-351.

Borwein, Jonathan M. and Bradley, David M. and Broadhurst, David J. (1997) Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k. Electronic Journal of Combinatorics, 4 .

Borwein, Jonathan M. and Sun, W. (1997) The Stability Analysis of Dynamic SPECT Systems. Numerische Mathematik, 77 (3). pp. 283-298. ISSN 0945-3245

Borwein, Jonathan M. and Moors, Warren B. and Wang, Shawn Xianfu (1997) Lipschitz Functions with Prescribed Derivatives and Subderivatives. Journal of Nonlinear Analysis: Theory, Methods & Applications, 29 (1). pp. 53-63. ISSN 0362546X

Borwein, Jonathan M. (1997) A generalization of Young's $L^p$ inequality. Mathematical Inequalities and Applications, 1 . pp. 131-136.

Borwein, Jonathan M. and Wang, Shawn Xianfu (1997) Distinct Differentiable Functions May Share the Same Clarke Subdifferential at All Points. Proceedings of the American Mathematical Society, 125 (3). pp. 807-813. ISSN 0002-9939

Bailey, David H. and Borwein, Jonathan M. and Crandall, Richard E. (1997) On the Khintchine Constant. Mathematics of Computation, 66 (217). pp. 417-431.

Borwein, Jonathan M. and Lisonek, Petr and Macdonald, John A. (1997) Arithmetic-Geometric Means Revisited. MapleTech, Special Issue on Maple in the Mathematical Sciences, 4 . pp. 20-27.

Borwein, Jonathan M. and Fabian, Marian and Vanderwerff, Jon D. (1997) Characterizations of Banach Spaces via Convex and other Locally Lipschitz Functions. ACTA MATHEMATICA VIETNAMICA, 21 (1). pp. 53-69.

Borwein, Jonathan M. and Vanderwerff, Jon D. (1997) Convex functions on Banach spaces not containing $l_1$. Canad. Math. Bull., 40 (1). pp. 10-18.

Borwein, Jonathan M. and Bradley, David M. (1997) Empirically Determined Apéry-like Formulae for Zeta(4n+3). Experiment. Math., 6 (3). pp. 181-194.

Bauschke, Heinz H. and Borwein, Jonathan M. (1997) Legendre functions and the method of random Bregman projections. Journal of Convex Analysis, 4 (1). pp. 27-67. ISSN 0944-6532

Bailey, David H. and Borwein, Jonathan M. and Borwein, Peter and Plouffe, Simon (1997) The Quest for Pi. The Mathematical Intelligencer, 19 (1). pp. 50-57.

Borwein, Jonathan M. and Zhu, Qiji J. (1997) Variational Analysis in Non-reflexive Spaces and Applications to Control Problems with $L^1$ Perturbations. Nonlinear Analysis: Theory, Methods & Applications, 28 (5). pp. 889-915. ISSN 0362546X

Borwein, Jonathan M. and Borwein, Peter and Girgensohn, Roland and Parnes, Sheldon (1996) Making Sense of Experimental Mathematics. Mathematical Intelligencer, 18 (4). pp. 12-18.

Bauschke, Heinz H. and Borwein, Jonathan M. (1996) On Projection Algorithms for Solving Convex Feasibility Problems. SIAM Review, 38 (3). pp. 367-426.

Borwein, Jonathan M. and Lewis, Adrian and Noll, Dominik (1996) Maximum Entropy Reconstruction Using Derivative Information Part 1: Fisher Information and Convex Duality. Mathematics of Operations Research, 21 (2). pp. 442-468.

Borwein, Jonathan M. and Vanderwerff, Jon D. (1996) Epigraphical and Uniform Convergence of Convex Functions. Transactions of the American Mathematical Society, 348 (4). pp. 1617-1631.

Borwein, Jonathan M. and Vanderwerff, Jon D. (1996) Banach Spaces That Admit Support Sets. Proceedings of the American Mathematical Society, 124 (3). pp. 751-755. ISSN 0002-9939

Borwein, David and Borwein, Jonathan M. and Wang, Shawn Xianfu (1996) Approximate Subgradients and Coderivatives in $R^n$. Set-Valued Analysis, 4 (4). pp. 375-398. ISSN 0927-6947

Borwein, David and Borwein, Jonathan M. and Borwein, Peter and Girgensohn, Roland (1996) Giuga's conjecture on primality. The American Mathematical Monthly , 103 (1). pp. 40-50.

Borwein, Jonathan M. and Borwein, Peter and Corless, Robert M. and Jorgenson, Loki (1996) Digitally Activated Mathematics for a Brave New World Wide Web. Education, Research and Perspectives, Special Issue on Multimedia Technologies and Education, 23 . pp. 28-47.

Borwein, Jonathan M. and Girgensohn, Roland (1996) Evaluation of Triple Euler Sums. The Electronic Journal of Combinatorics, 3 (1).

Borwein, Jonathan M. and Ioffe, Alexander (1996) Proximal Analysis in Smooth Spaces. Set-Valued Analysis, 4 (1). pp. 1-24. ISSN 0927-6947

Borwein, Jonathan M. and Zhu, Qiji J. (1996) Viscosity Solutions and Viscosity Subderivatives in Smooth Banach Spaces with Applications to Metric Regularity. SIAM Journal on Control and Optimization, 34 (5). pp. 1568-1591. ISSN 0363-0129

Borwein, Jonathan M. and Girgensohn, Roland (1995) Addition theorems and binary expansions. Canadian Journal of Mathematics, 47 . pp. 262-273.

Borwein, Jonathan M. and Vanderwerff, Jon D. (1995) Convergence of Lipschitz regularizations of convex functions. Journal of Functional Analysis, 128 . pp. 139-162.

Limber, Mark A. and Limber, Martha N. and Celler, Anna and Barney, J. S. and Borwein, Jonathan M. (1995) Direct Reconstruction of Functional Parameters for Dynamic SPECT. IEEE Transactions on Nuclear Science, 42 . pp. 1249-1256.

Borwein, David and Borwein, Jonathan M. and Girgensohn, Roland (1995) Explicit evaluation of Euler sums. Proceedings of the Edinburgh Mathematical Society (38). pp. 277-294.

Borwein, Jonathan M. and Limber, Martha N. and Noll, Dominik (1995) Fast heuristic methods for function reconstruction using derivative information. Applicable Analysis, 58 . pp. 241-261.

Borwein, Jonathan M. and Lewis, Adrian and Limber, Mark A. and Noll, Dominik (1995) Maximum Entropy Spectral Analysis Using Derivative Information Part 2: Computational Results. Numerische Mathematik, 69 . pp. 243-256.

Borwein, David and Borwein, Jonathan M. (1995) On some intriguing sums involving $\zeta$ (4). Proceedings of the American Mathematical Society, 123 . pp. 111-118. ISSN 0002-9939

Borwein, Jonathan M. and Vanderwerff, Jon D. (1995) A Survey on Renorming and Set Convergence. Topological Methods in Nonlinear Analysis, 5 . pp. 211-228.

Borwein, Jonathan M. and Fitzpatrick, Simon (1995) Weak* sequential compactness and bornological limit derivatives. Journal of Convex Analysis, 2 (1-2). pp. 59-67. ISSN 0944-6532

Borwein, Jonathan M. and Huang, W. (1995) A fast heuristic method for polynomial moment matching with Boltzmann-Shannon entropy. SIAM Journal on Control and Optimization, 5 . pp. 68-99. ISSN 0363-0129

Borwein, Jonathan M. and Girgensohn, Roland (1994) Functional Equations and Distribution Functions. Results in Mathematics, 26 (3-4). pp. 229-237.

Borwein, Jonathan M. and Huang, W. (1994) Uniform Convergence for Moment Problems with Fermi-Dirac Type Entropies. Zeitschrift für Operations Research, 40 (3). pp. 239-252.

Bauschke, Heinz H. and Borwein, Jonathan M. (1994) Dykstra's alternating projection algorithm for two sets. J. Approx Theory, 79 . pp. 418-443.

Borwein, Jonathan M. and Lewis, Adrian and Limber, Mark A. (1994) Entropy minimization with lattice bounds. Journal of Approximation Theory, 79 . pp. 264-307.

Borwein, Jonathan M. and Lewis, Adrian and Nussbaum, R. (1994) Entropy minimization, DAD problems, and doubly stochastic kernels. J. Functional Analysis, 123 . pp. 264-307.

Borwein, Jonathan M. and Fitzpatrick, Simon and Vanderwerff, Jon D. (1994) Examples of Convex Functions and Classifications of Normed Spaces. Journal of Convex Analysis, 1 (1). pp. 61-73. ISSN 0944-6532

Bailey, David H. and Borwein, Jonathan M. and Girgensohn, Roland (1994) Experimental Evaluation of Euler Sums. Experimental Mathematics, 3 (1). pp. 17-30.

Borwein, Jonathan M. and Vanderwerff, Jon D. (1994) Further arguments for slice convergence in nonreflexive spaces. Set-Valued Analysis, 2 (4). pp. 529-544. ISSN 0927-6947

Borwein, Jonathan M. and Vanderwerff, Jon D. (1994) Mosco, Wijsman and slice convergence in nonreflexive Banach spaces. Michigan Math Journal, 41 . pp. 371-387.

Borwein, David and Borwein, Jonathan M. (1994) On some trigonometric and exponential lattice sums. Journal of Mathematical Analysis and Applications., 188 . pp. 209-218. ISSN 0022-247X

Borwein, Jonathan M. and Noll, Dominik (1994) Second order differentiability of convex functions in Banach spaces. Trans. Amer. Math. Soc., 342 . pp. 43-82.

Borwein, Jonathan M. and Borwein, Peter and Garvan, F.G. (1994) Some cubic modular identities of Ramanujan. Trans. Amer. Math. Soc., 343 . pp. 35-48.

Borwein, Jonathan M. and Lewis, Adrian (1994) Strong rotundity and optimization. SIAM Journal on Control and Optimization, 4 . pp. 146-158. ISSN 0363-0129

Borwein, Jonathan M. (1994) A convergent mean iteration: a proof that $x_n := M(x_{n-1},x_{n-2},\cdots,x_{n-k})$ converges. Aequationes Math, 47 . pp. 139-162.

Borwein, Jonathan M. and Borwein, Peter (1993) Class number three Ramanujan type series for 1/π. Journal of Computational and Applied Math , 46 . pp. 281-290.

Borwein, Jonathan M. and Lewis, Adrian (1993) Convergence of decreasing sequences of convex sets in non-reflexive Banach spaces. Set-Valued Analysis, 4 . pp. 355-364. ISSN 0927-6947

Hirschhorn, M. and Garvan, F.G. and Borwein, Jonathan M. (1993) Cubic analogues of the Jacobian theta function θ(z, q). Canadian Journal of Mathematics, 45 . pp. 673-694.

Borwein, Jonathan M. and Borwein, Peter and Garvan, F.G. (1993) Hypergeometric analogues of the AGM iteration. Constructive Approximation, 9 . pp. 509-523.

Borwein, Jonathan M. and Borwein, Peter (1993) Inequalities for compound means with logarithmic asymptotes. Journal of Mathematical Analysis and Applications., 177 . pp. 572-582. ISSN 0022-247X

Beer, G. and Borwein, Jonathan M. (1993) Mosco and slice convergence of level sets and graphs of linear functionals. J. Math. Analysis and Applications., 338 . pp. 105-122.

Borwein, Jonathan M. and Fabian, Marian (1993) On convex functions having points of Gateaux differentiability which are not points of Fréchet differentiability. Canadian Journal of Mathematics, 45 . pp. 1121-1134.

Borwein, Jonathan M. and Fabian, Marian (1993) On generic second-order Gateaux differentiability. Journal of Nonlinear Analysis: Theory, Methods & Applications, 20 . pp. 1373-1382. ISSN 0362546X

Bauschke, Heinz H. and Borwein, Jonathan M. (1993) On the convergence of von Neumann's alternating projection algorithm for two sets. Set-Valued Analysis, 9 . pp. 185-212. ISSN 0927-6947

Borwein, Jonathan M. (1993) On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems. Mathematical Programming, 61 . pp. 251-262.

Borwein, Jonathan M. and Borwein, Peter (1993) On the generating function of the integer part: $[na+b]$. J. Number Theory, 43 . pp. 293-318.

Borwein, Jonathan M. and Lewis, Adrian (1993) Partially-finite programming in L1and the existence of maximum entropy estimates. SIAM Journal on Control and Optimization, 3 . pp. 248-267. ISSN 0363-0129

Borwein, Jonathan M. and Zhuang, D. (1993) Super-efficient in vector optimization. Trans. Amer. Math. Soc., 338 . pp. 105-122.

Borwein, Jonathan M. and Fitzpatrick, Simon (1993) A weak Hadamard smooth renorming of $L^1$. Canadian Math. Bulletin, 36 . pp. 407-413.

Borwein, Jonathan M. and Shituo, Lou (1992) Asymptotics of a sequence of Witt vectors. J. Approx Theory, 69 . pp. 326-337.

Borwein, Jonathan M. and Lewis, Adrian (1992) Decomposition of multivariate functions. Canadian Journal of Math., 44 (3). pp. 463-482.

Borwein, Jonathan M. and Zucker, I. J. (1992) Elliptic integral evaluation of the Gamma function at rational values of small denominator. IMA Journal on Numerical Analysis, 12 . pp. 519-526.

Borwein, Jonathan M. and Reich, Simeon and Shafrir, I. (1992) Krasnoselski-Mann iterations in normed spaces. Canadian Math. Bulletin, 35 . pp. 21-28.

Borwein, Jonathan M. and Lewis, Adrian (1992) Partially finite convex programming, part I: quasi relative interiors and duality theory. Mathematical Programming, 57 (1). pp. 15-48.

Borwein, Jonathan M. and Lewis, Adrian (1992) Partially finite convex programming, part II: explicit lattice models. Mathematical Programming, 57 . pp. 49-83.

Borwein, Jonathan M. and Thera, M. (1992) Sandwich theorems for vector valued operators. Canadian Math. Bulletin, 35 . pp. 326-337.

Borwein, Jonathan M. and Borwein, Peter (1992) Strange series evaluations and high precision fraud. Strange series evaluations and high precision fraud, 99 . pp. 622-640.

Borwein, Jonathan M. and Lewis, Adrian (1991) Convergence of best entropy estimates. SIAM J. Optimization, 1 . pp. 191-205.

Borwein, Jonathan M. and Lewis, Adrian (1991) Duality relationships for entropy-like minimization problems. SIAM Journal on Control and Optimization, 29 . pp. 325-338. ISSN 0363-0129

Borwein, Jonathan M. and Borwein, David (1991) Fixed points of real functions revisited. J. Math. Anal. Appl., 151 . pp. 112-126.

Borwein, Jonathan M. and Fitzpatrick, Simon and Kenderov, Petàr (1991) Minimal convex uscos and monotone operators on small sets. Canadian Journal of Mathematics , 43 (3). pp. 461-476.

Borwein, Jonathan M. and De Barra, G. (1991) Nested Radicals. MAA Monthly, 98 . pp. 735-739.

Borwein, Jonathan M. and Lewis, Adrian (1991) On the convergence of moment problems. Transactions of the American Mathematical Society , 325 . pp. 249-271.

Borwein, Jonathan M. and Zhuang, D. (1991) Super-efficiency. ZOR, 35 . pp. 175-184.

Borwein, Jonathan M. and Borwein, Peter (1991) A cubic counterpart of Jacobi's identity and the AGM. Trans. Amer. Math. Soc., 323 . pp. 691-701.

Beer, G. and Borwein, Jonathan M. (1990) Mosco convergence and reflexivity. Proceedings of the American Mathematical Society, 109 . pp. 427-436. ISSN 0002-9939

Borwein, Jonathan M. and Borwein, David and Shail, R. (1989) Analysis of certain lattice sums. J. Math. Anal. Appl., 143 . pp. 126-137.

Borwein, Jonathan M. and Fitzpatrick, Simon (1989) Existence of nearest points in Banach spaces. Canadian Journal of Mathematics, 61 (4). pp. 702-720.

Borwein, Jonathan M. and Fitzpatrick, Simon (1989) Mosco convergence and the Kadec property. Proceedings of the American Mathematical Society, 106 . pp. 843-851. ISSN 0002-9939

Borwein, Jonathan M. and Borwein, Peter (1989) On the mean iteration $(a,b)\rightarrow((a+3b)/4,(\surd ab+b)/2)$. Mathematics of Computation, 53 . pp. 311-326.

Borwein, Jonathan M. and Borwein, Peter and Dilcher, K. (1989) Pi, Euler numbers, and asymptotic expansions. American Mathematical Monthly, 96 . pp. 681-687.

Borwein, Jonathan M. and Borwein, Peter and Bailey, David H. (1989) Ramanujan, modular equations and pi or how to compute a billion digits of pi. MAA Monthly, 96 . pp. 201-219.

Borwein, Jonathan M. and Strojwas, H. M. (1989) The hypertangent cone. Nonlinear Analysis: Theory, Methods & Applications , 13 . pp. 125-139.

Borwein, Jonathan M. and Dempster, M. A. H. (1989) The linear order-complementarity problem. Math. Operations Research, 14 . pp. 534-558.

Borwein, David and Borwein, Jonathan M. and Shail, R. and Zucker, I. J. (1988) Energy of static electron lattices. Journal of Physics A: Mathematical and General, 21 . pp. 1519-1531.

Borwein, Jonathan M. and Fitzpatrick, Simon (1988) Local boundedness of monotone operators under minimal conditions. Australian Math Bull., 39 . pp. 439-441.

Borwein, Jonathan M. and Borwein, Peter (1988) On the complexity of familiar functions and numbers. SIAM review, 30 . pp. 589-601.

Barzilai, J. and Borwein, Jonathan M. (1988) Two point step-size methods. IMA Journal on Numerical Analysis, 8 . pp. 141-148.

Borwein, Jonathan M. and Zhuang, D. (1988) Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps. Journal of Mathematical Analysis and Applications, 134 . pp. 441-459.

Borwein, Jonathan M. and Tal, A. Ben and Teboulle, M. (1988) A dual approach to multidimensional spectral estimation problems. SIAM Journal on Control and Optimization, 26 . pp. 985-996. ISSN 0363-0129

Borwein, Jonathan M. (1987) Automatic continuity and openness of convex relations. Proc. Amer. Math. Soc., 99 . pp. 49-55.

Borwein, Jonathan M. (1987) Epi-Lipschitz-like sets in Banach space: theorems and examples. Nonlinear Analysis: Theory, Methods and Applications, 11 . pp. 1207-1217.

Ward, D. E. and Borwein, Jonathan M. (1987) Nonsmooth calculus in finite dimensions. SIAM Journal on Control and Optimization, 25 . pp. 1312-1340. ISSN 0363-0129

Borwein, Jonathan M. and Strojwas, H. M. (1987) Proximal analysis and boundaries of closed sets in Banach space, II. Canadian Journal of Math., 39 . pp. 428-472.

Borwein, Jonathan M. and Fitzpatrick, Simon and Giles, John (1987) The differentiability of real functions on normed linear space using generalized gradients. Journal of Optimization Theory and Applications, 128 . pp. 512-534.

Borwein, Jonathan M. and Giles, John (1987) The proximal normal formula in Banach space. Transactions of the American Mathematical Society , 302 . pp. 371-381.

Borwein, Jonathan M. and Preiss, D. (1987) A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions. Trans. Amer. Math. Soc., 303 . pp. 517-527.

Borwein, Jonathan M. and Borwein, Peter (1987) The way of all means. MAA Monthly, 94 . pp. 519-522.

Borwein, Jonathan M. (1986) Generic differentiability of order-bounded convex operators. Journal of the Australian Mathematical Society: Series B: Applied Mathematics, 23 . pp. 22-29.

Borwein, Jonathan M. and Borwein, Peter (1986) More quadratically converging algorithms for $\pi$. J. Math. Computation, 43 . pp. 247-253.

Borwein, Jonathan M. (1986) Norm duality for convex processes and applications. Journal of Optimization Theory and Applications, 48 . pp. 53-64.

Borwein, Jonathan M. and Zhuang, D. (1986) On Fan's minimax theorem. Math. Programming, 26 . pp. 232-234.

Borwein, Jonathan M. (1986) Partially monotone operators and the generic differentiability of convex-concave and bi-convex mappings. Israel Journal of Mathematics, 54 . pp. 42-50.

Borwein, Jonathan M. and Strojwas, H. M. (1986) Proximal analysis and boundaries of closed sets in Banach space, Part I: theory. Canadian Journal of Math., 38 . pp. 431-452.

Borwein, Jonathan M. (1986) Stability and regular points of inequality systems. Journal of Optimization Theory and Applications, 48 . pp. 9-52.

Borwein, Jonathan M. and Borwein, Peter (1986) An explicit cubic iteration for π. BIT Numerical Mathematics, 26 . pp. 123-126.

Borwein, Jonathan M. and Borwein, David (1986) A note on alternating series in several dimensions. MAA Monthly, 93 . pp. 531-539.

Borwein, Jonathan M. and Wolkowicz, H. (1986) A simple constraint qualification in infinite dimensional programming. Mathematical Programming, 35 . pp. 83-96.

Borwein, David and Borwein, Jonathan M. and Taylor, K. F. (1985) Convergence of lattice sums and Madelung's constant. J. Math. Phys., 26 . pp. 2999-3009.

Borwein, Jonathan M. and Tingley, D. A. (1985) On supportless convex sets. Proceedings of the American Mathematical Society, 94 . pp. 471-476. ISSN 0002-9939

Borwein, Jonathan M. (1985) Some modular identities of Ramanujan useful in approximating π. Proceedings of the American Mathematical Society, 95 . pp. 365-371. ISSN 0002-9939

Borwein, Jonathan M. and Strojwas, H. M. (1985) Tangential approximations. Nonlinear Analysis: Theory, Methods & Applications, 9 . pp. 1347-1366. ISSN 0362546X

Borwein, Jonathan M. and Yost, D. A. (1984) Absolute norms on vector lattices. Proc. Edinburgh Math. Soc., 27 . pp. 215-222.

Borwein, Jonathan M. and Penot, J. P. and Thera, M. (1984) Conjugate convex operators. J. Math. Anal. Appl., 102 . pp. 339-414.

Borwein, Jonathan M. and Borwein, Peter (1984) Cubic and higher order algorithms for π. Canadian Math Bulletin, 27 . pp. 339-356.

Borwein, Jonathan M. and Strojwas, H. M. (1984) Directionally Lipschitzian mappings on Baire spaces. Canadian Journal of Math., 36 . pp. 95-130.

Borwein, Jonathan M. and Richmond, L. B. (1984) How many matrices have roots? Canadian Journal of Math., 36 . pp. 286-299.

Borwein, Jonathan M. and Sims, Brailey (1984) Non-expansive mappings on Banach lattices and related topics. Houston Math. Journal, 10 . pp. 339-356.

Borwein, Jonathan M. (1984) On subgradients of convex operators. Math. Operationsforchung, 15 . pp. 179-181.

Borwein, Jonathan M. and Neuwenhuis, J. W. (1984) Two kinds of normality in vector optimization. Mathematical Programming, 28 . pp. 185-191.

Borwein, Jonathan M. and Borwein, Peter (1984) The arithmetic-geometric mean and fast computation of elementary functions. SIAM Review, 26 (3). pp. 351-366.

Borwein, Jonathan M. (1984) The generalized monotone linear complementarity problem treated without fixed point theory. Journal of Optimization Theory and Applications, 47 . pp. 343-356.

Borwein, Jonathan M. (1984) An integral characterization of Euclidean space. Bull. Aust. Math. Soc., 29 . pp. 357-364.

Borwein, Jonathan M. (1983) Adjoint process duality. Mathematics of Operations Research, 8 . pp. 403-434.

Borwein, Jonathan M. (1983) Completeness and the contraction principle. Proceedings of the American Mathematical Society, 87 . pp. 246-250. ISSN 0002-9939

Borwein, Jonathan M. and Kortanek, K. O. (1983) Fenchel duality and separably infinite programs. Math. Operationsforchung, 14 . pp. 37-48.

Borwein, Jonathan M. and Sims, Brailey (1983) Nonexpansive mappings on Banach lattices. Comptes Rendus Mathématiques de l'Académie des Sciences, 5 . pp. 21-26.

Borwein, Jonathan M. (1983) On the existence of Pareto efficient points. Math. of Oper. Res., 9 . pp. 64-73.

Borwein, Jonathan M. (1983) A note on the Farkas lemma. Utilitas Mathematica, 24 . pp. 235-241.

Borwein, Jonathan M. and Borwein, Peter (1983) A very rapidly convergent product expansion for π. BIT Numerical Mathematics, 23 . pp. 538-540.

Borwein, Jonathan M. and Wolkowicz, H. (1982) Characterizations of optimality without constraint qualification, I. Math. Programming Study, 19 . pp. 77-100.

Borwein, Jonathan M. (1982) Continuity and differentiability properties of convex operators. Proc. London Math. Soc., 44 . pp. 420-444.

Borwein, Jonathan M. (1982) Necessary and sufficient conditions for quadratic minimality. Numerical Funct. Anal. and Appl., 5 . pp. 127-140.

Borwein, Jonathan M. (1982) On the Hahn-Banach extension property. Proceedings of the American Mathematical Society, 86 . pp. 42-46. ISSN 0002-9939

Borwein, Jonathan M. and Styan, G. P. H. and Foster, L. V. and Wolkowicz, H. (1982) Some inequalities involving Statistical Expressions. SIAM Review, 24 . pp. 340-342.

Borwein, Jonathan M. (1982) A note on epsilon-subgradients and maximal monotonicity. Pacific J. Math., 103 . pp. 307-314.

Borwein, Jonathan M. (1982) A note on the existence of subgradients. Math. Programming, 24 . pp. 225-228.

Borwein, Jonathan M. and Wolkowicz, H. (1981) Characterizations of optimality for the abstract convex program with finite dimensional range. Journal Aust. Math. Soc. , 30 . pp. 390-411.

Borwein, Jonathan M. and Wolkowicz, H. (1981) Facial reduction for a cone-convex programming problem. Journal Aust. Math. Soc., 30 . pp. 369-380.

Borwein, Jonathan M. (1981) A Lagrange multiplier theorem and a sandwich theorem for convex relations. Math. Scand., 48 . pp. 198-204.

Borwein, Jonathan M. and Wolkowicz, H. (1981) Regularizing the abstract convex program. Journal of Mathematical Analysis and Applications, 83 . pp. 495-530.

Borwein, Jonathan M. (1981) Some remarks on a paper of Cobzas on antiproximal sets. Bull. Calcutta Math. Soc., 73 . pp. 5-8.

Borwein, Jonathan M. (1981) The direct method in semi-infinite programming. Math. Programming, 21 . pp. 301-318.

Borwein, Jonathan M. (1981) The limiting Lagrangian as a consequence of Helly's theorem. Journal of Optimization Theory and Applications, 33 . pp. 497-513.

Borwein, Jonathan M. (1980) The Geometry of Pareto optimality. Math. Operationsforchung, 11 . pp. 235-248.

Borwein, Jonathan M. and Keener, L. (1980) The Hausdorff metric and Cebysev centres. J. Approx. Theory, 28 . pp. 366-376.

Borwein, Jonathan M. (1980) Lexicographic multipliers. J. Math. Anal. and Appl., 78 . pp. 309-327.

Borwein, Jonathan M. and Tijs, S. (1980) Some generalizations of Caratheodory's theorem, via barycentres, with applications to mathematical programming. Canadian Math. Bulletin, 23 . pp. 339-346.

Borwein, Jonathan M. (1980) A note on perfect duality and limiting Lagrangians. Math. Programming, 18 . pp. 330-337.

Borwein, Jonathan M. (1980) A strong duality theorem for a minimum of a family of convex programs. Journal of Optimization Theory and Applications, 31 . pp. 453-478.

Borwein, Jonathan M. and O'Brien, R. (1979) Cancellation characterizes convexity. Nanta Math, 1 . pp. 100-102.

Borwein, Jonathan M. (1979) Monochrome lines in the plane. Math. Magazine, 52 . pp. 41-45.

Borwein, Jonathan M. (1979) Two variants of Sylvester's theorem. Atlantic Math. Bull., 3 . pp. 11-13.

Borwein, Jonathan M. (1979) Weak local supportability, generic Gateaux differentiability and applications to approximation in a weakly compactly generated space. Pacific J. Math., 82 . pp. 323-338.

Borwein, Jonathan M. (1979) A multivalued approach to the Farkas lemma. Mathematical Programming Studies, 10 . pp. 42-47.

Borwein, Jonathan M. (1978) On strongly exposing functionals. Proceedings of the American Mathematical Society, 69 . pp. 46-48. ISSN 0002-9939

Borwein, Jonathan M. (1978) Tangent cones, starshape and convexity. International J. Math. and Math. Sci., 1 . pp. 459-477.

Borwein, Jonathan M. (1978) Weak tangent cones and optimization in a Banach space. SIAM Journal on Control and Optimization, 16 . pp. 512-522. ISSN 0363-0129

Borwein, Jonathan M. (1977) Multivalued convexity and optimization: a unified approach to inequality and equality constraint. Math. Programming, 13 . pp. 183-199.

Borwein, Jonathan M. (1977) A PROOF OF THE EQUIVALENCE OF HELLY'S AND KRASNOSELSKI'S THEOREMS. Canadian Math. Bulletin, 20 (1).

Borwein, Jonathan M. (1977) Proper efficient points for maximizations with respect to cones. SIAM Journal on Control and Optimization, 15 . pp. 57-63. ISSN 0363-0129

Borwein, Jonathan M. and Edelstein, M. and O'Brien, R. (1977) Some remarks on visibility and starshape. J. London Math. Soc., 15 . pp. 342-344.

Borwein, Jonathan M. (1977) A proof of the equivalence of Helly's and Krasnoselski's theorem. Canadian Math. Bulletin, 70 . pp. 35-37.

Borwein, Jonathan M. (1976) Fractional programming without differentiability. Mathematical Programming, 11 . pp. 283-290.

Borwein, Jonathan M. (1976) On convex decompositions. Nanta. Math . (Unpublished)

Borwein, Jonathan M. and O'Brien, R. (1976) Tangent cones and convexity. Canadian Math. Bulletin, 19 . pp. 257-261.

Borwein, Jonathan M. and Edelstein, M. and O'Brien, R. (1976) Visibility and starshape. J. London Math. Soc., 14 . pp. 313-318.

Borwein, Jonathan M. (1976) A note on Fritz John sufficiency. Bull. Aust. Math. Soc. . pp. 293-296.

Borwein, Jonathan M. and Vanderwerff, Jon D. Constructions of Uniformly Convex Functions. Unpublished . (Unpublished)

Borwein, Jonathan M. and Vanderwerff, Jon D. Constructions of Uniformly Convex Functions. Unpublished . (Unpublished)

Borwein, Jonathan M. and Luke, D. Russell Entropic Regularization of the l_0 function. Unpublished . (Unpublished)

Borwein, Jonathan M. and Rose, Michael Expectations over Attractors of Iterated Function Systems. Applied Mathematics and Computation . (Submitted)

Bailey, David H. and Borwein, Jonathan M. and Broadhurst, David J. and Zudilin, Wadim Experimental Mathematics and Mathematical Physics. Contemporary Mathematics .

Bailey, David H. and Borwein, Jonathan M. and Broadhurst, David J. and Zudilin, Wadim Experimental Mathematics and Mathematical Physics. Unpublished . (Unpublished)

Bailey, David H. and Borwein, Jonathan M. and Barrio, Roberto High-Precision Computation: Mathematical Physics and Dynamics. Unpublished . (Unpublished)

Borwein, Jonathan M. The Life of Pi: From Archimedes to Eniac and Beyond. Unpublished . (Unpublished)

Piantadosi, Julia and Howlett, Phil and Borwein, Jonathan M. Modelling and simulation of seasonal rainfall. Journal of Hydrology . (Submitted)

Borwein, Jonathan M. and Nuyens, Dirk and Straub, Armin and Wan, James Random Walk Integrals. Unpublished . (Unpublished)

Borwein, Jonathan M. and Yao, Liangjin Recent progress on Monotone Operator Theory. Contemporary Mathematics . (In Press)

Borwein, Jonathan M. and Moors, Warren B. Stability of closedness of convex cones under linear mappings II. Unpublished . (Unpublished)

Borwein, Jonathan M. and Straub, Armin and Wan, James Three-step and Four-step Random Walk Integrals. none . (Unpublished)

Bailey, David H. and Borwein, Jonathan M. and de Pardo, Lopez M. and Zhu, Qiji J. The probability of backtest overfitting.

Book

Bailey, David H. and Borwein, Jonathan M. (2016) Pi: The Next Generation. Springer.

Monaghan, John and Trouche, Luc and Borwein, Jonathan M. (2016) Tools and Mathematics. Springer, Maths Education, Flier.

Bailey, David H. and Borwein, Jonathan M. (2015) Experimental Mathematics in the Society of the Future. UNSPECIFIED, 7th European Mathematics Congress (EMC) volume on Mathematics in the Society of the Future. (In Press)

Borwein, Jonathan M. and Straub, Armin (2015) Moments of random walks. Springer-Verlag, Mathematical Beauties 2016 Calendar.

Borwein, Jonathan M. (2015) Who we are and how we got that way. UNSPECIFIED, Ch. 12 in I, Mathematician (MAA).

Borwein, Jonathan M. and Poorten , Alf van der and Shallit, Jeffrey and Zudilin, Wadim (2014) Neverending Fractions: An Introduction to Continued Fractions. Cambridge University Press, Australian Mathematical Society Lecture Series.

Borwein, Jonathan M. and Glasser, M.L. and McPhedran, R. C. and Wan, J. G. and Zucker, I. J. (2013) Lattice Sums Then and Now. UNSPECIFIED, CUP, Flier.

Borwein, Jonathan M. and Shparlinski, Igor and Zudilin, Wadim (2013) Number Theory and Related Fields. UNSPECIFIED, Springer, May, Flier.

Borwein, Jonathan M. and Skerritt, Matthew P. (2011) An Introduction to Modern Mathematical Computing with Maple. Springer.

Borwein, Jonathan M. and Vanderwerff, Jon (2010) Convex Functions. UNSPECIFIED, Cambridge University Press, Flier.

Borwein, Jonathan M. and Devlin, Keith (2010) Experimentelle Mathematik. Springer.

Borwein, Jonathan M. (2009) SIAM REVIEW of of the Princeton Companion to Mathematics edited by Timothy Gowers with June Barrow-Green and Imre Leader, associate editors. UNSPECIFIED.

Borwein, Jonathan M. and Rocha, E. M. and Rodrigues, F. J. (2008) Communicating Math in the Digital Era. CRC Press.

Borwein, Jonathan M. and Devlin, Keith (2008) The Computer as Crucible: An Introduction to Experimental Mathematics. UNSPECIFIED.

Borwein, Jonathan M. and Bailey, David H. (2008) Math by Experiment. UNSPECIFIED.

Borwein, Jonathan M. (2007) Asplund Decompositions of Monotone Operators. ESAIM: Proceedings, Alain Pietrus & Michel H. Geoffroy, Editors, Control, Set-Valued Analysis and Applications.

Bailey, David H. and Borwein, Jonathan M. and Calkin, Neil J. and Luke, D. Russell and Girgensohn, Roland and Moll, Victor H. (2007) Experimental Mathematics in Action. UNSPECIFIED.

Borwein, Jonathan M. (2005) The Oxford User's Guide To Mathematics, SIAM Review. UNSPECIFIED.

Borwein, Jonathan M. and Lewis, Adrian (2005) Reviews of Convex Analysis and Nonlinear Optimization, Links and Addenda. UNSPECIFIED, 2nd Ed, Amazon.

Borwein, Jonathan M. and Zhu, Qiji J. (2005) Techniques of Variational Analysis. Springer.

Berggren, Lennart and Borwein, Jonathan M. and Borwein, Peter (2004) Pi: A Sourcebook. UNSPECIFIED, Amazon, Selecta and My Pi Files..

Borowski, E. J. and Borwein, Jonathan M. (2002) The HarperCollins Dictionary of Mathematics. UNSPECIFIED.

Borwein, Jonathan M. and Zhu, Qiji J. (2001) Multifunctional and functional analytic techniques in nonsmooth analysis. Unpublished. (Unpublished)

Borwein, Jonathan M. and Wong, Erick (1997) A survey of results relating to Giuga's conjecture on primality. UNSPECIFIED, Advances in the Mathematical Sciences--CRM's 25 Years .

Borwein, Jonathan M. The Future of Mathematics 1965--2065. UNSPECIFIED, A Century of Advancing Mathematics (MAA).

Book Section

Bailey, David H. and Borwein, Jonathan M. (2015) Experimental Applied Mathematics. In: The Princeton Companion to Applied Mathematics. Princeton University Press. (In Press)

Borwein, Jonathan M. (2012) Exploratory Experimentation: Digitally-Assisted Discovery and Proof. In: Chapter in ICMI Study 19: On Proof and Proving in Mathematics Education. G. Hanna and M. de Villiers (Eds.). Springer-Verlag. ISBN 978-94-007-2128-9

Borwein, Jonathan M. and Tam, Matthew K (2012) Reflection methods for inverse problems with applications to protein conformation determination. In: CIMPA school Generalized Nash Equilibrium Problems, Bilevel programming and MPEC. New Delhi, India.

Borwein, Jonathan M. and Sims, Brailey (2011) The Douglas-Rachford algorithm in the absence of convexity. In: Fixed-Point Algorithms for Inverse Problems in Science and Engineering. Springer Optimization and Its Applications (49). Springer. ISBN 978-1-4419-9568-1 (In Press)

Borwein, Jonathan M. and Sims, Brailey (2011) The Douglas-Rachford algorithm in the absence of convexity. In: UNSPECIFIED Springer Optimization and Its Applications, 49 . UNSPECIFIED, pp. 93-109.

Borwein, Jonathan M. and Luke, D. Russell (2011) Entropic Regularization of the \ell₀ function. In: UNSPECIFIED Springer Optimization and Its Applications, 49 . UNSPECIFIED, pp. 65-91.

Borwein, Jonathan M. (2010) Future Challenges for Variational Analysis. In: Variational analysis and generalized differentiation in optimization and control. Springer Optim. Appl., Springer, New York.

Borwein, Jonathan M. (2008) Implications of Experimental Mathematics for the Philosophy of Mathematics. In: Cover Image in Proof and Other Dilemmas: Mathematics and Philosophy. Bonnie Gold and Roger Simons Eds, MAA Spectrum Series, pp. 33-61.

Borwein, Jonathan M. (2006) Aesthetics for the Working Mathematician. In: Mathematics and the aesthetic: Modern approaches to an ancient affinity. CMS-Springer Books, pp. 21-40.

Borwein, Jonathan M. and Bailey, David H. (2005) Future Prospects for Computer-Assisted Mathematics. In: UNSPECIFIED Canadian Mathematical Society Notes, pp. 2-6.

Borwein, Jonathan M. and Karamanos, Kostas (2005) Algebraic dynamics of certain Gamma function values. In: Generalized Convexity and Generalized Monotonicity, Nonconvex Optimization and its Applications. Springer, Eberhard, Andrew; Hadjisavvas, Nicolas; Luc, Dinh The (Eds.) , pp. 3-21. ISBN 0-387-23638-4

Borwein, Jonathan M. and Bailey, David H. (2000) Experimental Mathematics: Recent Developments and Future Outlook. In: Mathematics Unlimited --$2\infty1$ and Beyond, B. Engquist and W. Schmid (Eds.),. Springer-Verlag, pp. 51-66. ISBN 3-540-66913-2

Conference Paper

Borwein, Jonathan M. and Jungic, Veselin and Langstroth, David and Macklem, Mason S. and Wilson, Scott (2007) The Coast-to-Coast Seminar: Five Years of Experience With AccessGrid. [Conference Paper ] (Unpublished)

Borwein, Jonathan M. and Macklem, Mason S. (2007) Retro-enhancement of Recent Mathematical Literature. [Conference Paper ] (Unpublished)

Conference or Workshop Item

Borwein, Jonathan M. and Sciffer, Scott (2010) An explicit non-expansive function whose subdifferential is the entire dual ball. In: Technion Meeting on Nonlinear Analysis, AMS Proceedings in Contemporary Mathematics.

Bailey, David H. and Borwein, Jonathan M. (2009) High-Precision Computation and Mathematical Physics. In: XII Advanced Computing and Analysis Techniques in Physics Research, Proceedings in Science.

Borwein, Jonathan M. (2009) Digitally-Assisted Discovery and Proof. In: Proceedings of ICMI Study 19 Workshop "On Proof and Proving", May 10-15, 2009, National University of Taiwan.

Borwein, Jonathan M. and Bailey, David H. (2008) High-Precision Numerical Integration:Progress and Challenges. In: MICA conference.

Borwein, Jonathan M. and Bailey, David H. (2006) Effective Error Bounds in Euler-Maclaurin-Based Quadrature Schemes. In: High-Performance Computing in an Advanced Collaborative Environment, 14-17 May 2006, HPCS 2006. 20th International Symposium on.

Borwein, Jonathan M. and Macklem, Mason S. and Paek, Jaehyun (2005) A Prototype for the Federated World Directory of Mathematicians. In: SIAM Conference on Computational Science and Engineering, 2005, Orlando.

Borwein, Jonathan M. (2004) Mathematics by Experiment: Plausible Reasoning in the 21st Century. In: ICME10 Proceedings, July 2008.

Borwein, Jonathan M. and Wang, Shawn Xianfu (2001) Subdifferentiability of Typical Continuous Functions. In: Proceedings of CMS Special Session on Nonlinear Analysis and Its Applications, Nonlinear Analysis Forum.

Borwein, Jonathan M. and Stanway, Terry (2000) Numerical and Computational Mathematics (at the undergraduate level). In: Proceedings of the Conference on Technology in Mathematics Education Secondary and Tertiary Levels, 2-4 June, 1999, Brock University. Bruce Cload and Tom Jenkyns eds., Brock Univ. Press.

Bauschke, Heinz H. and Borwein, Jonathan M. (1999) Conical open mapping theorems and regularity. In: Proceedings of the Centre for Mathematics and its Applications (Australian National University) , March 1998, National Symposium on Functional Analysis, Optimization and Applications.

Borwein, Jonathan M. and Stanway, Terry (1999) The Impact of Technology on the Doing of Mathematics. In: Canadian Mathematics Education Study Group (CMESG) Proceedings 1999 Annual Meeting. John Grant McGloughlin ed., Memorial Univ. Press.

Borwein, Jonathan M. and Moors, Warren B. (1996) Lipschitz functions with minimal Clarke subdifferential mappings. In: Proc. Optimization Miniconference III, B. M. Glover and D. Ralph eds, University of Melbourne, July 1996, University of Ballarat.

Borwein, Jonathan M. and Bradley, David M. (1996) Searching symbolically for Apery-like Formulae for values of the Riemann Zeta Function. In: Sigsam Bulletin: Communications in Computer Algebra, June 1996.

Borwein, Jonathan M. and Fitzpatrick, Simon (1995) Characterization of Clarke subgradients among one-dimensional multifunctions. In: Proceedings of the Optimization Miniconference II, 1995, Univ Ballarat Press.

In Collection

Borwein, Jonathan M. and Jungic, Veselin and Langstroth, David and Macklem, Mason S. and Wilson, Scott (2006) Coast-to-Coast Seminar: Background, History, and Practice. [In Collection] (In Press)

In Proceedings

Borwein, Jonathan M. and Burachik, Regina S. and Yao, Liangjin (2011) Monotone operators without enlargements. [In Proceedings]

Bailey, D.H. and Borwein, Jonathan M. (2011) Normal Numbers and Pseudorandom Generators. [In Proceedings]

Monograph

Borwein, Jonathan M. and Fabian, Marian and Vanderwerff, Jon D. (1993) Locally Lipschitz Functions and Bornological Derivatives. Working Paper. CECM .

Other

Borwein, Jonathan M. and Borwein, Peter and Berggren, Lennart (2003) A Pamphlet on Pi. UNSPECIFIED. (Unpublished)

Preprint

Borwein, Jonathan M. and Bradley, David M. (2005) On Two Fundamental Identities For Euler Sums. [Preprint]

Borwein, Jonathan M. and Luke, D. Russell (2004) Dynamics of generalizations of the AGM continued fraction of Ramanujan. Part I: divergence. [Preprint]

Borwein, Jonathan M. (2004) The Life of Pi: From Archimedes to ENIAC and Beyond. [Preprint]

Borwein, Jonathan M. and Bailey, David H. and Girgensohn, Roland (2003) Mathematics by Experiment: Plausible Reasoning in the 21st Century and Experiments in Mathematics: Computational Paths to Discovery. [Preprint] (Unpublished)

Borwein, Jonathan M. and Borwein, Peter (2001) Challenges in Mathematical Computing. [Preprint]

Borwein, Jonathan M. and Broadhurst, David J. (1998) Determinations of rational Dedekind-zeta invariants of hyperbolic manifolds and Feynman knots and links. [Preprint]

Marechal, Pierre and Togane, D. and Celler, Anna and Borwein, Jonathan M. (1998) Numerical Assessment of the Stability of Reconstruction Processes for Computed Tomography. [Preprint]

Borwein, Jonathan M. and Borwein, Peter and Corless, Robert M. and Jorgenson, Loki and Sinclair, Nathalie (1996) What is Organic Mathematics? [Preprint]

Borwein, Jonathan M. and Garvan, F.G. (1996) Approximations to Pi via the Dedekind eta function. [Preprint]

Borwein, Jonathan M. and Fitzpatrick, Simon (1995) Closed convex Haar null sets. [Preprint]

Borwein, Jonathan M. and Vanderwerff, Jon D. (1995) Convex Functions on `Sequentially Reflexive'' Banach Spaces. [Preprint]

Bauschke, Heinz H. and Borwein, Jonathan M. (1995) Continuous Linear Monotone Operators on Banach Spaces. [Preprint]

Borwein, Jonathan M. (1994) A Survey of Examples of Convex Functions and Classifications of Normed Space. [Preprint]

Bauschke, Heinz H. and Borwein, Jonathan M. and Lewis, Adrian (1994) On the method of cyclic projections for convex sets in Hilbert space. [Preprint]

Print Journal

Borwein, Jonathan M. and Macklem, Mason S. (2004) The (Digital) Life of Pi. [Print Journal] (Unpublished)

Talk

Borwein, Jonathan M. (1997) Mathematical publication on the web. [Talk] (Unpublished)

This list was generated on Wed Sep 27 00:24:20 2017 AEST.