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Borwein, Jonathan Michael

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Author ID: borwein.jonathan-michael Recent zbMATH articles by "Borwein, Jonathan Michael"
Published as: Borwein, Jonathan M.; Borwein, J. M.; Borwein, Jonathan; Borwein, J.; Borwein, Jon; Borwein, Jonathan Michael; Borwein, Jon M.; Borwein, Jon. M.
Homepage: https://www.carma.newcastle.edu.au/jon/
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef
Member of Collective: Honor, R. B.
Documents Indexed: 474 Publications since 1976, including 31 Books
Biographic References: 13 Publications
all top 5

Co-Authors

69 single-authored
52 Bailey, David Harold
39 Borwein, Peter Benjamin
33 Borwein, David
21 Lewis, Adrian S.
20 Vanderwerff, Jon D.
20 Wang, Shawn Xianfu
18 Bauschke, Heinz H.
17 Crandall, Richard E.
16 Girgensohn, Roland
15 Zhu, Qiji Jim
14 Yao, Liangjin
13 Straub, Armin
11 Moors, Warren B.
9 Aragón Artacho, Francisco Javier
9 Bradley, David M.
9 Fitzpatrick, Simon
9 Tam, Matthew K.
8 Sims, Brailey
7 Wan, James Gu Feng
6 Broadhurst, David John
6 Luke, D. Russell
6 Wolkowicz, Henry
5 Fabian, Martin
5 Stròjwas, H. M.
5 Zucker, I. John
4 Bugeaud, Yann
4 Chan, O-Yeat
4 Choi, Kwok-Kwong Stephen
4 Coons, Michael
4 Corless, Robert Malcolm
4 Garvan, Frank G.
4 Giladi, Ohad
4 Kortezov, Ivaylo S.
4 Noll, Dominikus
4 O’Brien, Richard C.
4 Skerritt, Matthew P.
4 Zudilin, Wadim
3 Berggren, John Lennart
3 Calkin, Neil J.
3 Giles, John R.
3 Howlett, Phil G.
3 Lindstrom, Scott B.
3 Lisoněk, Petr
3 Maréchal, Pierre
3 Mordukhovich, Boris S.
3 Reich, Simeon
2 Bačák, Miroslav
2 Beer, Gerald Alan
2 Borowski, Ephraim
2 Burachik, Regina Sandra
2 Chapman, Scott Thomas
2 Combettes, Patrick L.
2 Dempster, Michael A. H.
2 Devlin, Keith J.
2 Dilcher, Karl
2 Eberhard, Andrew C.
2 Edelstein, Michael
2 Fabian, Marián J.
2 Fee, Greg J.
2 Fitzpatrick, S. P.
2 Goebel, Rafal
2 Hamilton, Chris H.
2 Henrion, René
2 Huang, Wanzhen
2 Jörgenson, Loki
2 Li, Guoyin
2 Limber, Martha N.
2 Loewen, Philip D.
2 López-Cerdá, Marco Antonio
2 López de Prado, Marcos
2 Mattingly, Andrew
2 Nuyens, Dirk
2 Parnes, Sheldon
2 Piantadosi, Julia
2 Rodrigues, José Francisco
2 Shail, Ron
2 Shao, Yongheng
2 Stanway, Terry
2 Théra, Michel A.
2 Treiman, Jay S.
2 Watters, Carolyn
2 Wiersma, Herre
1 Alladi, Krishnaswami
1 Amdeberhan, Tewodros
1 Andrews, George Eyre
1 Baake, Michael
1 Baillie, Robert
1 Bartz, Sedi
1 Barzilai, Jonathan
1 Ben-Tal, Aharon
1 Benoist, Joël
1 Berndt, Bruce Carl
1 Boersma, Johannes
1 Brent, Richard Peirce
1 Burke, James V.
1 Calude, Cristian S.
1 Chamberland, Marc
1 Cheng, Lixin
1 Choksi, Rustum
1 Davidson, Kenneth R.
...and 76 more Co-Authors
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Serials

26 American Mathematical Monthly
20 Proceedings of the American Mathematical Society
17 Journal of Mathematical Analysis and Applications
17 Experimental Mathematics
17 Journal of Convex Analysis
13 Canadian Journal of Mathematics
12 Canadian Mathematical Bulletin
12 Transactions of the American Mathematical Society
11 SIAM Journal on Optimization
10 Journal of Optimization Theory and Applications
10 Set-Valued Analysis
10 The Ramanujan Journal
9 Notices of the American Mathematical Society
8 Mathematical Programming
8 Nonlinear Analysis. Theory, Methods & Applications
7 Journal of Approximation Theory
7 SIAM Journal on Control and Optimization
7 Mathematical Programming. Series A. Series B
7 Journal of Nonlinear and Convex Analysis
6 Bulletin of the Australian Mathematical Society
6 Mathematics of Computation
6 Set-Valued and Variational Analysis
5 The Mathematical Intelligencer
5 Mathematics of Operations Research
5 Optimization Letters
4 The Australian Mathematical Society Gazette
4 Journal of Functional Analysis
4 Mathematical Inequalities & Applications
3 Applied Mathematics and Computation
3 Journal of Computational and Applied Mathematics
3 Mathematische Operationsforschung und Statistik. Series Optimization
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Pacific Journal of Mathematics
3 Optimization
3 Journal of Global Optimization
3 SIAM Review
3 The Electronic Journal of Combinatorics
3 Journal of the Australian Mathematical Society
3 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC
2 IMA Journal of Numerical Analysis
2 Israel Journal of Mathematics
2 Journal of the Australian Mathematical Society, Series B
2 Journal of Mathematical Physics
2 BIT
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of the London Mathematical Society. Second Series
2 Mathematical Programming Study
2 Numerische Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Comptes Rendus Mathématiques de l’Académie des Sciences
2 Journal of Symbolic Computation
2 Journal of the Australian Mathematical Society. Series A
2 Journal of Physics A: Mathematical and General
2 ZOR. Zeitschrift für Operations Research
2 Mathematical Methods of Operations Research
2 Integers
2 International Journal of Number Theory
2 Encyclopedia of Mathematics and Its Applications
2 Canadian Mathematical Society Series of Monographs and Advanced Texts
2 Journal of Physics A: Mathematical and Theoretical
2 Springer Undergraduate Texts in Mathematics and Technology
1 Applicable Analysis
1 Discrete Mathematics
1 Houston Journal of Mathematics
1 Rocky Mountain Journal of Mathematics
1 Mathematics Magazine
1 Acta Mathematica Vietnamica
1 Bulletin of the Calcutta Mathematical Society
1 The Journal of the Indian Mathematical Society. New Series
1 Journal of Number Theory
1 Mathematica Scandinavica
1 Michigan Mathematical Journal
1 Nanta Mathematica
1 Numerical Functional Analysis and Optimization
1 Proceedings of the London Mathematical Society. Third Series
1 Results in Mathematics
1 SIAM Journal on Numerical Analysis
1 SIGSAM Bulletin
1 Theoretical Computer Science
1 Utilitas Mathematica
1 Constructive Approximation
1 Aequationes Mathematicae
1 Doklady Bolgarskoĭ Akademii Nauk
1 Pokroky Matematiky, Fyziky & Astronomie
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Topological Methods in Nonlinear Analysis
1 Journal de Théorie des Nombres de Bordeaux
1 Journal of Mathematical Sciences (New York)
1 Serdica Mathematical Journal
1 Documenta Mathematica
1 European Mathematical Society Newsletter
1
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Abstract and Applied Analysis
1 Journal of Integer Sequences
1 Communications in Contemporary Mathematics
1 Nonlinear Analysis Forum
1 The ANZIAM Journal
1 Advanced Studies in Contemporary Mathematics (Kyungshang)
1 Boundary Value Problems
...and 12 more Serials
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Fields

127 Calculus of variations and optimal control; optimization (49-XX)
127 Operations research, mathematical programming (90-XX)
121 Number theory (11-XX)
110 Functional analysis (46-XX)
70 Special functions (33-XX)
62 Operator theory (47-XX)
58 Numerical analysis (65-XX)
47 Convex and discrete geometry (52-XX)
42 Real functions (26-XX)
36 General and overarching topics; collections (00-XX)
31 History and biography (01-XX)
31 Computer science (68-XX)
22 Approximations and expansions (41-XX)
19 Sequences, series, summability (40-XX)
19 Global analysis, analysis on manifolds (58-XX)
17 General topology (54-XX)
15 Probability theory and stochastic processes (60-XX)
9 Combinatorics (05-XX)
8 Functions of a complex variable (30-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Difference and functional equations (39-XX)
7 Information and communication theory, circuits (94-XX)
7 Mathematics education (97-XX)
6 Statistics (62-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Systems theory; control (93-XX)
3 Measure and integration (28-XX)
3 Ordinary differential equations (34-XX)
3 Partial differential equations (35-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Geometry (51-XX)
3 Biology and other natural sciences (92-XX)
2 Mathematical logic and foundations (03-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Commutative algebra (13-XX)
1 Topological groups, Lie groups (22-XX)
1 Optics, electromagnetic theory (78-XX)
1 Geophysics (86-XX)

Publications by Year

Citations contained in zbMATH Open

416 Publications have been cited 7,827 times in 5,068 Documents Cited by Year
On projection algorithms for solving convex feasibility problems. Zbl 0865.47039
Bauschke, Heinz H.; Borwein, Jonathan M.
612
1996
Two-point step size gradient methods. Zbl 0638.65055
Barzilai, Jonathan; Borwein, Jonathan M.
538
1988
Techniques of variational analysis. Zbl 1076.49001
Borwein, Jonathan M.; Zhu, Qiji J.
202
2005
Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0611.10001
Borwein, Jonathan M.; Borwein, Peter B.
182
1987
Proper efficient points for maximizations with respect to cones. Zbl 0369.90096
Borwein, J.
172
1977
Convex analysis and nonlinear optimization. Theory and examples. 2nd ed. Zbl 1116.90001
Borwein, Jonathan M.; Lewis, Adrian S.
129
2006
Partially finite convex programming. I: Quasi relative interiors and duality theory. Zbl 0778.90049
Borwein, J. M.; Lewis, A. S.
127
1992
Super efficiency in vector optimization. Zbl 0796.90045
Borwein, J. M.; Zhuang, D.
121
1993
Special values of multiple polylogarithms. Zbl 1002.11093
Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr
115
2001
Convex analysis and nonlinear optimization. Theory and examples. Zbl 0953.90001
Borwein, Jonathan M.; Lewis, Adrian S.
111
2000
Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces. Zbl 1032.49025
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
109
2001
Explicit evaluation of Euler sums. Zbl 0819.40003
Borwein, David; Borwein, Jonathan M.; Girgensohn, Roland
94
1995
A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions. Zbl 0632.49008
Borwein, J. M.; Preiss, D.
94
1987
Convex functions. Constructions, characterizations and counterexamples. Zbl 1191.26001
Borwein, Jonathan M.; Vanderwerff, Jon D.
93
2010
On the convergence of von Neumann’s alternating projection algorithm for two sets. Zbl 0801.47042
Bauschke, H. H.; Borwein, J. M.
91
1993
Bregman monotone optimization algorithms. Zbl 1049.90053
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
91
2003
A cubic counterpart of Jacobi’s identity and the AGM. Zbl 0725.33014
Borwein, J. M.; Borwein, P. B.
87
1991
Strong conical hull intersection property, bounded linear regularity, Jameson’s property \((G)\), and error bounds in convex optimization. Zbl 0998.90088
Bauschke, Heinz H.; Borwein, Jonathan M.; Li, Wu
84
1999
Legendre functions and the method of random Bregman projections. Zbl 0894.49019
Bauschke, Heinz G.; Borwein, Jonathan M.
83
1997
Stability and regular points of inequality systems. Zbl 0557.49020
Borwein, J. M.
82
1986
Ramanujan’s rational and algebraic series for \(1/\pi\). Zbl 0699.10044
Borwein, J. M.; Borwein, P. B.
73
1987
Evaluations of \(k\)-fold Euler/Zagier sums: a compendium of results for arbitrary \(k\). Zbl 0884.40004
Borwein, J. M.; Bradley, D. M.; Broadhurst, D. J.
67
1997
On the existence of Pareto efficient points. Zbl 0508.90080
Borwein, Jonathan M.
65
1983
Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps. Zbl 0654.49004
Borwein, J. M.; Zhuang, D. M.
63
1988
Cubic analogues of the Jacobian theta function \(\theta(z,q)\). Zbl 0797.33012
Hirschhorn, Michael; Garvan, Frank; Borwein, Jon
62
1993
Experimental evaluation of Euler sums. Zbl 0810.11076
Bailey, David H.; Borwein, Jonathan M.; Girgensohn, Roland
60
1994
The method of cyclic projections for closed convex sets in Hilbert space. Zbl 0874.47029
Bauschke, Heinz H.; Borwein, Jonathan M.; Lewis, Adrian S.
57
1997
Multivalued convexity and optimization: A unified approach to inequality and equality constraints. Zbl 0375.90062
Borwein, J.
56
1977
The geometry of Pareto efficiency over cones. Zbl 0447.90077
Borwein, J. M.
55
1980
Convergence of best entropy estimates. Zbl 0756.41037
Borwein, J. M.; Lewis, A. S.
53
1991
Some cubic modular identities of Ramanujan. Zbl 0799.33012
Borwein, J. M.; Borwein, P. B.; Garvan, F. G.
53
1994
Dykstra’s alternating projection algorithm for two sets. Zbl 0833.46011
Bauschke, H. H.; Borwein, J. M.
53
1994
Continuity and differentiability properties of convex operators. Zbl 0487.46026
Borwein, J. M.
51
1982
Tangential approximations. Zbl 0613.49016
Borwein, J. M.; Strojwas, H. M.
49
1985
Regularizing the abstract convex program. Zbl 0467.90076
Borwein, Jon; Wolkowicz, Henry
48
1981
Duality relationships for entropy-like minimization problems. Zbl 0797.49030
Borwein, J. M.; Lewis, A. S.
48
1991
Maximal monotonicity via convex analysis. Zbl 1111.47042
Borwein, Jonathan M.
47
2006
Existence of nearest points in Banach spaces. Zbl 0668.46006
Borwein, Jonathan M.; Fitzpatrick, Simon
47
1989
Computational strategies for the Riemann zeta function. Zbl 0972.11077
Borwein, Jonathan M.; Bradley, David M.; Crandall, Richard E.
46
2000
A survey of subdifferential calculus with applications. Zbl 0933.49006
Borwein, Jonathan M.; Zhu, Qiji J.
44
1999
Notions of relative interior in Banach spaces. Zbl 1136.49307
Borwein, J.; Goebel, R.
42
2003
Experimentation in mathematics. Computational paths to discovery. Zbl 1083.00002
Borwein, Jonathan; Bailey, David; Girgensohn, Roland
42
2004
Krasnoselski-Mann iterations in normed spaces. Zbl 0712.47050
Borwein, Jonathan; Reich, Simeon; Shafrir, Itai
42
1992
Fifty years of maximal monotonicity. Zbl 1214.47043
Borwein, Jonathan M.
40
2010
Proximal analysis and boundaries of closed sets in Banach space. I: Theory. Zbl 0577.46011
Borwein, J. M.; Strojwas, H. M.
40
1986
The evaluation of character Euler double sums. Zbl 1241.11108
Borwein, J. M.; Zucker, I. J.; Boersma, J.
39
2008
On an intriguing integral and some series related to \(\zeta (4)\). Zbl 0840.11036
Borwein, David; Borwein, Jonathan M.
37
1995
Elliptic integral evaluations of Bessel moments and applications. Zbl 1152.33003
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Glasser, M. L.
37
2008
A Lagrange multiplier theorem and a sandwich theorem for convex relations. Zbl 0468.49007
Borwein, J. M.
36
1981
Mathematics by experiment. Plausible reasoning in the 21st century. 2nd revised and updated ed. Zbl 1163.00002
Borwein, Jonathan; Bailey, David
34
2008
Combinatorial aspects of multiple zeta values. Zbl 0904.05012
Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr
34
1998
Nonsmooth calculus in finite dimensions. Zbl 0633.46043
Ward, D. E.; Borwein, J. M.
34
1987
Recent results on Douglas-Rachford methods for combinatorial optimization problems. Zbl 1305.90341
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K.
33
2014
The proximal normal formula in Banach space. Zbl 0632.49007
Borwein, J. M.; Giles, J. R.
33
1987
A note on epsilon-subgradients and maximal monotonicity. Zbl 0525.49010
Borwein, J. M.
32
1982
Essentially smooth Lipschitz functions. Zbl 0896.49007
Borwein, Jonathan M.; Moors, Warren B.
32
1997
The differentiability of real functions on normed linear space using generalized subgradients. Zbl 0644.46032
Borwein, J. M.; Fitzpatrick, S. P.; Giles, J. R.
31
1987
Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi. Zbl 0672.10017
Borwein, J. M.; Borwein, P. B.; Bailey, D. H.
31
1989
Facial reduction for a cone-convex programming problem. Zbl 0464.90086
Borwein, Jon M.; Wolkowicz, Henry
31
1981
Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity. Zbl 0882.49020
Borwein, Jonathan M.; Zhu, Qiji J.
30
1996
A cyclic Douglas-Rachford iteration scheme. Zbl 1305.90407
Borwein, Jonathan M.; Tam, Matthew K.
30
2014
Adjoint process duality. Zbl 0534.49015
Borwein, J. M.
29
1983
Evaluation of triple Euler sums. Zbl 0884.40005
Borwein, Jonathan M.; Girgensohn, Roland
29
1996
The arithmetic-geometric mean and fast computation of elementary functions. Zbl 0557.65009
Borwein, J. M.; Borwein, P. B.
