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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.
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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, David 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 Arzarello, Ferdinando
1 Baake, Michael
1 Baillie, Robert
1 Bartolini Bussi, Maria Giuseppina
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
...and 86 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 Notices of the American Mathematical Society
10 Set-Valued Analysis
10 The Ramanujan Journal
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 13 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)
37 General and overarching topics; collections (00-XX)
32 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)
8 Mathematics education (97-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)
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

419 Publications have been cited 8,370 times in 5,424 Documents Cited by Year
On projection algorithms for solving convex feasibility problems. Zbl 0865.47039
Bauschke, Heinz H.; Borwein, Jonathan M.
656
1996
Two-point step size gradient methods. Zbl 0638.65055
Barzilai, Jonathan; Borwein, Jonathan M.
605
1988
Techniques of variational analysis. Zbl 1076.49001
Borwein, Jonathan M.; Zhu, Qiji J.
218
2005
Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0611.10001
Borwein, Jonathan M.; Borwein, Peter B.
203
1987
Proper efficient points for maximizations with respect to cones. Zbl 0369.90096
Borwein, J.
177
1977
Convex analysis and nonlinear optimization. Theory and examples. 2nd ed. Zbl 1116.90001
Borwein, Jonathan M.; Lewis, Adrian S.
136
2006
Partially finite convex programming. I: Quasi relative interiors and duality theory. Zbl 0778.90049
Borwein, J. M.; Lewis, A. S.
135
1992
Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces. Zbl 1032.49025
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
131
2001
Super efficiency in vector optimization. Zbl 0796.90045
Borwein, J. M.; Zhuang, D.
122
1993
Special values of multiple polylogarithms. Zbl 1002.11093
Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr
120
2001
Convex analysis and nonlinear optimization. Theory and examples. Zbl 0953.90001
Borwein, Jonathan M.; Lewis, Adrian S.
116
2000
Bregman monotone optimization algorithms. Zbl 1049.90053
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
104
2003
Convex functions. Constructions, characterizations and counterexamples. Zbl 1191.26001
Borwein, Jonathan M.; Vanderwerff, Jon D.
104
2010
On the convergence of von Neumann’s alternating projection algorithm for two sets. Zbl 0801.47042
Bauschke, H. H.; Borwein, J. M.
102
1993
Explicit evaluation of Euler sums. Zbl 0819.40003
Borwein, David; Borwein, Jonathan M.; Girgensohn, Roland
100
1995
A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions. Zbl 0632.49008
Borwein, J. M.; Preiss, D.
99
1987
Legendre functions and the method of random Bregman projections. Zbl 0894.49019
Bauschke, Heinz G.; Borwein, Jonathan M.
97
1997
A cubic counterpart of Jacobi’s identity and the AGM. Zbl 0725.33014
Borwein, J. M.; Borwein, P. B.
91
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
86
1999
Stability and regular points of inequality systems. Zbl 0557.49020
Borwein, J. M.
83
1986
Ramanujan’s rational and algebraic series for \(1/\pi\). Zbl 0699.10044
Borwein, J. M.; Borwein, P. B.
76
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.
69
1997
On the existence of Pareto efficient points. Zbl 0508.90080
Borwein, Jonathan M.
67
1983
Cubic analogues of the Jacobian theta function \(\theta(z,q)\). Zbl 0797.33012
Hirschhorn, Michael; Garvan, Frank; Borwein, Jon
66
1993
Experimental evaluation of Euler sums. Zbl 0810.11076
Bailey, David H.; Borwein, Jonathan M.; Girgensohn, Roland
66
1994
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.
64
1988
The method of cyclic projections for closed convex sets in Hilbert space. Zbl 0874.47029
Bauschke, Heinz H.; Borwein, Jonathan M.; Lewis, Adrian S.
59
1997
Multivalued convexity and optimization: A unified approach to inequality and equality constraints. Zbl 0375.90062
Borwein, J.
57
1977
The geometry of Pareto efficiency over cones. Zbl 0447.90077
Borwein, J. M.
56
1980
Some cubic modular identities of Ramanujan. Zbl 0799.33012
Borwein, J. M.; Borwein, P. B.; Garvan, F. G.
55
1994
Dykstra’s alternating projection algorithm for two sets. Zbl 0833.46011
Bauschke, H. H.; Borwein, J. M.
55
1994
Convergence of best entropy estimates. Zbl 0756.41037
Borwein, J. M.; Lewis, A. S.
55
1991
Continuity and differentiability properties of convex operators. Zbl 0487.46026
Borwein, J. M.
52
1982
Tangential approximations. Zbl 0613.49016
Borwein, J. M.; Strojwas, H. M.
51
1985
Duality relationships for entropy-like minimization problems. Zbl 0797.49030
Borwein, J. M.; Lewis, A. S.
51
1991
Regularizing the abstract convex program. Zbl 0467.90076
Borwein, Jon; Wolkowicz, Henry
51
1981
Existence of nearest points in Banach spaces. Zbl 0668.46006
Borwein, Jonathan M.; Fitzpatrick, Simon
50
1989
Computational strategies for the Riemann zeta function. Zbl 0972.11077
Borwein, Jonathan M.; Bradley, David M.; Crandall, Richard E.
48
2000
Maximal monotonicity via convex analysis. Zbl 1111.47042
Borwein, Jonathan M.
47
2006
Notions of relative interior in Banach spaces. Zbl 1136.49307
Borwein, J.; Goebel, R.
45
2003
Experimentation in mathematics. Computational paths to discovery. Zbl 1083.00002
Borwein, Jonathan; Bailey, David; Girgensohn, Roland
44
2004
A survey of subdifferential calculus with applications. Zbl 0933.49006
Borwein, Jonathan M.; Zhu, Qiji J.
44
1999
Krasnoselski-Mann iterations in normed spaces. Zbl 0712.47050
Borwein, Jonathan; Reich, Simeon; Shafrir, Itai
44
1992
Elliptic integral evaluations of Bessel moments and applications. Zbl 1152.33003
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Glasser, M. L.
41
2008
Proximal analysis and boundaries of closed sets in Banach space. I: Theory. Zbl 0577.46011
Borwein, J. M.; Strojwas, H. M.
41
1986
The evaluation of character Euler double sums. Zbl 1241.11108
Borwein, J. M.; Zucker, I. J.; Boersma, J.
40
2008
Fifty years of maximal monotonicity. Zbl 1214.47043
Borwein, Jonathan M.
40
2010
Mathematics by experiment. Plausible reasoning in the 21st century. 2nd revised and updated ed. Zbl 1163.00002
Borwein, Jonathan; Bailey, David
40
2008
On an intriguing integral and some series related to \(\zeta (4)\). Zbl 0840.11036
Borwein, David; Borwein, Jonathan M.
38
1995
A Lagrange multiplier theorem and a sandwich theorem for convex relations. Zbl 0468.49007
Borwein, J. M.
36
1981
The proximal normal formula in Banach space. Zbl 0632.49007
Borwein, J. M.; Giles, J. R.
35
1987
Recent results on Douglas-Rachford methods for combinatorial optimization problems. Zbl 1305.90341
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K.
35
2014
Nonsmooth calculus in finite dimensions. Zbl 0633.46043
Ward, D. E.; Borwein, J. M.
34
1987
The differentiability of real functions on normed linear space using generalized subgradients. Zbl 0644.46032
Borwein, J. M.; Fitzpatrick, S. P.; Giles, J. R.
34
1987
Combinatorial aspects of multiple zeta values. Zbl 0904.05012
Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr
34
1998
A note on epsilon-subgradients and maximal monotonicity. Zbl 0525.49010
Borwein, J. M.
34
1982
Facial reduction for a cone-convex programming problem. Zbl 0464.90086
Borwein, Jon M.; Wolkowicz, Henry
34
1981
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.
32
1989
Essentially smooth Lipschitz functions. Zbl 0896.49007
Borwein, Jonathan M.; Moors, Warren B.
32
1997
A cyclic Douglas-Rachford iteration scheme. Zbl 1305.90407
Borwein, Jonathan M.; Tam, Matthew K.
32
2014
Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity. Zbl 0882.49020
Borwein, Jonathan M.; Zhu, Qiji J.
31
1996
Evaluation of triple Euler sums. Zbl 0884.40005
Borwein, Jonathan M.; Girgensohn, Roland
31
1996
Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0903.11001
Borwein, Jonathan M.; Borwein, Peter B.
31
1998
The arithmetic-geometric mean and fast computation of elementary functions. Zbl 0557.65009
Borwein, J. M.; Borwein, P. B.
31
1984
Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative. Zbl 1119.47050
Bartz, Sedi; Bauschke, Heinz H.; Borwein, Jonathan M.; Reich, Simeon; Wang, Xianfu
31
2007
Global convergence of a non-convex Douglas-Rachford iteration. Zbl 1286.90114
Aragón Artacho, Francisco J.; Borwein, Jonathan M.
31
2013
Adjoint process duality. Zbl 0534.49015
Borwein, J. M.
29
1983
Convergence rate analysis for averaged fixed point iterations in common fixed point problems. Zbl 1361.90045
Borwein, Jonathan M.; Li, Guoyin; Tam, Matthew K.
28
2017
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.
28
1991
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
28
2014
Mosco convergence and the Kadec property. Zbl 0672.46007
Borwein, Jonathan M.; Fitzpatrick, Simon
27
1989
A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept. Zbl 1221.26019
Borwein, Jonathan M.; Reich, Simeon; Sabach, Shoham
27
2011
Douglas-Rachford feasibility methods for matrix completion problems. Zbl 1297.90182
Artacho, Francisco J. Aragón; Borwein, Jonathan M.; Tam, Matthew K.
27
2014
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.
27
2013
Characterizations of optimality without constraint qualification for the abstract convex program. Zbl 0495.90085
Borwein, J. M.; Wolkowicz, H.
26
1982
The Douglas-Rachford algorithm in the absence of convexity. Zbl 1259.90098
Borwein, Jonathan M.; Sims, Brailey
26
2011
Epi-Lipschitz-like sets in Banach space: Theorems and examples. Zbl 0639.49014
Borwein, Jonathan Michael
25
1987
Central binomial sums, multiple Clausen values, and zeta values. Zbl 0998.11045
Borwein, Jonathan Michael; Broadhurst, David J.; Kamnitzer, Joel
25
2001
Maximality of sums of two maximal monotone operators in general Banach space. Zbl 1130.47031
Borwein, Jonathan M.
25
2007
Fixed point iterations for real functions. Zbl 0742.26006
Borwein, David; Borwein, Jonathan
25
1991
On difference convexity of locally Lipschitz functions. Zbl 1237.46007
Bačák, Miroslav; Borwein, Jonathan M.
25
2011
Densities of short uniform random walks. Zbl 1296.33011
Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim
25
2012
Experimental mathematics in action. Zbl 1127.00002
Bailey, David H.; Borwein, Jonathan M.; Calkin, Neil J.; Girgensohn, Roland; Luke, D. Russell; Moll, Victor H.
24
2007
Proximal analysis and boundaries of closed sets in Banach space. II: applications. Zbl 0621.46019
Borwein, J. M.; Strojwas, H. M.
24
1987
Second order differentiability of convex functions in Banach spaces. Zbl 0802.46027
Borwein, Jonathan M.; Noll, Dominikus
24
1994
Conjugate convex operators. Zbl 0588.46027
Borwein, J. M.; Penot, J. P.; Thera, M.
24
1984
Thirty-two Goldbach variations. Zbl 1094.11031
Borwein, Jonathan M.; Bradley, David M.
24
2006
Partially finite convex programming. II: Explicit lattice models. Zbl 0778.90050
Borwein, J. M.; Lewis, A. S.
23
1992
Entropy minimization, \(DAD\) problems, and doubly stochastic kernels. Zbl 0815.15021
Borwein, J. M.; Lewis, A. S.; Nussbaum, R. D.
23
1994
Mosco convergence and reflexivity. Zbl 0763.46006
Beer, Gerald; Borwein, Jonathan M.
23
1990
Fitzpatrick functions and continuous linear monotone operators. Zbl 1157.47034
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu
22
2007
Inequalities for compound mean iterations with logarithmic asymptotes. Zbl 0783.33001
Borwein, Jonathan M.; Borwein, Peter B.
22
1993
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.
22
2016
Bounded linear regularity, strong CHIP, and CHIP are distinct properties. Zbl 0964.90032
Bauschke, Heinz H.; Borwein, Jonathan M.; Tseng, Paul
21
2000
Compactly epi-Lipschitzian convex sets and functions in normed spaces. Zbl 0989.49018
Borwein, Jonathan; Lucet, Yves; Mordukhovich, Boris
20
2000
On the convergence of moment problems. Zbl 0741.41021
Borwein, J. M.; Lewis, A. S.
20
1991
Parametric Euler sum identities. Zbl 1102.11049
Borwein, David; Borwein, Jonathan M.; Bradley, David M.
20
2006
Non-expansive mappings on Banach lattices and related topics. Zbl 0584.47055
Borwein, Jon. M.; Sims, Brailey
19
1984
Partially-finite programming in \(L_ 1\) and the existence of maximum entropy estimates. Zbl 0780.49015
Borwein, J. M.; Lewis, A. S.
19
1993
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.
6
2018
Derivatives and fast evaluation of the Tornheim zeta function. Zbl 1433.11106
Borwein, Jonathan M.; Dilcher, Karl
6
2018
Computation and experimental evaluation of Mordell-Tornheim-Witten sum derivatives. Zbl 1450.11124
Bailey, David H.; Borwein, J. M.
4
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.
28
2017
Reflection methods for inverse problems with applications to protein conformation determination. Zbl 1403.49012
Borwein, Jonathan M.; Tam, Matthew K.
4
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
3
2017
Computer discovery and analysis of large Poisson polynomials. Zbl 1426.11134
Bailey, David H.; Borwein, Jonathan M.; Kimberley, Jason S.; Ladd, Watson
3
2017
Generalized continued logarithms and related continued fractions. Zbl 1422.11153
Borwein, Jonathan M.; Hare, Kevin G.; Lynch, Jason G.
2
2017
Continued logarithms and associated continued fractions. Zbl 1422.11152
Borwein, Jonathan M.; Calkin, Neil J.; Lindstrom, Scott B.; Mattingly, Andrew
1
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
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.
22
2016
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums. Zbl 1331.11065
Bailey, D. H.; Borwein, J. M.
10
2016
Densities of short uniform random walks in higher dimensions. Zbl 1333.60086
Borwein, Jonathan M.; Straub, Armin; Vignat, Christophe
6
2016
Meetings with Lambert \(\mathcal W\) and other special functions in optimization and analysis. Zbl 1349.90674
Borwein, Jonathan M.; Lindstrom, Scott B.
5
2016
Maximal monotone inclusions and Fitzpatrick functions. Zbl 1354.90135
Borwein, J. M.; Dutta, J.
5
2016
A closed form for the density functions of random walks in odd dimensions. Zbl 1347.60049
Borwein, Jonathan M.; Sinnamon, Corwin W.
4
2016
A very complicated proof of the minimax theorem. Zbl 1337.46049
Borwein, Jonathan
4
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 variational approach to Lagrange multipliers. Zbl 1354.90091
Borwein, Jonathan M.; Zhu, Qiji J.
2
2016
Experimental mathematics in the society of the future. Zbl 1353.01023
Bailey, David H.; Borwein, Jonathan M.
1
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.
19
2015
On Eulerian log-gamma integrals and Tornheim-Witten zeta functions. Zbl 1382.11068
Bailey, David H.; Borwein, David; Borwein, Jonathan M.
9
2015
Norm convergence of realistic projection and reflection methods. Zbl 1440.47050
Borwein, Jonathan M.; Sims, Brailey; Tam, Matthew K.
8
2015
Computation and theory of Mordell-Tornheim-Witten sums. II. Zbl 1326.11050
Bailey, D. H.; Borwein, J. M.
5
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.
3
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.
3
2015
High-precision arithmetic in mathematical physics. Zbl 1318.65025
Bailey, David H.; Borwein, Jonathan M.
3
2015
Duality and convex programming. 2nd edition. Zbl 1331.49041
Borwein, Jonathan M.; Luke, D. Russell
2
2015
Relations for Nielsen polylogarithms. Zbl 1315.33006
Borwein, Jonathan M.; Straub, Armin
1
2015
Recent progress on monotone operator theory. Zbl 1328.47054
Borwein, Jonathan M.; Yao, Liangjin
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.
35
2014
A cyclic Douglas-Rachford iteration scheme. Zbl 1305.90407
Borwein, Jonathan M.; Tam, Matthew K.
32
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
28
2014
Douglas-Rachford feasibility methods for matrix completion problems. Zbl 1297.90182
Artacho, Francisco J. Aragón; Borwein, Jonathan M.; Tam, Matthew K.
27
2014
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
19
2014
Computation and theory of extended Mordell-Tornheim-Witten sums. Zbl 1296.33004
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
16
2014
Conditions for zero duality gap in convex programming. Zbl 1301.49035
Borwein, Jonathan M.; Burachik, Regina S.; Yao, Liangjin
8
2014
On lattice sums and Wigner limits. Zbl 1369.11046
Borwein, David; Borwein, Jonathan M.; Straub, Armin
6
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
5
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
Sum theorems for maximally monotone operators of type (FPV). Zbl 1303.47071
Borwein, Jonathan M.; Yao, Liangjin
3
2014
Legendre-type integrands and convex integral functions. Zbl 1301.46042
Borwein, Jonathan M.; Yao, Liangjin
3
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
2
2014
On the solution of linear mean recurrences. Zbl 1303.39002
Borwein, David; Borwein, Jonathan M.; Sims, Brailey
2
2014
The life of \(\pi\): from Archimedes to ENIAC and beyond. Zbl 1284.01010
Borwein, Jonathan M.
1
2014
Automated simplification of large symbolic expressions. Zbl 1310.68259
Bailey, David H.; Borwein, Jonathan M.; Kaiser, Alexander D.
1
2014
Global convergence of a non-convex Douglas-Rachford iteration. Zbl 1286.90114
Aragón Artacho, Francisco J.; Borwein, Jonathan M.
31
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.
27
2013
Three-step and four-step random walk integrals. Zbl 1268.33005
Borwein, Jonathan M.; Straub, Armin; Wan, James
15
2013
Closed forms: what they are and why we care. Zbl 1334.33042
Borwein, Jonathan M.; Crandall, Richard E.
15
2013
Lattice sums arising from the Poisson equation. Zbl 1263.11074
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.; Zucker, I. J.
7
2013
Structure theory for maximally monotone operators with points of continuity. Zbl 1282.47067
Borwein, Jonathan M.; Yao, Liangjin
7
2013
Walking on real numbers. Zbl 1282.11088
Aragón Artacho, Francisco J.; Bailey, David H.; Borwein, Jonathan M.; Borwein, Peter B.
6
2013
Expectations on fractal sets. Zbl 1329.28015
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Rose, Michael G.
5
2013
Mahler measures, short walks and log-sine integrals. Zbl 1297.11136
Borwein, Jonathan M.; Straub, Armin
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
Recent results on Douglas-Rachford methods. Zbl 1324.90130
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K.
4
2013
Compressed lattice sums arising from the Poisson equation. Zbl 1294.11137
Bailey, David H.; Borwein, Jonathan M.
4
2013
Normal numbers and pseudorandom generators. Zbl 1310.11078
Bailey, David H.; Borwein, Jonathan M.
3
2013
Variational methods in the presence of symmetry. Zbl 1277.49018
Borwein, Jonathan M.; Zhu, Qiji J.
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
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
25
2012
High-precision computation: mathematical physics and dynamics. Zbl 1248.65147
Bailey, D. H.; Barrio, R.; Borwein, J. M.
17
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
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
Nonnormality of Stoneham constants. Zbl 1336.11055
Bailey, David H.; Borwein, Jonathan M.
5
2012
An introduction to modern mathematical computing. With Mathematica. Zbl 1252.65001
Borwein, Jonathan M.; Skerritt, Matthew P.
4
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
4
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
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
Exploratory experimentation: digitally-assisted discovery and proof. Zbl 1259.97011
Borwein, Jonathan Michael
1
2012
Experimental approaches to theoretical thinking: artefacts and proofs. With a response by Jonathan M. Borwein and Judy-anne Osborn. Zbl 1247.97006
Arzarello, Ferdinando; Bartolini Bussi, Maria Giuseppina; Leung, Allen Yuk Lun; Mariotti, Maria Alessandra; Stevenson, Ian
1
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
A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept. Zbl 1221.26019
Borwein, Jonathan M.; Reich, Simeon; Sabach, Shoham
27
2011
The Douglas-Rachford algorithm in the absence of convexity. Zbl 1259.90098
Borwein, Jonathan M.; Sims, Brailey
26
2011
On difference convexity of locally Lipschitz functions. