default search action
Jonathan M. Borwein
Jonathan Michael Borwein
Person information
Refine list
refinements active!
zoomed in on ?? of ?? records
view refined list in
export refined list as
showing all ?? records
2010 – 2019
- 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) - [j115]Jonathan M. Borwein, Ohad Giladi:
Convex analysis in groups and semigroups: a sampler. Math. Program. 168(1-2): 11-53 (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) - [j107]Jonathan M. Borwein, Qiji J. Zhu:
A Variational Approach to Lagrange Multipliers. J. Optim. Theory Appl. 171(3): 727-756 (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) - [j101]Jonathan M. Borwein, Scott T. Chapman:
I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly. Am. Math. Mon. 122(3): 195-216 (2015) - [j100]Jonathan M. Borwein, Scott T. Chapman:
I Prefer Pi: Addenda. Am. Math. Mon. 122(8): 800 (2015) - [r1]Jonathan M. Borwein, D. Russell Luke:
Duality and Convex Programming. Handbook of Mathematical Methods in Imaging 2015: 257-304 - 2014
- [j99]Jonathan M. Borwein, Phil G. Howlett, Julia Piantadosi:
Modelling and Simulation of Seasonal Rainfall Using the Principle of Maximum Entropy. Entropy 16(2): 747-769 (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) - [c9]Jonathan M. Borwein:
Experimental Computation and Visual Theorems. ICMS 2014: 1-8 - [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) - [j79]Julia Piantadosi, Phil G. Howlett, Jonathan M. Borwein:
Copulas with maximum entropy. Optim. Lett. 6(1): 99-125 (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 - [c7]Jonathan M. Borwein:
Mahler measures, short walks and log-sine integrals: a case study in hybrid computation. SNC 2011: 1 - [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) - [j72]Jonathan M. Borwein:
Fifty years of maximal monotonicity. Optim. Lett. 4(4): 473-490 (2010) - [j71]David Borwein, Jonathan M. Borwein, Isaac E. Leonard:
Lp Norms and the Sinc Function. Am. Math. Mon. 117(6): 528-539 (2010)
2000 – 2009
- 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
- [j67]Jonathan M. Borwein, Bruno Salvy:
A Proof of a Recurrence for Bessel Moments. Exp. Math. 17(2): 223-230 (2008) - [j66]David Borwein, Jonathan M. Borwein, Richard E. Crandall:
Effective Laguerre Asymptotics. SIAM J. Numer. Anal. 46(6): 3285-3312 (2008) - [j65]Jonathan M. Borwein:
Hilbert's Inequality and Witten's Zeta-Function. Am. Math. Mon. 115(2): 125-137 (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) - [j61]Jonathan M. Borwein:
Proximality and Chebyshev sets. Optim. Lett. 1(1): 21-32 (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) - [j59]Jonathan M. Borwein, Herre Wiersma:
Asplund Decomposition of Monotone Operators. SIAM J. Optim. 18(3): 946-960 (2007) - [j58]Jonathan M. Borwein:
A Class of Dirichlet Series Integrals. Am. Math. Mon. 114(1): 70-76 (2007) - [c6]Jonathan M. Borwein, David Langstroth, Mason S. Macklem, Scott Wilson:
The Coast-to-Coast Seminar and Remote Mathematical Collaboration. HPCS 2007: 23 - [i1]Jonathan M. Borwein, Bruno Salvy:
A Proof of a Recursion for Bessel Moments. CoRR abs/0706.1409 (2007) - 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) - [j56]Jonathan M. Borwein, Qiji J. Zhu:
Variational Methods in Convex Analysis. J. Glob. Optim. 35(2): 197-213 (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 - [e1]Jonathan M. Borwein, William M. Farmer:
Mathematical Knowledge Management, 5th International Conference, MKM 2006, Wokingham, UK, August 11-12, 2006, Proceedings. Lecture Notes in Computer Science 4108, Springer 2006, ISBN 3-540-37104-4 [contents] - 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) - [j53]Jonathan M. Borwein:
The Experimental Mathematician: the Pleasure of Discovery and the Role of Proof. Int. J. Comput. Math. Learn. 10(2): 75-108 (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 - [j50]Melanie Kellar, Bonnie MacKay, Rui Zhang, Carolyn R. Watters, David Kaufman, Jonathan M. Borwein:
Dynamic Composition of Math Lessons. J. Educ. Technol. Soc. 6(4): 100-111 (2003) - [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) - [c3]Jonathan M. Borwein, Terry Stanway:
Managing Digital Mathematical Discourse. MKM 2003: 45-55 - [c2]Melanie Kellar, Bonnie MacKay, Rui Zhang, Carolyn R. Watters, David Kaufman, Jonathan M. Borwein:
Architecture to Support Dynamic Composition of Math Lesson Plans. SAC 2003: 569-574 - 2002
- [j46]Jonathan M. Borwein, M. Jiménez-Sevilla, José Pedro Moreno:
Antiproximinal Norms in Banach Spaces. J. Approx. Theory 114(1): 57-69 (2002) - 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) - [j43]Peter Lindqvist, Jaak Peetre, Jonathan M. Borwein:
Generalized Trigonometric Functions: 10744. Am. Math. Mon. 108(5): 473-474 (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) - [j38]Radu Theodorescu, Jonathan M. Borwein:
Moments of the Poisson Distribution: 10738. Am. Math. Mon. 107(7): 659 (2000)
1990 – 1999
- 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
- [j35]Jonathan M. Borwein:
Mathematical publication on the Web. SIGSAM Bull. 32(1): 4-7 (1998) - [j34]Jonathan M. Borwein, David M. Bradley, David John Broadhurst, Petr Lisonek:
Combinatorial Aspects of Multiple Zeta Values. Electron. J. Comb. 5 (1998) - [j33]Jonathan M. Borwein, Alejandro Jofré:
A nonconvex separation property in Banach spaces. Math. Methods Oper. Res. 48(2): 169-179 (1998) - [j32]Jonathan M. Borwein, Warren B. Moors:
A Chain Rule for Essentially Smooth Lipschitz Functions. SIAM J. Optim. 8(2): 300-308 (1998) - [j31]Jonathan M. Borwein, Warren B. Moors:
Null Sets and Essentially Smooth Lipschitz Functions. SIAM J. Optim. 8(2): 309-323 (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
- [j22]Jonathan M. Borwein, W. Z. Huang:
A Fast Heuristic Method for Polynomial Moment Problems with Boltzmann-Shannon Entropy. SIAM J. Optim. 5(1): 68-99 (1995) - [c1]David H. Bailey, Jonathan M. Borwein, Roland Girgensohn:
Finding New Mathematical Identities with Supercomputers. PP 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) - [j20]Jonathan M. Borwein, W. Huang:
Uniform convergence for moment problems with Fermi-Dirac type entropies. Math. Methods Oper. Res. 40(3): 239-252 (1994) - [j19]Jonathan M. Borwein, Adrian S. Lewis:
Strong Rotundity and Optimization. SIAM J. Optim. 4(1): 146-158 (1994) - 1993
- [j18]Jonathan M. Borwein:
On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems. Math. Program. 61: 251-261 (1993) - [j17]