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Jonathan M. Borwein
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Publications
- 2018
- [j116]David H. Bailey, Jonathan M. Borwein:
Computation and Experimental Evaluation of Mordell-Tornheim-Witten Sum Derivatives. Exp. Math. 27(3): 370-376 (2018) - [j114]Jonathan M. Borwein, Robert M. Corless:
Gamma and Factorial in the Monthly. Am. Math. Mon. 125(5): 400-424 (2018) - 2017
- [j113]David H. Bailey, Jonathan M. Borwein, Richard P. Brent, Mohsen Reisi:
Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi. Exp. Math. 26(3): 298-305 (2017) - [j112]David H. Bailey, Jonathan M. Borwein, Jason S. Kimberley, Watson Ladd:
Computer Discovery and Analysis of Large Poisson Polynomials. Exp. Math. 26(3): 349-363 (2017) - [j111]Jonathan M. Borwein, Neil J. Calkin, Scott B. Lindstrom, Andrew Mattingly:
Continued Logarithms and Associated Continued Fractions. Exp. Math. 26(4): 412-429 (2017) - [j110]Jonathan M. Borwein, Kevin G. Hare, Jason G. Lynch:
Generalized Continued Logarithms and Related Continued Fractions. J. Integer Seq. 20(5): 17.5.7 (2017) - [j109]Jonathan M. Borwein, Guoyin Li, Matthew K. Tam:
Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems. SIAM J. Optim. 27(1): 1-33 (2017) - 2016
- [j108]Francisco J. Aragón Artacho, Jonathan M. Borwein, Matthew K. Tam:
Global behavior of the Douglas-Rachford method for a nonconvex feasibility problem. J. Glob. Optim. 65(2): 309-327 (2016) - [j106]Jonathan M. Borwein, Joydeep Dutta:
Maximal Monotone Inclusions and Fitzpatrick Functions. J. Optim. Theory Appl. 171(3): 757-784 (2016) - [j105]David H. Bailey, Jonathan M. Borwein:
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums. Math. Comput. 85(297): 295-324 (2016) - 2015
- [j104]David H. Bailey, Jonathan M. Borwein:
Crandall's computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series. Appl. Math. Comput. 268: 462-477 (2015) - [j103]Jonathan M. Borwein, Armin Straub:
Relations for Nielsen polylogarithms. J. Approx. Theory 193: 74-88 (2015) - [j102]David H. Bailey, Jonathan M. Borwein:
Computation and theory of Mordell-Tornheim-Witten sums II. J. Approx. Theory 197: 115-140 (2015) - [r1]Jonathan M. Borwein, D. Russell Luke:
Duality and Convex Programming. Handbook of Mathematical Methods in Imaging 2015: 257-304 - 2014
- [j98]Jonathan M. Borwein, Matthew K. Tam:
A Cyclic Douglas-Rachford Iteration Scheme. J. Optim. Theory Appl. 160(1): 1-29 (2014) - [j97]Francisco J. Aragón Artacho, Jonathan M. Borwein, Matthew K. Tam:
Recent Results on Douglas-Rachford Methods for Combinatorial Optimization Problems. J. Optim. Theory Appl. 163(1): 1-30 (2014) - [j96]David H. Bailey, Jonathan M. Borwein, Alexander D. Kaiser:
Automated simplification of large symbolic expressions. J. Symb. Comput. 60: 120-136 (2014) - [j95]David H. Bailey, Jonathan M. Borwein, Richard E. Crandall:
Computation and theory of extended Mordell-Tornheim-Witten sums. Math. Comput. 83(288): 1795-1821 (2014) - [j94]Francisco J. Aragón Artacho, Jonathan M. Borwein, Victoria Martín-Márquez, Liangjin Yao:
Applications of convex analysis within mathematics. Math. Program. 148(1-2): 49-88 (2014) - [j93]Jonathan M. Borwein, Liangjin Yao:
Some results on the convexity of the closure of the domain of a maximally monotone operator. Optim. Lett. 8(1): 237-246 (2014) - [j92]Jonathan M. Borwein, Guoyin Li, Liangjin Yao:
Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets. SIAM J. Optim. 24(1): 498-527 (2014) - [j91]David H. Bailey, Jonathan M. Borwein:
Pi Day Is Upon Us Again and We Still Do Not Know if Pi Is Normal. Am. Math. Mon. 121(3): 191-206 (2014) - [j90]David Borwein, Jonathan M. Borwein, Brailey Sims:
On the Solution of Linear Mean Recurrences. Am. Math. Mon. 121(6): 486-498 (2014) - [j89]David Borwein, Jonathan M. Borwein:
Deriving New Sinc Results from Old. Am. Math. Mon. 121(8): 700-705 (2014) - [i3]Doug James, Nancy Wilkins-Diehr, Victoria Stodden, Dirk Colbry, Carlos Rosales, Mark R. Fahey, Justin Shi, Rafael Ferreira da Silva, Kyo Lee, Ralph Roskies, Laurence Loewe, Susan Lindsey, Rob Kooper, Lorena A. Barba, David H. Bailey, Jonathan M. Borwein, Óscar Corcho, Ewa Deelman, Michael C. Dietze, Benjamin Gilbert, Jan Harkes, Seth Keele, Praveen Kumar, Jong Lee, Erika Linke, Richard Marciano, Luigi Marini, Chris Mattmann, Dave Mattson, Kenton McHenry, Robert T. McLay, Sheila Miguez, Barbara S. Minsker, María S. Pérez-Hernández, Dan Ryan, Mats Rynge, Idafen Santana-Pérez, Mahadev Satyanarayanan, Gloriana St. Clair, Keith Webster, Eivind Hovig, Daniel S. Katz, Sophie Kay, Geir Kjetil Sandve, David Skinner, Gabrielle Allen, John Cazes, Kym Won Cho, Jim Fonseca, Lorraine J. Hwang, Lars Koesterke, Pragnesh Patel, Line Pouchard, Edward Seidel, Isuru Suriarachchi:
Standing Together for Reproducibility in Large-Scale Computing: Report on reproducibility@XSEDE. CoRR abs/1412.5557 (2014) - 2013
- [j88]David H. Bailey, Jonathan M. Borwein, Richard E. Crandall, Michael G. Rose:
Expectations on fractal sets. Appl. Math. Comput. 220: 695-721 (2013) - [j87]Jonathan M. Borwein, Armin Straub, James G. Wan:
Three-Step and Four-Step Random Walk Integrals. Exp. Math. 22(1): 1-14 (2013) - [j86]Francisco J. Aragón Artacho, Jonathan M. Borwein:
Global convergence of a non-convex Douglas-Rachford iteration. J. Glob. Optim. 57(3): 753-769 (2013) - [j85]Jonathan M. Borwein, Liangjin Yao:
Structure Theory for Maximally Monotone Operators with Points of Continuity. J. Optim. Theory Appl. 157(1): 1-24 (2013) - [j84]Jonathan M. Borwein, Armin Straub:
Mahler measures, short walks and log-sine integrals. Theor. Comput. Sci. 479: 4-21 (2013) - [e2]Jonathan M. Borwein, Igor E. Shparlinski, Wadim Zudilin:
Number Theory and Related Fields, In Memory of Alf van der Poorten. Springer 2013, ISBN 978-1-4614-6641-3 [contents] - 2012
- [j83]David H. Bailey, Roberto Barrio, Jonathan M. Borwein:
High-precision computation: Mathematical physics and dynamics. Appl. Math. Comput. 218(20): 10106-10121 (2012) - [j82]David H. Bailey, Jonathan M. Borwein, Cristian S. Calude, Michael J. Dinneen, Monica Dumitrescu, Alex Yee:
An Empirical Approach to the Normality of π. Exp. Math. 21(4): 375-384 (2012) - [j81]David Borwein, Jonathan M. Borwein, Armin Straub, James G. Wan:
Log-Sine Evaluations of Mahler Measures, II. Integers 12A: A5 (2012) - [j80]David H. Bailey, Jonathan M. Borwein:
Hand-to-hand combat with thousand-digit integrals. J. Comput. Sci. 3(3): 77-86 (2012) - [j78]Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang, Liangjin Yao:
Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type. Optim. Lett. 6(8): 1875-1881 (2012) - [j77]David Borwein, Jonathan M. Borwein, Armin Straub:
A Sinc that Sank. Am. Math. Mon. 119(7): 535-549 (2012) - [j76]David H. Bailey, Jonathan M. Borwein:
Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics. Am. Math. Mon. 119(8): 646-657 (2012) - 2011
- [j75]David H. Bailey, Jonathan M. Borwein:
High-precision numerical integration: Progress and challenges. J. Symb. Comput. 46(7): 741-754 (2011) - [c8]Jonathan M. Borwein, Armin Straub:
Special values of generalized log-sine integrals. ISSAC 2011: 43-50 - [p2]Jonathan M. Borwein, D. Russell Luke:
Entropic Regularization of the ℓ 0 Function. Fixed-Point Algorithms for Inverse Problems in Science and Engineering 2011: 65-92 - [p1]Jonathan M. Borwein, Brailey Sims:
The Douglas-Rachford Algorithm in the Absence of Convexity. Fixed-Point Algorithms for Inverse Problems in Science and Engineering 2011: 93-109 - [i2]Jonathan M. Borwein, Armin Straub:
Special Values of Generalized Log-sine Integrals. CoRR abs/1103.4298 (2011) - 2010
- [j74]Jonathan M. Borwein, O-Yeat Chan, Richard E. Crandall:
Higher-Dimensional Box Integrals. Exp. Math. 19(4): 431-446 (2010) - [j73]David H. Bailey, Jonathan M. Borwein, Richard E. Crandall:
Advances in the theory of box integrals. Math. Comput. 79(271): 1839-1866 (2010) - [j71]David Borwein, Jonathan M. Borwein, Isaac E. Leonard:
Lp Norms and the Sinc Function. Am. Math. Mon. 117(6): 528-539 (2010) - 2009
- [j70]David H. Bailey, Jonathan M. Borwein, Richard E. Crandall:
Resolution of the Quinn-Rand-Strogatz Constant of Nonlinear Physics. Exp. Math. 18(1): 107-116 (2009) - [j69]Jonathan M. Borwein, Chris H. Hamilton:
Symbolic Fenchel Conjugation. Math. Program. 116(1-2): 17-35 (2009) - [j68]Jonathan M. Borwein, Neil J. Calkin, Dante Manna:
Euler-Boole Summation Revisited. Am. Math. Mon. 116(5): 387-412 (2009) - 2008
- [j66]David Borwein, Jonathan M. Borwein, Richard E. Crandall:
Effective Laguerre Asymptotics. SIAM J. Numer. Anal. 46(6): 3285-3312 (2008) - [j64]Robert Baillie, David Borwein, Jonathan M. Borwein:
Surprising Sinc Sums and Integrals. Am. Math. Mon. 115(10): 888-901 (2008) - 2007
- [j63]David H. Bailey, David Borwein, Jonathan M. Borwein, Richard E. Crandall:
Hypergeometric Forms for Ising-Class Integrals. Exp. Math. 16(3): 257-276 (2007) - [j62]Jonathan M. Borwein, Marc Chamberland:
Integer Powers of Arcsin. Int. J. Math. Math. Sci. 2007: 19381:1-19381:10 (2007) - [j60]Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang:
Fitzpatrick Functions and Continuous Linear Monotone Operators. SIAM J. Optim. 18(3): 789-809 (2007) - [c6]Jonathan M. Borwein, David Langstroth, Mason S. Macklem, Scott Wilson:
The Coast-to-Coast Seminar and Remote Mathematical Collaboration. HPCS 2007: 23 - 2006
- [j57]David H. Bailey, Jonathan M. Borwein, David M. Bradley:
Experimental Determination of Apéry-like Identities for ς(2n + 2). Exp. Math. 15(3): 281-289 (2006) - [j55]David H. Bailey, Jonathan M. Borwein, Vishaal Kapoor, Eric W. Weisstein:
Ten Problems in Experimental Mathematics. Am. Math. Mon. 113(6): 481-509 (2006) - [c5]David H. Bailey, Jonathan M. Borwein:
Effective Bounds in Euler-Maclaurin-Based Quadrature (Summary for HPCS06). HPCS 2006: 34 - [c4]Jonathan M. Borwein, Chris H. Hamilton:
Symbolic computation of multidimensional Fenchel conjugates. ISSAC 2006: 23-30 - 2005
- [j54]Jonathan M. Borwein, Kwok-Kwong Stephen Choi, Wilfried Pigulla:
Continued Fractions of Tails of Hypergeometric Series. Am. Math. Mon. 112(6): 493-501 (2005) - 2004
- [b2]Jonathan M. Borwein, David H. Bailey, Roland Girgensohn:
Experimentation in mathematics - computational paths to discovery. A K Peters 2004, ISBN 978-1-56881-136-9, pp. I-X, 1-357 - [j52]Jonathan M. Borwein, Richard E. Crandall, Greg Fee:
On the Ramanujan AGM Fraction, I: The Real-Parameter Case. Exp. Math. 13(3): 275-285 (2004) - [j51]Jonathan M. Borwein, Richard E. Crandall:
On the Ramanujan AGM Fraction, II: The Complex-Parameter Case. Exp. Math. 13(3): 287-295 (2004) - 2003
- [b1]Jonathan M. Borwein, David H. Bailey:
Mathematics by experiment - plausible reasoning in the 21st century. A K Peters 2003, ISBN 978-1-56881-211-3, pp. I-X, 1-288 - [j49]Heinz H. Bauschke, Jonathan M. Borwein, Patrick L. Combettes:
Bregman Monotone Optimization Algorithms. SIAM J. Control. Optim. 42(2): 596-636 (2003) - [j48]Jonathan M. Borwein, Rustum Choksi, Pierre Maréchal:
Probability Distributions of Assets Inferred from Option Prices via the Principle of Maximum Entropy. SIAM J. Optim. 14(2): 464-478 (2003) - [j47]David Borwein, Jonathan M. Borwein, Jamal Rooin:
Problem 11009. Am. Math. Mon. 110(4): 341 (2003) - 2001
- [j45]Jonathan M. Borwein, Peter B. Borwein:
Challenges in mathematical computing. Comput. Sci. Eng. 3(3): 48-53 (2001) - [j44]Jonathan M. Borwein, David John Broadhurst, Joel Kamnitzer:
Central Binomial Sums, Multiple Clausen Values, and Zeta Values. Exp. Math. 10(1): 25-34 (2001) - 2000
- [j42]Jonathan M. Borwein, Petr Lisonek:
Applications of integer relation algorithms. Discret. Math. 217(1-3): 65-82 (2000) - [j41]Jonathan M. Borwein, Kwok-Kwong Stephen Choi:
On the Representations of xy + yz + ZX. Exp. Math. 9(1): 153-158 (2000) - [j40]Jonathan M. Borwein, Pierre Maréchal, David Naugler:
A convex dual approach to the computation of NMR complex spectra. Math. Methods Oper. Res. 51(1): 91-102 (2000) - [j39]David Borwein, Jonathan M. Borwein, Pierre Maréchal:
Surprise Maximization. Am. Math. Mon. 107(6): 517-527 (2000) - 1999
- [j37]Heinz H. Bauschke, Jonathan M. Borwein, Wu Li:
Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization. Math. Program. 86(1): 135-160 (1999) - [j36]Heinz H. Bauschke, Dominikus Noll, Anna Celler, Jonathan M. Borwein:
An EM-Algorithm for Dynamic SPECT. IEEE Trans. Medical Imaging 18(3): 252-261 (1999) - 1998
- [j34]Jonathan M. Borwein, David M. Bradley, David John Broadhurst, Petr Lisonek:
Combinatorial Aspects of Multiple Zeta Values. Electron. J. Comb. 5 (1998) - 1997
- [j30]Jonathan M. Borwein, David M. Bradley, David John Broadhurst:
Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k. Electron. J. Comb. 4(2) (1997) - [j29]Jonathan M. Borwein, David M. Bradley:
Empirically Determined Apéry-Like Formulae for ζ(4n+3). Exp. Math. 6(3): 181-194 (1997) - [j28]David H. Bailey, Jonathan M. Borwein, Richard E. Crandall:
On the Khintchine constant . Math. Comput. 66(217): 417-431 (1997) - 1996
- [j27]Jonathan M. Borwein, David M. Bradley:
Searching symbolically for Ape'ry-like formulae for values of the Riemann zeta function. SIGSAM Bull. 30(2): 2-7 (1996) - [j26]Jonathan M. Borwein, Roland Girgensohn:
Evaluation of Triple Euler Sums. Electron. J. Comb. 3(1) (1996) - [j25]Jonathan M. Borwein, Adrian S. Lewis, Dominikus Noll:
Maximum Entropy Reconstruction Using Derivative Information, Part 1: Fisher Information and Convex Duality. Math. Oper. Res. 21(2): 442-468 (1996) - [j24]Jonathan M. Borwein, Robert M. Corless:
The Encyclopedia of Integer Sequences (N. J. A. Sloane and Simon Plouffe). SIAM Rev. 38(2): 333-337 (1996) - [j23]Heinz H. Bauschke, Jonathan M. Borwein:
On Projection Algorithms for Solving Convex Feasibility Problems. SIAM Rev. 38(3): 367-426 (1996) - 1995
- [c1]David H. Bailey, Jonathan M. Borwein, Roland Girgensohn:
Finding New Mathematical Identities with Supercomputers. PPSC 1995: 245-248 - 1994
- [j21]David H. Bailey, Jonathan M. Borwein, Roland Girgensohn:
Experimental Evaluation of Euler Sums. Exp. Math. 3(1): 17-30 (1994) - [j19]Jonathan M. Borwein, Adrian S. Lewis:
Strong Rotundity and Optimization. SIAM J. Optim. 4(1): 146-158 (1994) - 1993
- [j17]Jonathan M. Borwein, Adrian S. Lewis:
Partially-Finite Programming in L1 and the Existence of Maximum Entropy Estimates. SIAM J. Optim. 3(2): 248-267 (1993) - 1992
- [j16]Jonathan M. Borwein, Adrian S. Lewis:
Partially finite convex programming, Part I: Quasi relative interiors and duality theory. Math. Program. 57: 15-48 (1992) - [j15]Jonathan M. Borwein, Adrian S. Lewis:
Partially finite convex programming, Part II: Explicit lattice models. Math. Program. 57: 49-83 (1992) - 1991
- [j13]Jonathan M. Borwein, Adrian S. Lewis:
Convergence of Best Entropy Estimates. SIAM J. Optim. 1(2): 191-205 (1991) - 1986
- [j9]Jonathan M. Borwein, Henry Wolkowicz:
A simple constraint qualification in infinite dimensional programming. Math. Program. 35(1): 83-96 (1986)
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