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Refereed journal publications (& papers in press)

  1. J.M. Borwein, ``Generalisations, Examples and Counter-examples in Analysis and Optimisation." Special issue for Michel Théra at 70, Set-valued and Variational Analysis. Galleys, August 2016. http://dx.doi.org/10.1007/s11228-016-0379-2.

  2. J.M Borwein , ``Adventures with the OEIS." Special issue in honour of Krishna Alladi at 60, Ramanujan Journal. Accepted June 2016.

  3. D. Bailey, J. Borwein, and M. Lopez de Prado, ``Stock portfolio design and backtest overfitting." Journal Of Investment Management. Accepted July 2016.

  4. J.M. Borwein and Scott Lindstrom, ``The Lambert W Function and other Special Functions in Analysis and Optimization." Pure and Applied Functional Analysis. 1(3), Galleys, June 2016.

  5. J.M Borwein, N. Calkin, S. Lindstrom, and A. Mattingly, ``Continued logarithms and their associated continued fractions." Experimental Mathematics. Accepted May 2016.

  6. David H. Bailey, Jonathan M. Borwein, and Jason Kimberley, ``Discovery and analysis of large Poisson polynomials using the MPFUN-MPFR arbitrary precision software." Experimental Mathematics. Accepted April 2016.

  7. D. Bailey, J. Borwein, R. Brent and M. Reisi, ``Reproducibility in computational science a case study: randomness of the digits of Pi." Experimental Mathematics. Galleys, July 2016.

  8. J.M. Borwein and O. Giladi, ``Convex Analysis in Groups and Semigroups: a Sampler." Mathematical Programming Series B. Online May 2016.

  9. D.H. Bailey and J.M. Borwein, ``A computational mathematics view of space, time and complexity." Prepared for Space, Time, and Frontiers of Human Understanding, January 2016.


  10. J.M. Borwein and O. Giladi, ``Some Remarks on Locally Convex Groups." J. Convex Analysis. Accepted December 2015.

  11. D.H. Bailey, J.M. Borwein, M. Lopez de Prado, and Qiji Zhu, ``The probability of back-test over-fitting." Available at http://ssrn.com/abstract=2326253. Financial Mathematics. Accepted March 2015.


  12. D. Bailey, J. Borwein, M. Lopez de Prado, A. Salehipour, and Qiji Zhu, ``Backtest overfitting in financial markets." Featured Article The Automated Trader 39, Q1 (2016), 52-57.

  13. J.M. Borwein, A. Straub and C. Vignat, ``Densities of short uniform random walks in higher dimensions." Journal of Mathematical Analysis and Applications, 437 (1) (2016), 668-707. Available at http://arxiv.org/abs/1508.04729.

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

  15. J.M. Borwein, ``A very complicated proof of the minimax theorem." Minimax Theory and its Applications. 1 (1) (2016), 21-27.

  16. D.H. Bailey and J.M. Borwein, ``Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums." Mathematics of Computation 85 (297), (2016,) 295-324 http://dx.doi.org/10.1090/mcom/2974. Article electronically published on June 3, 2015. Available at http://www.carma.newcastle.edu.au/jon/MTWIII.pdf.


  17. F. Aragon Artacho, J.M. Borwein and M. Tam, ``Global Behavior of the Douglas-Rachford Method for a Nonconvex Feasibility Problem." J. Global Optimization. 60 (2016), 303-327. DOI 10.1007/s10898-015-0380-6.

  18. J.M. Borwein and Joydeep Dutta, ``Maximal monotone inclusions and Fitzpatrick functions." Special issue of JOTA on Nondifferentiable Optimization and Nonsmooth Analysis, dedicated to Vladimir Demyanov. Online October 2015 at http://link.springer.com/article/10.1007/s10957-015-0813-x .

  19. J.M. Borwein and C. Sinnamon, ``A closed form for the density functions of random walks in odd dimensions." Bull. Australian Math. Soc. Online October 5, 2015. Ten pages doi:10.1017/S0004972715001112.

  20. J.M. Borwein and O. Giladi, ``Nearest points and delta convex functions." Bull. Australian Math. Soc.. Online September 4, 2015. Twelve pages doi:10.1017/S000497271500101X.

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

  22. David H. Bailey and Jonathan M. Borwein, ``High-Precision Arithmetic in Mathematical Physics." Mathematics, 3 (2015), 337-367. Available at http://www.mdpi.com/2227-7390/3/2/337.

  23. J.M. Borwein and Qiji (JIM) Zhu, ``A variational approach to Lagrange multipliers." Special issue of JOTA on Nondifferentiable Optimization and Nonsmooth Analysis, dedicated to Vladimir Demyanov. Online May 2015 ttp://link.springer.com/article/10.1007/s10957-015-0756-2 . Available at http://ssrn.com/abstract=2520482.

  24. J.M. Borwein and Scott T. Chapman, ``I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly." MAA Monthly, 122, March 2015, 195-216. Addenda 122 October 2015, 800-800.

  25. Fran Aragon, Jonathan M. Borwein, and Matthew Tam, ``Douglas-Rachford feasibility methods for matrix completion problems." The ANZIAM Journal 55 (4) (2014), 299-326. Available at http://arxiv.org/abs/1308.4243.

  26. Jonathan M. Borwein and Matthew Tam, ``The cyclic Douglas-Rachford feasibility method: behaviour on infeasible problems." J. Nonlinear and Convex Analysis. 16(4) (2015), 537-584. Available at http://arxiv.org/abs/1310.2195.

  27. D.H. Bailey and J.M. Borwein, ``Computation and theory of extended Mordell-Tornheim-Witten sums. Part II," Journal of Approximation Theory (Special issue in honour of Dick Askey turning 80). Volume 189 (2015), 115-140. On line May 31, 2015. DOI information: 10.1016/j.jat.2014.10.004. Available at http://www.carma.newcastle.edu.au/jon/MTW2.pdf.

  28. Jonathan Borwein and Armin Straub, ``Relations for Nielsen polylogarithms." Journal of Approximation Theory (Special issue in honour of Dick Askey turning 80). 193 May (2015), 74-88. Online at http://www.sciencedirect.com/science/article/pii/S0021904513001202.

  29. Jonathan M. Borwein, Brailey Sims and Matthew K. Tam, ``Norm Convergence of Realistic Reflection and Projection Methods." Optimization. 64, Issue 1, 2 Jan (2015), 161-178. DOI: http://dx.doi.org/10.1080/02331934.2014.947499. Available at http://arxiv.org/abs/1312.7323.

  30. D.H. Bailey, D. Borwein and J.M. Borwein, ``Eulerian Log-Gamma Integrals and Tornheim-Witten zeta functions." Ramanujan J. 36 :1 (2015), 43-68: 10.1007/s11139-012-9427-1.


  31. D.H. Bailey and J.M. Borwein, ``The recent trademarking of Pi: a troubling precedent." Notices of the AMS, 61 (10), November (2014), 121-124. http://www.ams.org/notices/201410/rnoti-p1224.pdf.

  32. D. Borwein and J.M. Borwein, ``Deriving new sinc results from old." Amer. Math, Monthly. 121: October (2014), 700-705.

  33. Jonathan M. Borwein and Liangjin Yao, ``Sum theorems for maximally monotone operators of type (FPV)." J. Aust. Math. Soc., 97 (1) (201), 1-26. DOI: 10.1017/S1446788714000056. Available at http://arxiv.org/abs/1305.6691.

  34. D.H. Bailey, J.M. Borwein and R.E. Crandall, ``Computation and theory of extended Mordell-Tornheim-Witten sums." Mathematics of Computation. 83, (2014), 1795-1821.

  35. D. Borwein, J.M. Borwein and B. Sims, ``On the Solution of Linear Mean Recurrences." MAA Monthly. 121 June-July (2014), 486-398.

  36. D.H. Bailey, J.M. Borwein, M. Lopez de Prado, and Qiji Zhu, ``Pseudo mathematics and financial charlatanism: Backtest overfitting and out-of-sample over performance." Notices of the AMS. 61 May (2014), 458-471. Online at http://www.ams.org/notices/201405/rnoti-p458.pdf.

  37. Jonathan Borwein, Yann Bugeault, and Michael Coons, ``The Legacy of Mahler." Newsletter of the European Mathematical Society (http://www.ems-ph.org/journals/journal.php?jrn=news). Issue 91, March (2014), 12-16. Version in Gazette AustMS, March (2014), 11-21. Reprinted Notices AMS, 62 May (2015), 526-531.

  38. D.H. Bailey and J.M. Borwein, ``On Pi Day 2014, Pi's normality is still in question." American Mathematical Monthly, 121 March (2014), 191-204. Published in translation in Mathematical Advances in Translation (Chinese Academy of Science).

  39. Jonathan M. Borwein and Liangjin Yao, ``Legendre-type integrands and convex integral functions." J. Convex Analysis. 21 (1) (2014), 264-288. Available at http://arxiv.org/abs/1208.5217.

  40. Julia Piantadosi, Phil Howlett and Jonathan Borwein, ``Modelling and simulation of seasonal rainfall using the principle of maximum entropy." Entropy. 16 (2014), 747-769. Available at http://www.mdpi.com/1099-4300/16/2/747/.

  41. Jonathan M. Borwein, Regina Burachik and Liangjin Yao, ``Conditions for Zero Duality Gap in Convex Programming." J. Convex and Nonlinear Analysis 15 (2014), xxx-xxx. Proofs November 2013. Available at http://arxiv.org/abs/1211.49533.

  42. Jonathan M. Borwein, Guoyin Li, and Liangjin Yao, ``Analysis of the convergence rate for the cyclic projection algorithm on semi-algebraic convex sets." SIAM Optim. 24 (2014), 498-527. Online March 2014. Available at http://arxiv.org/abs/1304.7965

  43. David Borwein, Jonathan M. Borwein, and Armin Straub, ``On lattice sums and Wigner limits." JMAA. 414, (2014), 489-513. Available at http://arxiv.org/abs/1310.1423.

  44. David H. Bailey, Jonathan M. Borwein and Alex D. Kaiser, ``Automated Simplification of Large Symbolic Expressions." J. Symbolic Analysis, 60 (2014), 120-136. DOI http://dx.doi.org/10.1016/j.jsc.2013.09.001.

  45. Fran Aragon, Jonathan M. Borwein, and Matthew Tam, ``Recent Results on Douglas-Rachford Methods for Combinatorial Optimization Problems." JOTA, 163:1 (2014), 1-30 . Available at http://arxiv.org/abs/1305.2657.


  46. Jonathan M. Borwein, Matthew Skerritt and Christopher Maitland, ``Computation of a lower bound to Giuga's primality conjecture." Integers 13 (2013). Published online September 2013 at #A67 http://www.westga.edu/~integers/cgi-bin/get.cgi.

  47. Jonathan M. Borwein and Liangjin Yao, ``Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator." Special volume of Set-Valued and Variational Analysis entitled Topological Methods in Variational Analysis and Optimization in honour of Petar Kenderov. Volume 21L4(2013), 603-616. DOI http://link.springer.com/article/10.1007/s11228-013-0259-y. Available at http://arxiv.org/abs/1212.4266.

  48. Fran Aragon, Jonathan M. Borwein, Victoria Martin-Marquez and Liangjin Yao ``Applications of Convex Analysis within Mathematics." Special volume in honour of J-J. Moreau. ``"Modern Convex Analysis" Mathematical Programming B 148 158 Numbers 1?2 December (2014), 49-88. DOI http://link.springer.com/article/10.1007%2Fs10107-013-0707-3. Available at http://arxiv.org/abs/1302.1978.

  49. Fran Aragon, Jonathan M. Borwein, and Matthew Tam, ``Recent Results on Douglas-Rachford Methods." Special volume of Serdica Mathematical Journal in honour of Asen Dontchev, 39 (2013), 313-330.

  50. D. Bailey, J. Borwein, R. Crandall and M. Rose, ``Expectations on Fractal Sets." Applied Mathematics and Computation. Volume 220, 1 September (2013), 695-–721. DOI: http://dx.doi.org/10.1016/j.amc.2013.06.078.

  51. Jonathan M. Borwein and Matthew Tam, ``A Cyclic Douglas-Rachford Iteration Scheme." J. Optimization Theory and Applications. Published online August 17, 2013. DOI http://link.springer.com/article/10.1007/s10957-013-0381-x. Available at http://arxiv.org/abs/1303.1859.

  52. Jonathan M. Borwein and Qiji (Jim) Zhu, ``Variational methods in the presence of symmetry." Advances in Nonlinear Analysis, 2(3) (2013), 271–-307. DOI: http://dx.doi.org/10.1515/anona-2013-1001.

  53. Jonathan M. Borwein and Liangjin Yao, ``Structure theory for maximally monotone operators with points of continuity." JOTA invited paper. 157 (2013), 1-24. DOI: http://link.springer.com/article/10.1007/s10957-012-0162-y. Available at http://arxiv.org/abs/1203.1101.

  54. D.H. Bailey, J.M. Borwein, R.E. Crandall and I.J. Zucker, ``Lattice sums arising from the Poisson equation." Journal of Physics A: Mathematical and Theoretical. 46 (2013) #115201 (31pp). DOI: http://dx.doi.org/10.1088/1751-8113/46/11/115201.

  55. D.H. Bailey, J.M. Borwein, A. Mattingly, and G. Wightwick, ``The Computation of Previously Inaccessible Digits of $ \pi^2$ and Catalan's Constant." Notices of the AMS. 60(7) (2013), 844-854.

  56. J.M. Borwein and A. Straub, ``Mahler measures, short walks and logsine integrals." Theoretical Computer Science. Special issue on Symbolic and Numeric Computation. 479(1) (2013), 4-21. DOI: http://link.springer.com/article/10.1016/j.tcs.2012.10.025.

  57. Jonathan M. Borwein, Armin Straub and James Wan, ``Three-step and four-step random walks." Experimental Mathematics. 22 (1) (2013), 1-14.

  58. F. Aragon, D. H. Bailey, J.M. Borwein and P.B. Borwein, ``Walking on real numbers." Mathematical Intelligencer. 35 (1) (2013), 42-60. DOI: http://link.springer.com/article/10.1007%2Fs00283-012-9340-x.

  59. F. Aragon and J.M. Borwein, ``Global convergence of a non-convex Douglas-Rachford iteration." J. Global Optimization. 57, Issue 3 (2013), 753-769. DOI 10.1007/s10898-012-9958-4. Available at http://arxiv.org/abs/1203.2392.

  60. David H. Bailey and Jonathan M. Borwein, ``Compressed lattice sums arising from the Poisson equation." In a special volume of Boundary Value Problems in honour of Hari Srivastava. 75(1) (2013), (18.pp). DOI: 10.1186/1687-2770-2013-75 http://www.boundaryvalueproblems.com/content/2013/1/75. Online May 13, 2013.

  61. J.M. Borwein and R.E. Crandall, ``Closed forms: what they are and why we care." Notices Amer. Math. Soc. 60:1 (2013), 50-65. Reprinted in Book # [*].

  62. Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang and Liangjin Yao, ``Monotone operators and "bigger conjugate" functions, Journal of Convex Analysis 20 (2013), 143-155.


  63. D. H. Bailey, J.M. Borwein, C. S. Calude, M. J. Dinneen, M. Dumitrescu, and A. Yee, ``An empirical approach to the normality of pi." Experimental Mathematics. 21(4) (2012), 375-384. DOI: http://link.springer.com/article/10.1080/10586458.2012.665333.

  64. T. Amdeberhan, D. Borwein, J.M. Borwein and A. Straub, ``On formulas for $ \pi$ experimentally conjectured by Jauregui-Tsallis." J. Math. Physics 53 (2012), 073708 (15pp.), E-published September 2012.

  65. D. Borwein, J.M. Borwein, A. Straub and J. Wan, ``Log-sine evaluations of Mahler measures, Part II." INTEGERS, 12A (Selfridge memorial volume), 12 (6) (2012), 1179–-1212. DOI 10.1515/integers-2012-0035. Available at http://arxiv.org/abs/1103.3035.

  66. Jonathan M. Borwein, ``Ramanujan and Pi." Notices of the AMS in ``Srinivasa Ramanujan: Going strong at 125." 59 (11) (2012), 534-537.

  67. Jonathan M. Borwein and Liangjin Yao, ``Some results on the convexity of the closure of the domain of a maximally monotone operator." Optimization Letters, 8 (1) (2014), 237-246. DOI: 10.1007/s11590-012-0564-7. Available at http://arxiv.org/abs/1205.4482.

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

  69. J.M. Borwein and Jon Vanderwerff, ``Constructions of Uniformly Convex Functions." Canadian Math. Bull. 55 (2012), no. 4, 697-707. http://dx.doi.org:10.4153/CMB-2011-049-2

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

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

  72. D.H. Bailey and J.M. Borwein, ``Nonnormality of Stoneham constants." Ramanujan J. 29 (2012), 409-422. DOI http://link.springer.com/article/10.1007/s11139-012-9417-3. And K. Alladi, G.E. Andrews, and J.M. Borwein, ``Preface" to 125 birthday volume, Ramanujan J., 1-2.

  73. Jonathan Borwein, Peter Borwein and Veselin Jungic, ``Remote Collaboration: Six Years of the Coast-To-Coast Seminar Series." Science Communication, 34 (3) (2012), 419-428. E-published at http://scx.sagepub.com/content/early/2012/03/26/1075547012443020

  74. Jonathan M. Borwein, Armin Straub, James Wan and Wadim Zudilin, with an Appendix by Don Zagier, ``Densities of short uniform random walks." Canadian. J. Math. 64 (5), (2012), 961-990. http://dx.doi.org/10.4153/CJM-2011-079-2. Available at http://arxiv.org/abs/1103.2995.

  75. David Bailey, Roberto Barrio and Jonathan Borwein, ``High-Precision Computation: Mathematical Physics and Dynamics." Applied Mathematics and Computation, 218 (2012), 10106-0121. http://dx.doi.org/10.1016/j.amc.2012.03.087

  76. Heinz H. Bauschke, Jonathan M. Borwein, Sean Wang and Liangjin Yao, ``The Brézis-Browder theorem in an arbitrary Banach space." J. Functional Analysis, 262 (2012), 4948-4971. DOI http://dx.doi.org/10.1016/j.jfa.2012.03.023.

  77. David Borwein, Jonathan Borwein and Armin Straub, ``A sinc that sank." Amer. Mathematical Monthly, 119 August/September (2012), 535-549.

  78. Heinz H. Bauschke, Jonathan M. Borwein, Sean Wang and Liangjin Yao, ``Construction of pathological maximally monotone operators on non-reflexive Banach spaces." Set Valued and Variational Analysis, 20 (3), (2012), 387-415. DOI: 10.1007/s11228-012-0209-0. Available at http://arxiv.org/abs/1108.1463.

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

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

  81. J.M. Borwein, ``Maximum entropy and feasibility methods for convex and non-convex inverse problems." Invited. Optimization, 61 (2012), 1-33. DOI: http://link.springer.com/article/10.1080/02331934.2011.632502.


  82. J. Borwein, D. Nuyens, A. Straub, and James Wan, ``Some Arithmetic Properties of Short Random Walk Integrals." Ramanujan Journal. 26 (2011), 109-132.

  83. D.H. Bailey and J. M. Borwein, ``Exploratory Experimentation and Computation." Notices of the AMS. 58 (10) (2011), 1410-1419. Reprinted in Book # [*]. E-published October 13, 2011 at http://www.ams.org/notices/201110/rtx111001410p.pdf. Published in translation in Mathematical Advances in Translation (Chinese Academy of Science), June 2012.

  84. Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang and Liangjin Yao, ``Fitzpatrick-Phelps type coincides with dense type and negative-infimum type," Optimization Letters. E-published, August 2011. DOI 10.1007/s11590-011-0383-2. Available at http://arxiv.org/abs/1104.0750.

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

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

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

  88. M. Bacák and J.M. Borwein, ``On Difference Convexity of Locally Lipschitz Functions." Optimization, 60 (2011), 961-978.


  89. J.M. Borwein and W. B. Moors, ``Stability of closedness of cones under linear mappings, II." Journal of Nonlinear Analysis and Optimization: Theory & Applications, 1(1), (2010), 1-7.

  90. Miroslav Bacák, Jonathan M. Borwein, Andrew Eberhard, and Boris Mordukhovich, ``Infimal convolutions and Lipschitzian properties of subdifferentials for prox-regular functions in Hilbert spaces." J. Convex Analysis, special volume in honour of Hedi Attouch, 17 3/4, (2010), 737-763.

  91. J.M. Borwein and J. Vanderwerff, ``Fréchet-Legendre functions and reflexive Banach spaces." J. Convex Analysis, special volume in honour of Hedi Attouch. 17 3/4, (2010), 915-924.

  92. Jonathan M. Borwein, O-Yeat Chan and Richard Crandall, ``Higher-dimensional box integrals," Experimental Mathematics. 19(4) (2010), 431-446.

  93. J.M. Borwein and O-Yeat Chan, ``Duality in tails of multiple zeta values," Int. J. Number Theory, 3(6) (2010), 501-514.

  94. D. Borwein, J.M. Borwein and I.E. Leonard, ``$ L_p$ Norms and the Sinc Function," Amer. Math. Monthly, 117 June-July (2010), 528-539.

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

  96. D.H. Bailey, J.M. Borwein and R.E. Crandall, ``Advances in the theory of box integrals," Mathematics of Computation, 79 (2010), 1839-1866.


  97. David Bailey and Jonathan Borwein, ``Highly parallel, high precision integration," International Journal of Computational Science and Engineering, 4 2009, xx-xx. [D-drive Preprint 294].

  98. J.M. Borwein and W. B. Moors, ``Stability of closedness of cones under linear mappings," J. Convex Analysis, 16:3+4 (2009), 707-713. [D-drive Preprint 384]

  99. J.M. Borwein and J. Vanderwerff, ``Differentiability of conjugate mappings," J. Convex Analysis, 16:3+4 (2009), 699-706. [D-drive Preprint 383]

  100. D.H. Bailey and J.M. Borwein, ``Experimental Mathematics and Computational Statistics." Invited overview in Online Encyclopedia of Computational Statistics. A Wiley Interdisciplinary Review, July 2009.
    http://ca.wiley.com/WileyCDA/Section/id-390445.html

  101. J. M. Borwein, ``Exploratory Experimentation," column in ``Maths Matters," Australian Mathematical Society Gazette, 36:3 (2009), 166-175.

  102. D.H. Bailey, J.M, Borwein and R.E. Crandall, ``Resolution of the Quinn-Rand-Strogatz constant of nonlinear physics," Experimental Mathematics, 18 (2009), 107-116. [D-drive Preprint 345].

  103. Jonathan Borwein, Neil Calkin and Dante Manna, ``Euler and Boole summation revisited," Amer. Math Monthly, 116:5 (2009), 387-412. [D-drive Preprint 372].

  104. J.M. Borwein and C. Hamilton, ``Symbolic Convex Analysis: Algorithms and Examples," Mathematical Programming, 116 (2009), 17-35. [D-drive Preprint 306].

  105. J. Borwein, A. Guirao, P. Hajek and J. Vanderwerff, ``Uniformly Convex Functions on Banach Spaces," Proc AMS., 137 (2009), 1081-1091. [D-drive Preprint 340].

  106. J.M. Borwein and O-Yeat Chan, ``Uniform Inequalities for the incomplete complementary Gamma-function," Mathematical Inequalities and Applications, 12 (2009), 115-121. [D-drive Preprint 335].


  107. D. Borwein, J.M. Borwein and R.E. Crandall, ``Effective Laguerre Asymptotics," SIAM J. Numerical Anal., 6 (2008), 3285-3312. [D-drive Preprint 334].

  108. Robert Baillie, David Borwein and Jonathan Borwein, ``Some sinc sums and integrals," American Math. Monthly, 115 (10) (2008), 888-901. [D-drive Preprint 332].

  109. J.M. Borwein and D.R. Luke, ``Dynamics of a Ramanujan-type Continued Fraction with Cyclic Coefficients," Ramanujan Journal, 16 (2008), 285-304. CoLab Preprint 261].

  110. J.M. Borwein and Bruno Salvy, ``A proof of a recursion for Bessel moments," Experimental Mathematics, 17 (2008), 223-230. [D-drive Preprint 346].

  111. D.H. Bailey, J.M. Borwein, D.M. Broadhurst and L. Glasser, ``Elliptic integral representation of Bessel moments," J. Phys. A: Math. Theory, 41 (2008), 5203-5231. DOI 205203 (IoP Select). [D-drive Preprint 380]. (http://arxiv.org/abs/0801.0891)

  112. A. C. Eberhard and J. M. Borwein, ``Second Order Cones for Maximal Monotone Operators via Representative Functions," Setvalued Analysis (special issue for Boris Mordukhovich, 16 (2008), 157-184. [D-drive Preprint 348].

  113. D. Borwein, J.M. Borwein and O-Yeat Chan, ``The Evaluation of Bessel Functions via Exp-Arc Integrals," J. Math. Anal. Appl., 341 (2008), 478-500. [D-drive Preprint 371].

  114. J.M. Borwein, I. J. Zucker and J. Boersma, ``The evaluation of character Euler double sums," Ramanujan Journal, 15 (2008), 377-405. [CoLab Preprint 260].

  115. J.M. Borwein, ``Hilbert Inequalities and Witten Zeta-functions," American Math Monthly, 115 (2) (2008), 125-137. [D-drive Preprint 309].


  116. Jonathan Borwein and Marc Chamberland, ``Integer powers of Arcsin," IJMMS, 10 pages, Art. ID 19381, June 2007. [D-drive Preprint 287].

  117. D. H. Bailey, D. Borwein, J.M. Borwein and R.E. Crandall, ``Hypergeometric forms for Ising-class integrals, Experimental Mathematics, 16 (2007) 257-276. [D-drive Preprint 326].

  118. H.H. Bauschke, J.M. Borwein and Sean Wang, ``Fiitzatrick functions and continuous linear monotone operators," SIAM J. Opt., 18 (2007), 789-809. [D-drive Preprint 319].

  119. J.M. Borwein and H. Wiersma, ``Decompositions of Monotone Operators," SIAM J. Opt., 18 (2007), 946-960. [D-drive Preprint 321].

  120. J.M. Borwein, ``Maximality of Sums of Two Maximal Monotone Operators in General Banach Space," Proc. AMS, 135 (2007), 3917-3924. [D-drive Preprint 322].

  121. D.H. Bailey, J.M. Borwein and R.E. Crandall, ``Box Integrals," Journal of Computational and Applied Mathematics, 206 (2007), 196-208. [D-drive Preprint 320].

  122. S. Bartz, H.H. Bauschke, J.M. Borwein, S. Reich and Wang Xianfu, ``Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative," Nonlinear Analysis: Theory Methods and Applications, 66 (2007), 1198-1223. [D-drive Preprint 308].

  123. D. Borwein, J. Borwein, R. Crandall and R. Mayer, ``On the dynamics of certain recurrence relations," Ramanujan Journal (Special issue for Richard Askey's 70th birthday), 13, No. 1-3 (2007), 63-101. [CoLab Preprint 253]

  124. D. Borwein and J.M. Borwein, ``Van der Pol expansions of $ L$ -series," Canad. Math, Bull. 50 (2007), 11-23. [D-drive Preprint 283].

  125. J.M. Borwein, ``A class of Dirichlet series integrals," Amer. Math Monthly, 114 (2007), 70-76. [CoLab Preprint 262].

  126. J.M. Borwein, ``Proximality and Chebyshev sets," Optimization Letters, 1 (2007), no. 1, 21-32. D-drive Preprint 323].


  127. David Bailey, Jonathan Borwein and David Bradley, ``Experimental Determination of Apéry-type Formulae for $ \zeta(2n+2)$ ," Experimental Mathematics, 15 (2006), 281-289. [D-drive Preprint 295].

  128. J.M. Borwein and M. Macklem, ``The (digital) life of Pi," Mathematical Gazette, 33 (2006), 243-248. [CoLab Preprint 263].

  129. D.H. Bailey, J.M. Borwein and R.E. Crandall, ``Integrals of the Ising Class," J. Phys. A., 39 (2006) 12271-12302. [D-drive Preprint 324].

  130. Jonathan M. Borwein, ``Maximality of the Sum of Two Monotone Operators," Proc. Amer. Math. Soc., 134 (2006), 2951-2956. [D-drive Preprint 282].

  131. J.M. Borwein, ``The Life of Simon Fitzpatrick, 1953-2004," Introduction to Fitzpatrick memorial volume, J. Convex Analysis, 13, 3/4 (2006), 463-476.

  132. Jonathan M. Borwein, ``Maximal Monotonicity via Convex Analysis," (Special issue in memory of Simon Fitzpatrick), J. Convex Analysis, 13, 3/4 (2006), 561-586. [D-drive preprint 281].

  133. Jon Borwein, Vincente Montesinos and Jon Vanderwerff, ``Boundedness, Differentiability and Extensions of Convex Functions," J. Convex Analysis, 13, 3-4 (2006), 587-602. [D-drive preprint 288].

  134. J.M. Borwein and Qiji Zhu, ``Variational methods in convex analysis," Journal of Global Optimization, special issue in honour of Alex Rubinov's 65th birthday, 35 (2006), 197-213. [CoLab Preprint 259]

  135. D. Bailey, J. Borwein, V. Kapoor and E. Weisstein, ``Ten Problems in Experimental Mathematics," Amer. Math Monthly, 113, June-July 2006, 481-509. [CoLab Preprint 270].

  136. J.M. Borwein and D.M. Bradley, ``Thirty Two Goldbach Variations," Int. J. Number Theory, 2 1 (2006), 65-103. [D-drive Preprint 301].

  137. D. Borwein, J. M. Borwein and D. Bradley, ``Some Parametric Euler Sums," J. Math. Anal. Appl., 316 (2006), 328-338. [Ddrive Preprint 268].


  138. Jonathan Borwein and Russell Luke, ``Dynamics of Some Random Continued Fractions," Abstract and Applied Analysis, 5 (2005), 449-468. [CoLab Preprint 275]

  139. Kellar, M., MacKay, B., Zhang, R., Watters, C., Kaufman, D., & Borwein, J. ``Dynamic Composition of Math Lessons." Educational Technology & Society, 6 (4) (2005), 100-111. Available at http://ifets.ieee.org/periodical/6_4/10.pdf

  140. Jonathan M. Borwein and Xianfu Wang, `Lipschitz functions with maximal Clarke subdifferentials are staunch," Bull. Aust. Math. Soc., 72 (2005), 491-496. [D-drive Preprint 302].

  141. J. M. Borwein and Xianfu Wang, ``Cone monotone functions: differentiability and continuity," Canadian J. Math, 57 (2005), 961-982. [CECM Preprint 2003:209]

  142. J.M. Borwein, ``The SIAM 100 Digits Challenge," Extended review for the Mathematical Intelligencer, 27 (4) (2005), 40-48. [D-drive preprint 285].

  143. J.M. Borwein, ``The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof,'' International Journal of Computers for Mathematical Learning, 10 (2005), 75-108. [CECM Preprint 02:178; 264]. Counterpart presentation
    (www.cecm.sfu.ca/personal/jborwein/proof.pdfs) published in CMESG25 Proceedings, 2002.

  144. J. M. Borwein, and R. Girgensohn, ``Evaluations of Binomial Series,'' Aequationes Math., 70 (2005), 25-36. [CECM Preprint 02:188]

  145. Jonathan Borwein and Terry Stanway, ``Knowledge and Community in Mathematics``, Mathematical Intelligencer, 27 (2005), 7-16. [CoLab Preprint 274]

  146. J.M. Borwein, Stephen Choi, and W. Pigulla, ``Continued fractions of tails of series," American Mathematical Monthly, 112 (2005), 493-501. [CECM Preprint 2003:201]

  147. D.H. Bailey and J.M Borwein, ``Experimental Mathematics: Examples, Methods and Implications," Notices Amer. Math. Soc., 52 No. 5 (2005), 502-514. [CoLab Preprint 269].


  148. David Bailey, Jonathan Borwein, Richard Crandall and Carl Pomerance, ``On the binary expansions of algebraic numbers," J. Number Theory Bordeaux, 16 (2004), 487-518. [CECM Preprint 2003:204]

  149. Jonathan Borwein and Richard Crandall, ``On the Ramanujan AGM fraction. Part II: the Complex-parameter Case," Experimental Mathematics, 13 (2004), 287-296. [CECM Preprint 2003:214]

  150. Jonathan Borwein, Richard Crandall and Greg Fee, ``On the Ramanujan AGM fraction. Part I: the Real-parameter Case," Experimental Mathematics, 13 (2004), 275-286. [CECM Preprint 2003:208/213]

  151. J.M. Borwein and I. Kortezov, ``Constructive Minimal Cuscos," C.R. Bulg. Acad. Sci., 57, 12 (2004), 9-12. [CoLab Preprint 273].

  152. D. Borwein, J. M. Borwein, and W. F. Galway, ``Finding and Excluding $ b$ -ary Machin-Type BBP Formulae,'' Canadian J. Math, 56 (2004), 897-925. [CECM Preprint 2003:195]

  153. Jonathan Borwein, Lixin Cheng, Marián Fabian, and Julian P. Revalski, ``A one perturbation variational principle with applications," Set-valued Analysis. 12 (1-2), 49-60. [CECM Preprint 2003:205]

  154. Jonathan M. Borwein and Jon D. Vanderwerff, ``Constructible convex sets," Set Valued Analysis, 12 (1-2), 61-77, March, 2004 - June, 2004. [CECM Preprint 2003:202]


  155. J.M. Borwein, R. Choksi and P. Maréchal, ``Probability distributions of assets inferred from option prices via the Principle of Maximum Entropy," SIAM J. Optimization, 4 (2003), 464-478. [CECM Preprint 02:176].

  156. J.M. Borwein, J.V. Burke and A.S. Lewis, ``Differentiability properties of cone monotone functions on separable Banach space," Proc Amer. Math. Soc., 132 (2003), 1067-1076. [CECM Preprint 02:183].

  157. J.M. Borwein and R. Girgensohn, ``A class of exponential inequalities," Mathematical Inequalities and Applications, 6 (2003), 397-411. [CECM Preprint 01:174].

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

  159. Jonathan Borwein and Kwok-Kwong Stephen Choi, ``On Dirichlet series for sums of squares,'' Ramanujan Journal, special issue for Robert Rankin, 7, (2003), 95-128. [CECM Preprint 01:167].

  160. J.M. Borwein, S.P. Fitzpatrick and R. Girgensohn, ``Subdifferentials whose graphs are not bounded$ \times$ weak-star closed," Canadian Math. Bulletin, 46 (2003), 538-545. [CECM Preprint 01:175].

  161. Heinz H. Bauschke, Jonathan M. Borwein and Patrick L. Combettes, ``Bregman monotone optimization algorithms," SIAM J. Control and Optimization, 42 (2003), 596-636. [CECM Preprint 02:184].

  162. J.M. Borwein and A.L. Donchev, ``On the Bartle-Graves Theorem," Proc Amer. Math. Soc., 131 (2003), 2553-2560. [CECM Preprint 02:185].

  163. J.M. Borwein, J. Vanderwerff and Xianfu Wang, ``Local Lipschitz constants and maximal subdifferentials," Set-valued Analysis, 11 (2003), 37-67. [CECM Preprint 01:158].

  164. J.M. Borwein and R. Goebel, ``Notions of Relative Interior in Banach spaces," special issue on Optimization, Journal of Mathematical Sciences (Plenum, Moscow). 115 (2003), 2542-2553. [CECM Preprint: 01:162].


  165. Joël Benoist, Jonathan Borwein and Nicolae Popovic, ``A Characterization of Quasiconvex Vector-Valued Functions," Proc Amer. Math. Soc., 131 (2002), 1109-1113. [CECM Preprint 01:170].

  166. J.M. Borwein, M. Fabian and P.D. Loewen, ``The shape of the range of the gradient of a $ C^1$ smooth bump in infinite dimensions," Israel J. Math, 132 (2002), 239-251. [CECM Preprint 01:169].

  167. David Borwein, Jonathan Borwein and Bernard Mares, ``Multi-variable sinc integrals and volumes of polyhedra," The Ramanujan Journal, 6 (2002), 189-208. [CECM Preprint: 01:159].

  168. J.M. Borwein, I. Kortezov and H. Wiersma, ``A $ C^1$ function even on the sphere with no critical point in the ball," International J. Nonlinear and Convex Analysis, 3 (2002), 1-16. [CECM Preprint: 01:164].

  169. J.M. Borwein and J. Vanderwerff, ``On the continuity of biconjugate convex functions,'' Proc. Amer. Math. Soc., 30 (2002), 1797-1803. [CECM Preprint 00:154].

  170. J. M. Borwein, M. Jiménez Sevilla and J. P. Moreno, ``Antiproximinal norms in Banach spaces,'' J. Approx. Theory. 114 (2002), 57-69. [CECM Preprint 00:157].

  171. J. M. Borwein, John Giles and J. Vanderwerff, ``Rotund norms, Clarke subdifferentials and extensions of Lipschitz functions,'' Nonlinear Analysis: Th. Meth., Appl.. 48 (2002), 287-301. [CECM Preprint 98:126].


  172. Jon Borwein and Jon Vanderwerff, ``Convex functions of Legendre type in general Banach space,'' Journal of Convex Analysis, 8, 2001, 569-582. [CECM Preprint 00:151].

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

  174. Heinz H. Bauschke, Jonathan M. Borwein and Patrick L. Combettes, ``Essential smoothness, essential strict convexity, and convex functions of Legendre type in Banach spaces," Communications in Contemporary Mathematics, 3 (2001), 615-648. [CECM Preprint 00:156].

  175. D. Borwein, J. Borwein, G. Fee and R. Girgensohn, ``Refined convexity and special cases of the Blaschke-Santalo inequality," Mathematical Inequalities and Applications, 4 (2001), 631-638. [CECM Preprint 00:146].

  176. J. M. Borwein, W. B. Moors and Xianfu Wang, ``Generalized subdifferentials: a Baire categorical approach,'' Transactions AMS, 353 (2001), 3875-3893. [CECM Preprint 99:127].

  177. J. M. Borwein and S. P. Fitzpatrick, ``Duality inequalities and sandwiched functions,'' Nonlinear Analysis: Th. Meth., Appl., 26 (2001), 365-380. [CECM Research Report 98:111].

  178. Jonathan M. Borwein and Ivaylo Kortezov, ``Some generic results on non-attaining functionals,'' Special Issue of Set-valued Analysis on Well-posedness and Stability of Optimization Problems, 9 (2001), 35-47.

  179. David Borwein and Jonathan M. Borwein, ``Some remarkable properties of sinc and related integrals,'' The Ramanujan Journal, 5 (2001), 73-90.

  180. J.M. Borwein and P.B. Borwein, ``Challenges for Mathematical Computing," Computing in Science & Engineering, May/June 3 (2001), 48-53.

  181. J.M. Borwein, M. Fabian, I. Kortezov and P.D. Loewen, ``The range of the gradient of a continuously differentiable bump," J. Nonlinear and Convex Analysis, 2 (2001), 1-19. (Special issue for Ky Fan.)

  182. J. M. Borwein, D. M. Bradley, D. J. Broadhurst and P. Lisonek, ``Special values of multidimensional polylogarithms,'' Trans. Amer. Math. Soc., 353 (2001), 907-941.

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


  184. Heinz H. Bauschke, Jonathan M. Borwein, Paul Tseng, ``Metric regularity, strong CHIP, and CHIP are distinct properties,'' J. Convex Analysis, 7 (2000), 395-412. [CECM Preprint 98:112].

  185. Jonathan M. Borwein, Yves Lucet and Boris Mordukhovich, ``Compactly epi-Lipschitzian convex sets and functions in normed spaces,'' J. Convex Analysis, 7 (2000), 373-394. [CECM Preprint 98:117].

  186. J. M. Borwein and Xianfu Wang, ``Lipschitz functions with maximal Clarke subgradients are generic,'' Proc. Amer. Math. Soc., 128 (2000), 3221-3230. [CECM Preprint 98:113].

  187. Jonathan M. Borwein, David M. Bradley and Richard E. Crandall, ``Computational strategies for the Riemann zeta function,'' J. Computational and Applied Mathematics, special volume ``Numerical Analysis in the 20th Century. Vol. 1: Approximation Theory." 121 (2000), 247-296 [CECM Preprint 98:118].

  188. D. Borwein, J. M. Borwein and P. Maréchal, ``Surprise maximization,'' American Math. Monthly, 107 June-July 2000, 527-537. [CECM Preprint 98:116].

  189. J. M. Borwein and P. Lisonek, ``Applications of integer relation algorithms,'' Discrete Mathematics (Special issue for FPSAC 1997), 217 (2000), 65-82. [CECM Research Report 97:104]

  190. Jon Borwein, Adrian Lewis, John Read and Qiji Zhu, `` Convex spectral functions of compact operators: Part I,'' J. Nonlinear and Convex Analysis, 1 (2000), 17-36. CECM Preprint 99:130]

  191. Jonathan Borwein and Kwok-Kwong Stephen Choi, ``On the representations of $ xy+yz+zx$ ,'' Experimental Mathematics, 9 (2000), 153-158. [CECM Preprint 98:119].

  192. J. M. Borwein, P. Maréchal and D. Naugler,``A convex dual approach to the computation of NMR complex spectra,'' Mathematical Methods of Operations Research, 51 (2000), 91-102. [CECM Research Report 98:114]

  193. Jonathan M. Borwein and Warren B. Moors, ``Separable determination of integrability and minimality of the Clarke subdifferential mapping,'' Proc. Amer. Math. Soc., 128 (2000), 215-221. [CECM Research Report 97:102]


  194. Jonathan M. Borwein and Robert Corless, ``Emerging tools for experimental mathematics,'' Amer. Math Monthly, 106 (1999), 889-909. [CECM Research Report 98:110].

  195. J. M. Borwein, W. B. Moors and Xianfu Wang, ``Generalized subdifferentials: a Baire categorical approach (extended abstract),'' Mathematical Reports of the Academy of Science, 21 (1999), 132-138. [CECM Preprint 99:128]

  196. H.H. Bauschke, J.M. Borwein and Wu Li, ``On the strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and applications to convex optimization,'' Mathematical Programming, 86 (1999), 135-160. [CECM Research Report 98:107]

  197. Jonathan M. Borwein and Qiji Zhu, ``A survey of smooth subdifferential calculus with applications,'' J. Nonlinear Analysis: Th. Meth., Appl., 38 (1999), 687-773. Addendum, 49 (2002), 295-296. [CECM Research Report 98:105]

  198. P. Maréchal, D. Togane, A. Celler and J.M. Borwein, ``Assessment of the performance of reconstruction processes for computed tomography," (Nuclear Science Symposium and Medical Imaging Conference, Toronto, November 8-14, 1998) IEEE Transactions on Nuclear Science 46 (1999), pp. 1353-57.

  199. Heinz H. Bauschke, Dominikus Noll, Anna Celler and Jonathan M. Borwein, ``An EM-algorithm for dynamic SPECT,'' IEEE Transactions on Medical Imaging, 18 (1999), 252-261.

  200. H.H. Bauschke and J.M. Borwein, ``Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators,'' Pacific Journal, 189 (1999), 1-20.

  201. Jonathan M. Borwein, Warren B. Moors and Yongheng Shao, ``Subgradient representation of multifunctions,'' J. Aust. Math. Soc., series B, (volume in honour of B. Craven and B. Mond), 40 (1999), 301-313.

  202. Jonathan M. Borwein, Boris S. Mordukhovich and Yongheng Shao, ``On the equivalence of some basic principles in variational analysis,'' J. Math. Analysis and Applications, 229 (1999), 228-257.

  203. Jonathan Borwein, Jay Treiman and Qiji Zhu, ``Partially Smooth Variational Principles and Applications,'' J. Nonlinear Analysis, Theory Methods Applications, 38 (1999), 1031-1059.


  204. Jonathan M. Borwein and Qiji Zhu, ``Limiting convex examples for nonconvex subdifferential calculus,'' J. Convex Analysis, 5 (1998) 221-235.

  205. Jonathan M. Borwein, Roland Girgensohn and Xianfu Wang, ``On the construction of Hölder and proximal subderivatives,'' Canadian Bulletin of Mathematics, 41 (1998), 497-507.

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

  207. J. M. Borwein, D. M. Bradley, D. J. Broadhurst and P. Lisonek, ``Combinatorial aspects of multiple zeta values,'' Electronic Journal of Combinatorics, 5 (1998) R38, 12 pages.

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

  209. D. Borwein, J.M. Borwein and C. Pinner, ``Convergence of Madelung-like lattice sums,'' Trans. Amer. Math. Soc., 350 (1998), 3131-3167.

  210. J.M. Borwein, J.S. Treiman and Q. J. Zhu, ``Necessary conditions for optimization problems with semicontinuous and continuous data,'' Trans. Amer. Math. Soc., 350 (1998), 2409-2429.

  211. J.M. Borwein and W.B. Moors, ``A chain rule for essentially strictly differentiable functions,'' SIAM J. Optimization, 8 (1998), 300-308.

  212. J.M. Borwein and W.B. Moors, ``Null sets and essentially smooth Lipschitz functions,'' SIAM J. Optimization, 8 (1998), 309-323.

  213. J.M. Borwein, ``Brouwer-Heyting sequences converge,'' Mathematical Intelligencer, 20 (1998), 14-15.


  214. Jonathan Borwein, ``A generalization of Young's $ \ell^p$ inequality,'' Mathematical Inequalities and Applications, 1 (1997), 131-136.

  215. J.M. Borwein and D.M. Bradley, ``Empirically determined Apéry-like formulae for zeta(4n+3),'' Experimental Mathematics, 6 (1997), 181-194.

  216. J.M. Borwein and WeiWei Sun, ``Stability of dynamic SPECT models,'' Numerische. Math, 77 (1997), 283-298.

  217. J.M. Borwein, M. Fabian and J. D. Vanderwerff, ``Characterizations of Banach Spaces via Convex and other Locally Lipschitz Functions,'' Acta Vietnamica, (special edition in honour of Huang Tuy's seventieth birthday), 22 (1997), 53-69.

  218. J.M. Borwein and W.B. Moors, ``Essentially smooth Lipschitz functions,'' Journal of Functional Analysis, 149 (1997), 305-351.

  219. H.H. Bauschke and J.M. Borwein, ``Legendre functions and the method of random Bregman projections," Journal of Convex Analysis, 4 (1997), 27-67.

  220. J.M. Borwein, W.B. Moors and Xianfu Wang , ``Lipschitz functions with prescribed derivatives and subderivatives," J. Nonlinear Analysis: Theory, Methods, Applications, 29 (1997), 53-64.

  221. Jonathan M. Borwein, Petr Lisonek, and John A. Macdonald, ``Arithmetic-geometric means revisited,'' MapleTech, Special Issue on Maple in the Mathematical Sciences. 4 (1997) 20-27.

  222. J.M. Borwein and Xianfu Wang, ``Distinct differentiable functions may share the same Clarke subdifferential at all points,'' Proc. Amer. Math. Soc., 125 (1997), 807-813.

  223. J.M. Borwein and J. D. Vanderwerff, ``Convex functions on Banach spaces not containing $ l_1$ ,'' Canadian Math. Bulletin, 40 (1997), 10-18.

  224. D. H. Bailey, J.M. Borwein and R.H. Crandall, ``On the Khintchine constant,'' Mathematics of Computation, 66 (1997), 417-431.

  225. David H. Bailey, Jonathan M. Borwein, Peter B. Borwein and Simon Plouffe, ``The Quest for Pi,'' Mathematical Intelligencer, 19, Number 1 (Winter 1997), 50-57.

  226. J.M. Borwein and Qiji Zhu, ``Variational analysis in non-reflexive spaces and applications to control problems with $ L^1$ perturbations," J. Nonlinear Analysis, Theory Methods Applications, 28 (1997), 889-816.

  227. J.M. Borwein, D.M. Bradley and D.J. Broadhurst, ``Evaluations of $ k-$ fold Euler/Zagier sums: a compendium of results for arbitrary $ k$ ,'' Electronic Journal of Combinatorics, 4 (1997), R5 (21 pages). (The Wilf Festschrift)


  228. Jonathan M. Borwein, Peter B. Borwein, Stephen Braham, Robert Corless and Loki Jörgenson, ``Digitally Activated Mathematics for a Brave New World Wide Web,'' Education, Research and Perspectives, Special Issue on Multimedia Technologies and Education, 23, (1996) 28-47.

  229. D. Borwein, J.M. Borwein and Xianfu Wang,``Approximate Subgradients and Coderivatives in $ R^n$ ,'' Set-Valued Analysis, 4 (1996), 375-398.

  230. J.M. Borwein, P.B. Borwein, R. Girgensohn and S. Parnes, ``Making Sense of Experimental Mathematics,'' Mathematical Intelligencer, 18, Number 4 (Fall 1996), 12-18.

  231. H.H. Bauschke and J.M. Borwein, ``On projection algorithms for solving convex feasibility problems,'' SIAM Review, 38 (1996), 367-426.

  232. J.M. Borwein and Qiji Zhu, ``Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity,'' SIAM J. Optimization, 34 (1996), 1568-1591.

  233. J. M. Borwein and R. Girgensohn, ``Evaluating triple Euler sums,'' Electronic Journal of Combinatorics, 3 (1996), R23 (27 pages).

  234. J.M. Borwein, A.S. Lewis and D. Noll, ``Maximum entropy spectral analysis using first order information. Part 1: Fisher information and convex duality,'' Mathematics of Operations Research, 21 (1996), 442-468.

  235. J.M. Borwein and J.D. Vanderwerff, ``Epigraphical convergence and uniform convergence of convex functions,'' Transactions American Mathematical Society, 348 (1996), 1617-1631.

  236. J.M. Borwein and A. Ioffe, ``Proximal analysis in smooth spaces,'' Set-Valued Analysis, 4 (1996), 1-24.

  237. J.M. Borwein and J.D. Vanderwerff, ``Banach spaces which admit support sets,'' Proceedings Amer. Math. Soc., 124 (1996), 751-756.

  238. D. Borwein, J.M. Borwein, P.B. Borwein, and R. Girgensohn, ``Giuga's conjecture on primality,'' MAA Monthly, 103 (1996), 40-50.


  239. M.N. Limber, A. Celler, J.S. Barney, M.A. Limber, J.M. Borwein, ``Direct Reconstruction of Functional Parameters for Dynamic SPECT,'' IEEE Transactions on Nuclear Science, 42 (1995) 1249-1256

  240. J.M. Borwein, M.N. Limber and D. Noll, ``Fast heuristic methods for function reconstruction using derivative information,'' Applicable Analysis, 58 (1995), 241-261.

  241. J.M. Borwein and S. Fitzpatrick, ``w$ ^*$ -sequential compactness and bornological limit derivatives,'' J. Convex Analysis: Special Issue in Celebration of R.T. Rockafellar's 60th Birthday. Part I, 2 (1995), 59-68.

  242. J.M. Borwein and J. D. Vanderwerff, ``A survey on renorming and set convergence,'' Topological Methods in Nonlinear Analysis, 5 (1995), 211-228.

  243. J.M. Borwein and R. Girgensohn, ``Addition theorems and binary expansions,'' Canadian Journal of Mathematics, 47 (1995), 262-273.

  244. D. Borwein, J.M. Borwein and R. Girgensohn, ``Explicit evaluation of Euler sums,'' Proc. Edin. Math. Soc., 38 (1995), 273-294.

  245. D. Borwein and J.M. Borwein, ``On some intriguing sums involving $ \zeta$ (4),'' Proceedings Amer. Math. Soc., 123 (1995), 111-118.

  246. J.M. Borwein and W.Z. Huang, ``A fast heuristic method for polynomial moment matching with Boltzmann-Shannon entropy,'' SIAM J. Optimization, 5 (1995), 68-99.

  247. J.M. Borwein, A.S. Lewis, M.N. Limber and D. Noll, ``Maximum entropy spectral analysis using first order information. Part 2: A Numerical Algorithm for Fisher information duality,''Numerische Mathematik, 69 (1995), 243-256.

  248. J.M. Borwein and J. Vanderwerff, ``Convergence of Lipschitz regularizations of convex functions,'' J. Functional Analysis, 128 (1995) , 139-162.


  249. J.M. Borwein, S. Fitzpatrick and J. Vanderwerff, ``Examples of convex functions and classifications of normed spaces,'' Journal of Convex Analysis, 1(1994), 61-73.

  250. Jonathan Borwein, ``A convergent mean iteration: a proof that $ x_n
:= M(x_{n-1},x_{n-2},\cdots,x_{n-k})$ converges,'' Aequationes Math. 47(1994), 115-118.

  251. J.M. Borwein and W. Huang, ``Uniform convergence for moment problems with Fermi-Dirac type entropies,'' ZOR, 40 (1994), 239-252.

  252. J.M. Borwein and J. Vanderwerff, ``Further arguments for slice convergence in nonreflexive spaces,'' Set-Valued Analysis, 2 (1994), 529-544.

  253. J.M. Borwein and R. Girgensohn, ``Functional equations and distribution functions,'' (for Janos Aczel's 70th Birthday), Results in Mathematics, 26 (1994), 229-237.

  254. D. Borwein and J.M. Borwein, ``Some exponential and trigonometric lattice sums,'' J. Math. Analysis and Applications, 188 (1994), 209-218.

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

  256. D.H. Bailey, J.M. Borwein and R. Girgensohn, ``Experimental evaluation of Euler series,'' Experimental Mathematics, 3 (1994), 17-30.

  257. J.M. Borwein and J. Vanderwerff, ``Mosco, Wijsman and slice convergence in nonreflexive Banach spaces,'' Michigan Math Journal, 41 (1994), 371-387.

  258. J.M. Borwein, A.S. Lewis and M.A. Limber, ``Entropy minimization with lattice bounds,'' Journal of Approximation Theory, 79 (1994), 1-16.

  259. J.M. Borwein, A.S. Lewis, and R. Nussbaum, ``Entropy minimization, DAD problems and stochastic kernels,'' J. Functional Analysis, 123 (1994), 264-307.

  260. J.M. Borwein, P.B. Borwein and F. Garvan, "Some cubic modular identities of Ramanujan,'' Trans. Amer. Math. Soc., 343 (1994), 35-48.

  261. J.M. Borwein and M. Fabian, ``A note on regularity of sets and of distance functions in Banach space,'' J. Math. Anal. Appl, 182 (1994), 566-560.

  262. J.M. Borwein and D. Noll, ``Second order differentiability of convex functions in Banach spaces,'' Trans. Amer. Math. Soc., 342 (1994), 43-82.

  263. J.M. Borwein and A.S. Lewis, ``Strong rotundity and optimization,'' SIAM J. Optimization, 4 (1994), 146-158.


  264. J.M. Borwein and A.S. Lewis, "Convergence of decreasing sequences of convex sets in non-reflexive Banach spaces,'' Set-Valued Analysis, 4 (1993), 355-364.

  265. J.M. Borwein and M. Fabian, ``On convex functions having points of Gateaux differentiability which are not points of Fréchet differentiability,'' Canadian J. Math. 45 (1993), 1121-1134.

  266. J.M. Borwein, ``Asplund spaces are sequentially reflexive,'' Canadian J. Math. [Accepted February, withdrawn and merged with 121.] [Research Report CORR 91-14]

  267. J.M. Borwein and P.B. Borwein, ``Inequalities for compound means with logarithmic asymptotes,'' Journal of Mathematical Analysis and Applications, 177 (1993), 572-582.

  268. J.M. Borwein and S. Fitzpatrick, ``A weak Hadamard smooth renorming of $ L^1$ ,'' Canadian Math. Bulletin, 36 (1993), 407-413.

  269. H.H. Bauschke and J.M. Borwein, ``On the convergence of von Neumann's alternating projection algorithm for two sets,'' Set-Valued Analysis, 1 (1993), 185-212.

  270. J.M. Borwein, P.B. Borwein and F. Garvan, ``Hypergeometric analogues of the AGM iteration,'' Constructive Approximation, 9 (1993), 509-523.

  271. M. Hirschhorn, F. Garvan and J.M. Borwein, ``Cubic analogues of the Jacobian theta function $ \Theta(q,z)$ '' Canadian Journal of Mathematics, 45 (1993), 673-694.

  272. J.M. Borwein and A.S. Lewis, ``Partially-finite convex programming in $ L^1$ : entropy maximization,'' SIAM J. Optimization, 3 (1993), 248--267.

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

  274. J.M. Borwein and P.B. Borwein, ``Class number three Ramanujan type series for 1/$ \pi$ ,'' Journal of Computational and Applied Math (Special Issue), 46 (1993), 281-290.

  275. J.M. Borwein and D. Zhuang, "Super-efficient points in vector optimization,'' Trans. Amer. Math. Soc. 338 (1993), 105-122.

  276. G. Beer and J. Borwein, ``Mosco and slice convergence of level sets and graphs of linear functionals,'' J. Math. Analysis and Applications., 175 (1993), 53-67.

  277. J.M. Borwein and M. Fabian, ``Second-order Gateaux differentiability,'' J. Nonlinear Analysis: Theory, Methods, Applications, 20 (1993), 1373-82. [Research Report CORR 91-18].

  278. J.M. Borwein and P.B. Borwein, ``On the generating function of the integer part: $ [na+b]$ ,'' J. Number Theory, 43 (1993), 293-318.


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

  280. J.M. Borwein and M. Thera, ``Sandwich theorems for vector valued operators,'' Canadian Math. Bulletin, 35 (1992) 463-474.

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

  282. J.M. Borwein, S. Reich and I. Shafrir, ``Krasnoselski-Mann iterations in normed spaces.'' Canadian Math. Bulletin, 35 (1992), 21-28.

  283. J.M. Borwein and A.S. Lewis, ``Decomposition of multivariate functions,'' Canadian Journal of Math., 44 (1992), 463-482.

  284. J.M. Borwein and P.B. Borwein, ``Strange series evaluations and high precision fraud,'' MAA Monthly, 99 (1992), 622-640.

  285. J.M. Borwein and A.S. Lewis, ``Partially-finite convex programming, (I),'' Mathematical Programming, Series B, 57, (1992) 15-48.

  286. J.M. Borwein and A.S. Lewis, ``Partially-finite convex programming,(II),'' Mathematical Programming, Series B, 57 (1992), 49-83.


  287. J.M. Borwein, S. Fitzpatrick and P. Kenderov, ``Minimal convex uscos and monotone operators on small sets,'' Canadian Journal of Math., 43 (1991), 461-476.

  288. J.M. Borwein and D. Zhuang, ``Super-efficiency,'' ZOR, 35 (1991), 175-184.

  289. J.M. Borwein and D. Borwein, ``Fixed points of real functions revisited,'' J. Math. Anal. Appl., 151 (1991), 112-126.

  290. J.M. Borwein and A.S. Lewis, ``Convergence of best entropy estimates,'' SIAM J. Optimization 1 (1991), 191-205.

  291. J.M. Borwein and A.S. Lewis, ``Duality relationships for entropy-like minimization problems,'' SIAM J. Control and Optim., 29 (1991), 325-338.

  292. J.M. Borwein and P.B. Borwein, ``A cubic counterpart of Jacobi's identity and the AGM,'' Trans. Amer. Math. Soc., 323 (1991), 691-701.

  293. J.M. Borwein and A.S. Lewis, ``On the convergence of moment problems'', Trans. Amer. Math. Soc., 325 (1991), 249-271.

  294. J.M. Borwein and G. De Barra, ``Nested Radicals,'' MAA Monthly, 98 (1991), 735-739.


  295. G. Beer and J.M. Borwein, ``Mosco convergence and reflexivity,'' Proc. Amer. Math. Soc., 109 (1990), 427-436.


  296. J.M. Borwein and S. Fitzpatrick, ``Existence of nearest points in Banach spaces,'' Canadian Journal of Mathematics, 61 (1989), 702-720.

  297. J.M. Borwein, P.B. Borwein, and K. Dilcher, ``Euler numbers, asymptotic expansions and pi,'' MAA Monthly, 96 (1989), 681-687.

  298. J.M. Borwein and S. Fitzpatrick, ``Mosco convergence and the Kadec property,'' Proc. Amer. Math. Soc., 106 (1989), 843-851.

  299. J.M. Borwein and M.A.H. Dempster, ``The linear order-complementarity problem,'' Math. Operations Research, 14 (1989), 534-558.

  300. J.M. Borwein and P.B. Borwein, ``On the mean iteration $ (a,b)\rightarrow((a+3b)/4,(\surd ab+b)/2)$ ,'' Mathematics of Computation 53 (1989), 311-326.

  301. J.M. Borwein, P.B. Borwein, and D.H. Bailey, ``Ramanujan, modular equations and pi or how to compute a billion digits of pi,'' MAA Monthly, 96 (1989), 201-219. Reprinted in Organic Mathematics Proceedings,
    http:// www.cecm.sfu.ca/organics, April 12, 1996, with print version: CMS/AMS Conference Proceedings, 20 (1997), ISSN: 0731-1036.

  302. J.M. Borwein and H.M. Strojwas, ``The hypertangent cone,'' Nonlinear Analysis: Theory, Methods, Applications, 13 (1989), 125-139.

  303. J.M. Borwein, D. Borwein, and R. Shail, ``Analysis of certain lattice sums,'' J. Math. Anal. Appl.,143 (1989), 126-137.


  304. J.M. Borwein and S. Fitzpatrick, ``Local boundedness of monotone operators under minimal conditions,'' Australian Math Bull., 39 (1988), 439-441.

  305. J.M. Borwein, A. Ben Tal, and M. Teboulle, ``A dual approach to multidimensional spectral estimation problems,'' SIAM J. Control and Optimization, 26 (1988), 985-996.

  306. J.M. Borwein, D. Borwein, R. Shail and I.J. Zucker, ``Energy of static electron lattices,'' J. Phys. A: Math Gen. 21 (1988), 1519-1531.

  307. J.M. Borwein and P.B. Borwein, ``On the complexity of familiar functions and numbers,'' SIAM Review, 30 (1988), 589-601.

  308. J.M. Borwein and D.M. Zhuang, ``Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps,''J. Math. Analysis and Applications, 134 (1988), 441-459.

  309. J.M. Borwein and P.B. Borwein, ``Ramanujan and Pi,'' Scientific American, February 1988, 112-117. Japanese ed. April, Russian ed. April, German ed. May. Reprinted
    1. As pp. 647-659 of WORLD TREASURY OF PHYSICS, ASTRONOMY, AND MATHEMATICS, T. Ferris Ed., Little, Brown and Co, 1991.
    2. As pp. 60-68 of Moderne Mathematik, G. Faltings Ed., Spektrum Verlag, 1996 (with a computational update).
    3. As pp. 187-199 of Ramanujan: Essays and Surveys, Bruce C. Berndt and Robert A. Rankin Eds., AMS-LMS History of Mathematics, volume 22, 2001.

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


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

  312. J.M. Borwein, S.P. Fitzpatrick, and J.R. Giles, ``The differentiability of real functions on normed linear space using generalized gradients,'' Journal of Optimization Theory and Applications, 128 (1987), 512-534.

  313. J.M. Borwein, Epi-Lipschitz-like sets: ``Theorems and examples,'' Nonlinear Analysis: Theory, Methods and Applications, 11 (1987), 1207-1217.

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

  315. D.E. Ward and J.M. Borwein, ``Nonsmooth calculus in finite dimensions,'' SIAM J. Control and Optimization, 25 (1987), 1312-1340.

  316. J.M. Borwein and J.R. Giles, ``The proximal normal formula in Banach space,'' Trans. Amer. Math. Soc., 302 (1987), 371-381.

  317. J.M. Borwein and P.B. Borwein, ``The way of all means,'' MAA Monthly, 94 (1987), 519-522.

  318. J.M. Borwein, ``Automatic continuity and open mapping theorems for convex relations,'' Proc. Amer. Math. Soc., 99 (1987), 49-55.


  319. J.M. Borwein, ``Partially monotone operators and the generic differentiability of convex-concave and bi-convex mappings,'' Israel J. Math., 54 (1986), 42-50.

  320. J.M. Borwein, and H. Wolkowicz, ``A simple constraint qualification in infinite dimensional programming,'' Math. Programming, 35 (1986), 83-96.

  321. J.M. Borwein, ``Generic differentiability of order-bounded convex operators,'' Journal Aust. Math. Soc. B, 23 (l986), 22-29.

  322. J.M. Borwein and D. Zhuang, ``On Fan's minimax theorem,'' Math. Programming, 34 (1986), 232-234.

  323. J.M. Borwein and P.B. Borwein, ``An explicit cubic iteration for $ \pi$ ,'' BIT, 26 (1986), 123-126.

  324. J.M. Borwein and D. Borwein, ``Alternating sums in several dimensions,'' MAA Monthly, 93 (1986), 531-539.

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

  326. J.M. Borwein, ``Stability and regular points of inequality systems,'' in: Fourth Symposium on nonlinear programming with data perturbations, Journal of Optimization Theory and Applications, 48 (1986), 9-52.

  327. J.M. Borwein, ``Norm duality for convex processes and applications,'' in: Fourth Symposium on nonlinear programming with data perturbations, Journal of Optimization Theory and Applications, 48 (1986), 53-64.

  328. J.M. Borwein and P.B. Borwein, ``More quadratically converging algorithms for $ \pi$ ,'' J. Math. Computation, 43 (1986), 247-253.


  329. R.B. Honor, ``Density and transitivity results on $ l\sp \infty$ and $ l\sp
1,$ '' J. London Math. Soc., 32 (1985), 521-527. (Published by seven of us with an acronym.)

  330. J.M. Borwein, ``Some modular identities of Ramanujan useful in approximating $ \pi$ ,'' Proc. Amer. Math. Soc., 95 (1985), 365-371.

  331. J.M. Borwein and H.M. Strojwas, ``Tangential approximations,'' Nonlinear Analysis: Theory, Methods and Applications, 9 (1985), 1347-1366.

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

  333. J.M. Borwein and D.A. Tingley, ``On supportless convex sets,'' Proc. Amer. Math. Soc. 94 (1985) 471-476.


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

  335. J.M. Borwein and B. Sims, ``Non-expansive mappings on Banach lattices and related topics,'' Houston Math. Journal, 10, (1984), 339-356.

  336. J.M. Borwein and P.B. Borwein, ``Cubic and higher order algorithms for $ \pi$ ,'' Canadian Math Bulletin, 27 (1984), 436-443.

  337. J.M. Borwein, ``An integral characterization of Euclidean space,'' Bull. Aust. Math. Soc., 29 (1984), 357-364.

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

  339. J.M. Borwein, ``On subgradients of convex operators,'' Math. Operationsforchung, 15 (1984), 179-191.

  340. J.M. Borwein and J.W. Neuwenhuis, ``Two kinds of normality in vector optimization,'' Math. Programming, 28 (1984), 185-191.

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

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

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

  344. J.M. Borwein and P.B. Borwein, ``The arithmetic-geometric mean and fast computation of elementary functions," SIAM Rev. 26 (3) (1984), 351-–366.


  345. J.M. Borwein, ``A note on the Farkas lemma,'' Utilitas Math, 24 (1983), 235-241.

  346. J.M. Borwein and K.O. Kortanek, ``Fenchel duality and separably infinite programs,'' Math. Operationsforchung, 14 (1983), 37-48.

  347. J.M. Borwein, ``Adjoint process duality,'' Math. of Oper. Res., 8 (1983), 403-434.

  348. J.M. Borwein and P.B. Borwein, ``A very rapidly convergent product expansion for $ \pi$ ,'' BIT 23 (1983), 538-540.

  349. J.M. Borwein and B. Sims, ``Nonexpansive mappings on Banach lattices,'' Compte Rendu Roy. Soc. Canada 5 (1983), 21-26.

  350. J.M. Borwein, ``On the existence of Pareto efficient points,'' Math. of Oper. Res., 9 (1983), 64-73.

  351. J.M. Borwein, ``Completeness and the contraction principle,'' Proc. Amer. Math. Soc., 87 (1983), 246-250.


  352. J.M. Borwein, G.P.H. Styan, L.V. Foster, and H. Wolkowicz, ``Some inequalities involving Statistical Expressions," SIAM REVIEW 24 (1982), 340-342.

  353. J.M. Borwein, ``Necessary and sufficient conditions for quadratic minimality,'' Numerical Funct. Anal. and Appl., 5 (1982), 127-140.

  354. J.M. Borwein, ``Continuity and differentiability properties of convex operators,'' Proc. London Math. Soc., 44 (1982), 420-444.

  355. J.M. Borwein, ``A note on the existence of subgradients,'' Math. Programming, 24 (1982) 225-228.

  356. J.M. Borwein, ``On the Hahn-Banach extension property,'' Proc. Amer. Math. Soc. 86 (1982) 42-46.

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

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

  359. J.M. Borwein and H. Wolkowicz, ``Regularizing the abstract convex program,'' J. Math. Anal. Appl., 83 (1981), 495-530.

  360. J.M. Borwein, ``A Lagrange multiplier theorem and a sandwich theorem for convex relations,'' Math. Scand., 48 (1981), 198-204.

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

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

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

  364. J.M. Borwein and H. Wolkowicz, ``Facial reduction for a cone-convex programming problem,'' Journal Aust. Math. Soc. A, 30 (1981), 369-380.

  365. J.M. Borwein, ``The direct method in semi-infinite programming,'' Math. Programming 21 (1981), 301-318.


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

  367. J.M. Borwein, ``Lexicographic multipliers,'' J. Math. Anal. and Appl., 78 (1980), 309-327.

  368. J.M. Borwein, ``A note on perfect duality and limiting Lagrangians,'' Math. Programming, 18 (1980), 330-337.

  369. J.M. Borwein, ``The Geometry of Pareto optimality,'' Math. Operationsforchung, 11 (1980), 235-248.

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

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


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

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

  374. J.M. Borwein, ``A multivalued approach to the Farkas lemma,'' Math. Programming Study, 10 (1979), 42-47.

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

  376. J.M. Borwein, ``Monochrome lines in the plane,'' Math. Magazine, 52 (1979), 41-45.


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

  378. J.M. Borwein, ``Weak tangent cones and optimization in a Banach space,'' SIAM J. Control and Optimization, 16 (1978), 512-522.

  379. J.M. Borwein, ``On strongly exposing functionals,'' Proc. Amer. Math. Soc., 69 (1978), 46-48.


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

  381. J.M. Borwein, ``Proper efficient points for maximizations with respect to cones,'' SIAM J. Control and Optimization, 15 (1977), 57-63.

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

  383. J.M. Borwein, ``Multivalued convexity and optimization: a unified approach to inequality and equality constraints,'' Math. Programming, 13 (1977), 183-199.


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

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

  386. J.M. Borwein, ``A note on Fritz John sufficiency,'' Bull. Aust. Math. Soc., 15 (1976), 293-296.

  387. J.M. Borwein, ``Fractional programming without differentiability,'' Math. Programming, 11 (1976), 283-290.

  388. J.M. Borwein, ``On convex decompositions,'' Nanta. Math. Accepted but never published as the Journal expired.


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