29
1984
Global convergence of a non-convex Douglas-Rachford iteration. Zbl 1286.90114
Aragón Artacho, Francisco J.; Borwein, Jonathan M.
29
2013
A characterization of quasiconvex vector-valued functions. Zbl 1024.26020
Benoist, Joël; Borwein, Jonathan M.; Popovici, Nicolae
28
2003
Minimal cuscos and subgradients of Lipschitz functions. Zbl 0743.49006
Borwein, J. M.
27
1991
Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative. Zbl 1119.47050
Bartz, Sedi; Bauschke, Heinz H.; Borwein, Jonathan M.; Reich, Simeon; Wang, Xianfu
27
2007
Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0903.11001
Borwein, Jonathan M.; Borwein, Peter B.
27
1998
Mosco convergence and the Kadec property. Zbl 0672.46007
Borwein, Jonathan M.; Fitzpatrick, Simon
27
1989
Characterizations of optimality without constraint qualification for the abstract convex program. Zbl 0495.90085
Borwein, J. M.; Wolkowicz, H.
26
1982
Douglas-Rachford feasibility methods for matrix completion problems. Zbl 1297.90182
Artacho, Francisco J. Aragón; Borwein, Jonathan M.; Tam, Matthew K.
26
2014
Fixed point iterations for real functions. Zbl 0742.26006
Borwein, David; Borwein, Jonathan
25
1991
Maximality of sums of two maximal monotone operators in general Banach space. Zbl 1130.47031
Borwein, Jonathan M.
25
2007
The Douglas-Rachford algorithm in the absence of convexity. Zbl 1259.90098
Borwein, Jonathan M.; Sims, Brailey
24
2011
Epi-Lipschitz-like sets in Banach space: Theorems and examples. Zbl 0639.49014
Borwein, Jonathan Michael
24
1987
Conjugate convex operators. Zbl 0588.46027
Borwein, J. M.; Penot, J. P.; Thera, M.
24
1984
Mosco convergence and reflexivity. Zbl 0763.46006
Beer, Gerald; Borwein, Jonathan M.
23
1990
Lattice sums then and now. With a foreword by Helaman Ferguson and Claire Ferguson. Zbl 1312.11001
Borwein, J. M.; Glasser, M. L.; McPhedran, R. C.; Wan, J. G.; Zucker, I. J.
23
2013
Proximal analysis and boundaries of closed sets in Banach space. II: applications. Zbl 0621.46019
Borwein, J. M.; Strojwas, H. M.
23
1987
Analysis of the convergence rate for the cyclic projection algorithm applied to basic semialgebraic convex sets. Zbl 1296.41011
Borwein, Jonathan M.; Li, Guoyin; Yao, Liangjin
23
2014
Second order differentiability of convex functions in Banach spaces. Zbl 0802.46027
Borwein, Jonathan M.; Noll, Dominikus
23
1994
Central binomial sums, multiple Clausen values, and zeta values. Zbl 0998.11045
Borwein, Jonathan Michael; Broadhurst, David J.; Kamnitzer, Joel
23
2001
Densities of short uniform random walks. Zbl 1296.33011
Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim
22
2012
Inequalities for compound mean iterations with logarithmic asymptotes. Zbl 0783.33001
Borwein, Jonathan M.; Borwein, Peter B.
22
1993
Entropy minimization, \(DAD\) problems, and doubly stochastic kernels. Zbl 0815.15021
Borwein, J. M.; Lewis, A. S.; Nussbaum, R. D.
22
1994
A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept. Zbl 1221.26019
Borwein, Jonathan M.; Reich, Simeon; Sabach, Shoham
22
2011
Thirty-two Goldbach variations. Zbl 1094.11031
Borwein, Jonathan M.; Bradley, David M.
22
2006
Fitzpatrick functions and continuous linear monotone operators. Zbl 1157.47034
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu
22
2007
Convergence rate analysis for averaged fixed point iterations in common fixed point problems. Zbl 1361.90045
Borwein, Jonathan M.; Li, Guoyin; Tam, Matthew K.
21
2017
On the convergence of moment problems. Zbl 0741.41021
Borwein, J. M.; Lewis, A. S.
20
1991
Partially finite convex programming. II: Explicit lattice models. Zbl 0778.90050
Borwein, J. M.; Lewis, A. S.
20
1992
On difference convexity of locally Lipschitz functions. Zbl 1237.46007
Bačák, Miroslav; Borwein, Jonathan M.
20
2011
Bounded linear regularity, strong CHIP, and CHIP are distinct properties. Zbl 0964.90032
Bauschke, Heinz H.; Borwein, Jonathan M.; Tseng, Paul
20
2000
Direct theorems in semi-infinite convex programming. Zbl 0469.90065
Borwein, J. M.
19
1981
Experimental mathematics in action. Zbl 1127.00002
Bailey, David H.; Borwein, Jonathan M.; Calkin, Neil J.; Girgensohn, Roland; Luke, D. Russell; Moll, Victor H.
19
2007
Global behavior of the Douglas-Rachford method for a nonconvex feasibility problem. Zbl 1338.90310
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K.
19
2016
Compactly epi-Lipschitzian convex sets and functions in normed spaces. Zbl 0989.49018
Borwein, Jonathan; Lucet, Yves; Mordukhovich, Boris
19
2000
Some arithmetic properties of short random walk integrals. Zbl 1233.60024
Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James
18
2011
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
18
2014
Checkerboard copulas of maximum entropy with prescribed mixed moments. Zbl 1437.60010
Borwein, Jonathan; Howlett, Phil
1
2019
Dynamics of the Douglas-Rachford method for ellipses and \(p\)-spheres. Zbl 06913665
Borwein, Jonathan M.; Lindstrom, Scott B.; Sims, Brailey; Schneider, Anna; Skerritt, Matthew P.
9
2018
Gamma and factorial in the Monthly. Zbl 1392.33001
Borwein, Jonathan M.; Corless, Robert M.
5
2018
Derivatives and fast evaluation of the Tornheim zeta function. Zbl 1433.11106
Borwein, Jonathan M.; Dilcher, Karl
4
2018
Computation and experimental evaluation of Mordell-Tornheim-Witten sum derivatives. Zbl 1450.11124
Bailey, David H.; Borwein, J. M.
3
2018
Convex analysis in groups and semigroups: a sampler. Zbl 1392.49007
Borwein, Jonathan M.; Giladi, Ohad
2
2018
Ergodic behaviour of a Douglas-Rachford operator away from the origin. Zbl 07289912
Borwein, Jonathan M.; Giladi, Ohad
1
2018
Convergence rate analysis for averaged fixed point iterations in common fixed point problems. Zbl 1361.90045
Borwein, Jonathan M.; Li, Guoyin; Tam, Matthew K.
21
2017
Reflection methods for inverse problems with applications to protein conformation determination. Zbl 1403.49012
Borwein, Jonathan M.; Tam, Matthew K.
3
2017
Generalized continued logarithms and related continued fractions. Zbl 1422.11153
Borwein, Jonathan M.; Hare, Kevin G.; Lynch, Jason G.
2
2017
Reproducibility in computational science: A case study: randomness of the digits of pi. Zbl 1426.11133
Bailey, David H.; Borwein, Jonathan M.; Brent, Richard P.; Reisi, Mohsen
2
2017
Computer discovery and analysis of large Poisson polynomials. Zbl 1426.11134
Bailey, David H.; Borwein, Jonathan M.; Kimberley, Jason S.; Ladd, Watson
2
2017
Adventures with the OEIS. Zbl 1390.11055
Borwein, Jonathan M.
1
2017
Generalisations, examples, and counter-examples in analysis and optimisation. In honour of Michel Théra at 70. Zbl 06804489
Borwein, Jonathan M.
1
2017
Continued logarithms and associated continued fractions. Zbl 1422.11152
Borwein, Jonathan M.; Calkin, Neil J.; Lindstrom, Scott B.; Mattingly, Andrew
1
2017
Global behavior of the Douglas-Rachford method for a nonconvex feasibility problem. Zbl 1338.90310
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K.
19
2016
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums. Zbl 1331.11065
Bailey, D. H.; Borwein, J. M.
8
2016
Densities of short uniform random walks in higher dimensions. Zbl 1333.60086
Borwein, Jonathan M.; Straub, Armin; Vignat, Christophe
4
2016
Meetings with Lambert \(\mathcal W\) and other special functions in optimization and analysis. Zbl 1349.90674
Borwein, Jonathan M.; Lindstrom, Scott B.
4
2016
Maximal monotone inclusions and Fitzpatrick functions. Zbl 1354.90135
Borwein, J. M.; Dutta, J.
4
2016
A very complicated proof of the minimax theorem. Zbl 1337.46049
Borwein, Jonathan
3
2016
Pi: the next generation. A sourcebook on the recent history of pi and its computation. Zbl 1342.01042
Bailey, David H.; Borwein, Jonathan M.
3
2016
Some remarks on convex analysis in topological groups. Zbl 1358.46006
Borwein, Jonathan M.; Giladi, Ohad
3
2016
A closed form for the density functions of random walks in odd dimensions. Zbl 1347.60049
Borwein, Jonathan M.; Sinnamon, Corwin W.
2
2016
A variational approach to Lagrange multipliers. Zbl 1354.90091
Borwein, Jonathan M.; Zhu, Qiji J.
2
2016
Nearest points and delta convex functions in Banach spaces. Zbl 1388.46017
Borwein, Jonathan M.; Giladi, Ohad
1
2016
The cyclic Douglas-Rachford method for inconsistent feasibility problems. Zbl 1315.47061
Borwein, Jonathan M.; Tam, Matthew K.
18
2015
Norm convergence of realistic projection and reflection methods. Zbl 1440.47050
Borwein, Jonathan M.; Sims, Brailey; Tam, Matthew K.
8
2015
On Eulerian log-gamma integrals and Tornheim-Witten zeta functions. Zbl 1382.11068
Bailey, David H.; Borwein, David; Borwein, Jonathan M.
7
2015
Computation and theory of Mordell-Tornheim-Witten sums. II. Zbl 1326.11050
Bailey, D. H.; Borwein, J. M.
3
2015
Duality and convex programming. 2nd edition. Zbl 1331.49041
Borwein, Jonathan M.; Luke, D. Russell
2
2015
Crandall’s computation of the incomplete gamma function and the Hurwitz zeta function, with applications to Dirichlet \(L\)-series. Zbl 1410.33013
Bailey, D. H.; Borwein, J. M.
2
2015
High-precision arithmetic in mathematical physics. Zbl 1318.65025
Bailey, David H.; Borwein, Jonathan M.
2
2015
I prefer Pi: a brief history and anthology of articles in The American Mathematical Monthly. Zbl 1328.01076
Borwein, Jonathan M.; Chapman, Scott T.
2
2015
Recent progress on monotone operator theory. Zbl 1328.47054
Borwein, Jonathan M.; Yao, Liangjin
1
2015
Relations for Nielsen polylogarithms. Zbl 1315.33006
Borwein, Jonathan M.; Straub, Armin
1
2015
Recent results on Douglas-Rachford methods for combinatorial optimization problems. Zbl 1305.90341
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K.
33
2014
A cyclic Douglas-Rachford iteration scheme. Zbl 1305.90407
Borwein, Jonathan M.; Tam, Matthew K.
30
2014
Douglas-Rachford feasibility methods for matrix completion problems. Zbl 1297.90182
Artacho, Francisco J. Aragón; Borwein, Jonathan M.; Tam, Matthew K.
26
2014
Analysis of the convergence rate for the cyclic projection algorithm applied to basic semialgebraic convex sets. Zbl 1296.41011
Borwein, Jonathan M.; Li, Guoyin; Yao, Liangjin
23
2014
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
18
2014
Computation and theory of extended Mordell-Tornheim-Witten sums. Zbl 1296.33004
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
14
2014
Conditions for zero duality gap in convex programming. Zbl 1301.49035
Borwein, Jonathan M.; Burachik, Regina S.; Yao, Liangjin
7
2014
Some results on the convexity of the closure of the domain of a maximally monotone operator. Zbl 1298.47061
Borwein, Jonathan M.; Yao, Liangjin
4
2014
Applications of convex analysis within mathematics. Zbl 1306.47058
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Martín-Márquez, Victoria; Yao, Liangjin
3
2014
Legendre-type integrands and convex integral functions. Zbl 1301.46042
Borwein, Jonathan M.; Yao, Liangjin
3
2014
On lattice sums and Wigner limits. Zbl 1369.11046
Borwein, David; Borwein, Jonathan M.; Straub, Armin
3
2014
Sum theorems for maximally monotone operators of type (FPV). Zbl 1303.47071
Borwein, Jonathan M.; Yao, Liangjin
2
2014
On the solution of linear mean recurrences. Zbl 1303.39002
Borwein, David; Borwein, Jonathan M.; Sims, Brailey
2
2014
Pseudo-mathematics and financial charlatanism: the effects of backtest overfitting on out-of-sample performance. Zbl 1338.91157
Bailey, David H.; Borwein, Jonathan M.; López de Prado, Marcos; Zhu, Qiji Jim
2
2014
Pi day is upon us again and we still do not know if pi is normal. Zbl 1300.00005
Bailey, David H.; Borwein, Jonathan
1
2014
Automated simplification of large symbolic expressions. Zbl 1310.68259
Bailey, David H.; Borwein, Jonathan M.; Kaiser, Alexander D.
1
2014
The life of \(\pi\): from Archimedes to ENIAC and beyond. Zbl 1284.01010
Borwein, Jonathan M.
1
2014
Global convergence of a non-convex Douglas-Rachford iteration. Zbl 1286.90114
Aragón Artacho, Francisco J.; Borwein, Jonathan M.
29
2013
Lattice sums then and now. With a foreword by Helaman Ferguson and Claire Ferguson. Zbl 1312.11001
Borwein, J. M.; Glasser, M. L.; McPhedran, R. C.; Wan, J. G.; Zucker, I. J.
23
2013
Three-step and four-step random walk integrals. Zbl 1268.33005
Borwein, Jonathan M.; Straub, Armin; Wan, James
14
2013
Closed forms: what they are and why we care. Zbl 1334.33042
Borwein, Jonathan M.; Crandall, Richard E.
12
2013
Structure theory for maximally monotone operators with points of continuity. Zbl 1282.47067
Borwein, Jonathan M.; Yao, Liangjin
6
2013
Walking on real numbers. Zbl 1282.11088
Aragón Artacho, Francisco J.; Bailey, David H.; Borwein, Jonathan M.; Borwein, Peter B.
6
2013
Lattice sums arising from the Poisson equation. Zbl 1263.11074
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.; Zucker, I. J.
5
2013
Expectations on fractal sets. Zbl 1329.28015
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Rose, Michael G.
5
2013
The computation of previously inaccessible digits of \(\pi^2\) and Catalan’s constant. Zbl 1382.11097
Bailey, David H.; Borwein, Jonathan M.; Mattingly, Andrew; Wightwick, Glenn
4
2013
Variational methods in the presence of symmetry. Zbl 1277.49018
Borwein, Jonathan M.; Zhu, Qiji J.
3
2013
Recent results on Douglas-Rachford methods. Zbl 1324.90130
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K.
3
2013
Normal numbers and pseudorandom generators. Zbl 1310.11078
Bailey, David H.; Borwein, Jonathan M.
3
2013
Compressed lattice sums arising from the Poisson equation. Zbl 1294.11137
Bailey, David H.; Borwein, Jonathan M.
3
2013
Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator. Zbl 1297.47006
Borwein, Jonathan M.; Yao, Liangjin
2
2013
Mahler measures, short walks and log-sine integrals. Zbl 1297.11136
Borwein, Jonathan M.; Straub, Armin
2
2013
Monotone operators without enlargements. Zbl 1305.47034
Borwein, Jonathan M.; Burachik, Regina S.; Yao, Liangjin
1
2013
Computation of an improved lower bound to Giuga’s primality conjecture. Zbl 1284.11002
Borwein, Jonathan; Maitland, Christopher; Skerritt, Matthew
1
2013
Densities of short uniform random walks. Zbl 1296.33011
Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim
22
2012
High-precision computation: mathematical physics and dynamics. Zbl 1248.65147
Bailey, D. H.; Barrio, R.; Borwein, J. M.
15
2012
Copulas with maximum entropy. Zbl 1280.90093
Piantadosi, Julia; Howlett, Phil; Borwein, Jonathan
10
2012
An empirical approach to the normality of \(\pi\). Zbl 1281.11077
Bailey, David H.; Borwein, Jonathan M.; Calude, Cristian S.; Dinneen, Michael J.; Dumitrescu, Monica; Yee, Alex
9
2012
The Brezis-Browder theorem in a general Banach space. Zbl 1259.47065
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin
8
2012
Maximum entropy and feasibility methods for convex and nonconvex inverse problems. Zbl 1241.45009
Borwein, Jonathan M.
7
2012
Log-sine evaluations of Mahler measures. II. Zbl 1266.33022
Borwein, David; Borwein, Jonathan M.; Straub, Armin; Wan, James
6
2012
Nonnormality of Stoneham constants. Zbl 1336.11055
Bailey, David H.; Borwein, Jonathan M.
5
2012
Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type. Zbl 1319.90077
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin
5
2012
Log-sine evaluations of Mahler measures. Zbl 1277.33019
Borwein, Jonathan M.; Straub, Armin
4
2012
Constructions of uniformly convex functions. Zbl 1260.46009
Borwein, Jonathan M.; Vanderwerff, Jon
3
2012
Construction of pathological maximally monotone operators on non-reflexive Banach spaces. Zbl 1267.47003
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin
3
2012
An introduction to modern mathematical computing. With Mathematica. Zbl 1252.65001
Borwein, Jonathan M.; Skerritt, Matthew P.
3
2012
Maximum entropy methods for generating simulated rainfall. Zbl 1247.86005
Piantadosi, Julia; Howlett, Phil; Borwein, Jonathan; Henstridge, John
3
2012
Organic mathematics: Then and now. Zbl 1273.01065
Borwein, Jonathan M.; Jungić, Veselin
2
2012
A sinc that sank. Zbl 1270.33001
Borwein, David; Borwein, Jonathan M.; Straub, Armin
1
2012
Ancient Indian square roots: an exercise in forensic paleo-mathematics. Zbl 1264.01007
Bailey, David H.; Borwein, Jonathan M.
1
2012
The Douglas-Rachford algorithm in the absence of convexity. Zbl 1259.90098
Borwein, Jonathan M.; Sims, Brailey
24
2011
A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept. Zbl 1221.26019
Borwein, Jonathan M.; Reich, Simeon; Sabach, Shoham
22
2011
On difference convexity of locally Lipschitz functions. Zbl 1237.46007
Bačák, Miroslav; Borwein, Jonathan M.
20
2011
Some arithmetic properties of short random walk integrals. Zbl 1233.60024
Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James
18
2011
Special values of generalized log-sine integrals. Zbl 1323.68584
Borwein, Jonathan M.; Straub, Armin
12
2011
High-precision numerical integration: progress and challenges. Zbl 1291.65070
Bailey, D. H.; Borwein, J. M.
10
2011
Moments of Ramanujan’s generalized elliptic integrals and extensions of Catalan’s constant. Zbl 1228.11183
Borwein, D.; Borwein, J. M.; Glasser, M. L.; Wan, J. G.
9
2011
Entropic regularization of the \(\ell _{0}\) function. Zbl 1357.49115
Borwein, Jonathan M.; Luke, D. Russell
6
2011
Exploratory experimentation and computation. Zbl 1247.00010
Bailey, David H.; Borwein, Jonathan M.
2
2011
Duality and convex programming. Zbl 1259.49047
Borwein, Jonathan M.; Luke, D. Russell
1
2011
An introduction to modern mathematical computing. With Maple. Zbl 1228.65001
Borwein, Jonathan M.; Skerritt, Matthew P.
1
2011
Convex functions. Constructions, characterizations and counterexamples. Zbl 1191.26001
Borwein, Jonathan M.; Vanderwerff, Jon D.
93
2010
Fifty years of maximal monotonicity. Zbl 1214.47043
Borwein, Jonathan M.
40
2010
...and 316 more Documents
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Cited by 4,991 Authors

151 Borwein, Jonathan Michael
71 Bauschke, Heinz H.
62 Mordukhovich, Boris S.
54 Wang, Shawn Xianfu
44 Reich, Simeon
38 Yao, Jen-Chih
35 Chu, Yuming
34 Censor, Yair
32 Penot, Jean-Paul
29 Bailey, David Harold
29 Boţ, Radu Ioan
29 Combettes, Patrick L.
28 Beer, Gerald Alan
28 Dai, Yu-Hong
28 Théra, Michel A.
27 Jeyakumar, Vaithilingam
26 Thibault, Lionel
26 Xu, Ce
24 Cho, Yeol Je
24 Kruger, Alexander Ya.
24 Sofo, Anthony
24 Yao, Yonghong
23 Ioffe, Alexander Davidovich
23 Yang, Xinmin
22 Csetnek, Ernö Robert
22 Eie, Minking
22 Zaslavski, Alexander Yakovlevich
21 Yang, Xiaoqi
20 Iiduka, Hideaki
20 Lewis, Adrian S.
20 Li, Chong
20 Liou, Yeongcheng
20 Tam, Matthew K.
19 Kumam, Poom
19 Nam, Nguyen Mau
18 Kang, Shin Min
18 Zălinescu, Constantin
17 Wolkowicz, Henry
16 Cegielski, Andrzej
16 Chan, Heng Huat
16 Crandall, Richard E.
16 Gibali, Aviv
16 Hantoute, Abderrahim
16 He, Songnian
16 Luke, D. Russell
16 Phan, Hung M.
16 Raydan, Marcos
16 Sama, Miguel
16 Yao, Liangjin
16 Zudilin, Wadim
15 Aragón Artacho, Francisco Javier
15 Borwein, Peter Benjamin
15 Correa, Rafael
15 Deutsch, Frank
15 Dinh The Luc
15 Dong, Qiaoli
15 Flåm, Sjur Didrik
15 López-Cerdá, Marco Antonio
15 Qin, Xiaolong
15 Qiu, Songliang
14 Chu, Wenchang
14 Drusvyatskiy, Dmitriy
14 Fabian, Marián J.
14 Kohlenbach, Ulrich Wilhelm
14 Liu, Zexian
14 Moll, Victor Hugo
14 Moursi, Walaa M.
14 Tammer, Christiane
14 Xiao, Yunhai
14 Yamada, Isao
13 Cooper, Shaun
13 Dao, Minh Ngoc
13 Jourani, Abderrahim
13 Liu, Hongwei
13 Noll, Dominikus
13 Qi, Liqun
13 Soleimani-damaneh, Majid
13 Srivastava, Hari Mohan
13 Straub, Armin
13 Wang, Bingwu
13 Wen, Zaiwen
13 Yang, Zhenhang
13 Zhang, Hongchao
13 Zheng, Xiyin
12 Dang, Yazheng
12 Daniilidis, Aris
12 Hager, William W.
12 Huynh Van Ngai
12 Shehu, Yekini
12 Tagliani, Aldo
12 Wang, Miaokun
12 Nguyen Dong Yen
12 Zalas, Rafał
12 Zanni, Luca
12 Zegeye, Habtu
11 Borwein, David
11 Bradley, David M.
11 Hundal, Hein S.
11 Khan, Akhtar Ali
11 la Cruz, William
...and 4,891 more Authors
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Cited in 567 Serials

332 Journal of Optimization Theory and Applications
314 Journal of Mathematical Analysis and Applications
194 Optimization
173 Mathematical Programming. Series A. Series B
142 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
108 Set-Valued and Variational Analysis
104 SIAM Journal on Optimization
98 Journal of Global Optimization
98 The Ramanujan Journal
93 Proceedings of the American Mathematical Society
91 Applied Mathematics and Computation
86 Optimization Letters
84 Computational Optimization and Applications
81 Journal of Number Theory
72 Numerical Functional Analysis and Optimization
71 Journal of Computational and Applied Mathematics
71 Numerical Algorithms
67 Transactions of the American Mathematical Society
67 Fixed Point Theory and Applications
53 Optimization Methods & Software
52 Bulletin of the Australian Mathematical Society
52 Journal of Approximation Theory
51 Journal of Inequalities and Applications
48 Set-Valued Analysis
47 Nonlinear Analysis. Theory, Methods & Applications
46 Abstract and Applied Analysis
40 Mathematics of Computation
38 Linear Algebra and its Applications
36 Positivity
35 International Journal of Number Theory
30 Experimental Mathematics
29 Journal of Mathematical Physics
29 European Journal of Operational Research
28 Computers & Mathematics with Applications
25 Journal of Functional Analysis
23 Applied Mathematics and Optimization
23 Journal of the Australian Mathematical Society
23 Journal of Fixed Point Theory and Applications
22 Journal of Scientific Computing
22 Vietnam Journal of Mathematics
19 Israel Journal of Mathematics
19 Advances in Mathematics
19 Journal of Industrial and Management Optimization
18 Inverse Problems
18 Aequationes Mathematicae
17 Applied Mathematics Letters
17 Computational and Applied Mathematics
17 Journal of Convex Analysis
17 Integral Transforms and Special Functions
17 Acta Mathematica Sinica. English Series
17 SIAM Journal on Imaging Sciences
17 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
16 Rocky Mountain Journal of Mathematics
16 Mathematics of Operations Research
16 Mathematical Programming
16 Topology and its Applications
16 Journal of High Energy Physics
16 Journal of Applied Mathematics
15 Journal of Computational Physics
15 Theoretical Computer Science
15 Journal of Mathematical Sciences (New York)
15 Mathematical Problems in Engineering
14 Applicable Analysis
14 International Journal of Computer Mathematics
14 Foundations of Computational Mathematics
13 Advances in Applied Mathematics
13 Mathematical and Computer Modelling
13 SIAM Journal on Scientific Computing
12 Mathematical Notes
12 Archiv der Mathematik
12 Numerische Mathematik
12 Mathematical Methods of Operations Research
12 Inverse Problems in Science and Engineering
11 SIAM Journal on Numerical Analysis
11 Applied Numerical Mathematics
11 Advances in Computational Mathematics
11 Journal of Machine Learning Research (JMLR)
11 Journal of Nonlinear Science and Applications
10 Functiones et Approximatio. Commentarii Mathematici
10 Results in Mathematics
10 Operations Research Letters
10 Acta Mathematica Hungarica
10 Annals of Operations Research
10 Journal of Mathematical Imaging and Vision
10 Top
10 Integers
10 Science China. Mathematics
9 Journal of Statistical Physics
9 Nuclear Physics. B
9 The Mathematical Intelligencer
9 Journal of Algebra
9 Mathematische Zeitschrift
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Central European Journal of Mathematics
9 Mediterranean Journal of Mathematics
9 Journal of Classical Analysis
8 American Mathematical Monthly
8 Discrete Mathematics
8 Acta Mathematica Vietnamica
8 Manuscripta Mathematica
...and 467 more Serials
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Cited in 62 Fields

2,026 Operations research, mathematical programming (90-XX)
1,235 Calculus of variations and optimal control; optimization (49-XX)
1,005 Numerical analysis (65-XX)
829 Operator theory (47-XX)
735 Number theory (11-XX)
489 Functional analysis (46-XX)
437 Special functions (33-XX)
343 Real functions (26-XX)
202 General topology (54-XX)
197 Convex and discrete geometry (52-XX)
190 Combinatorics (05-XX)
186 Computer science (68-XX)
182 Approximations and expansions (41-XX)
151 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
147 Global analysis, analysis on manifolds (58-XX)
131 Statistics (62-XX)
119 Probability theory and stochastic processes (60-XX)
119 Information and communication theory, circuits (94-XX)
104 Linear and multilinear algebra; matrix theory (15-XX)
102 Sequences, series, summability (40-XX)
101 Partial differential equations (35-XX)
83 Quantum theory (81-XX)
68 Systems theory; control (93-XX)
65 Ordinary differential equations (34-XX)
62 Dynamical systems and ergodic theory (37-XX)
53 Statistical mechanics, structure of matter (82-XX)
51 Functions of a complex variable (30-XX)
48 Biology and other natural sciences (92-XX)
46 Algebraic geometry (14-XX)
45 Difference and functional equations (39-XX)
44 Measure and integration (28-XX)
42 Harmonic analysis on Euclidean spaces (42-XX)
38 Mechanics of deformable solids (74-XX)
35 Mathematical logic and foundations (03-XX)
34 Integral transforms, operational calculus (44-XX)
30 Differential geometry (53-XX)
21 General and overarching topics; collections (00-XX)
20 History and biography (01-XX)
19 Fluid mechanics (76-XX)
17 Order, lattices, ordered algebraic structures (06-XX)
15 Geometry (51-XX)
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14 Integral equations (45-XX)
13 Associative rings and algebras (16-XX)
13 Optics, electromagnetic theory (78-XX)
12 Nonassociative rings and algebras (17-XX)
9 Mechanics of particles and systems (70-XX)
9 Geophysics (86-XX)
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7 Field theory and polynomials (12-XX)
7 Potential theory (31-XX)
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6 Mathematics education (97-XX)
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4 \(K\)-theory (19-XX)
3 Topological groups, Lie groups (22-XX)
2 Algebraic topology (55-XX)
2 Astronomy and astrophysics (85-XX)

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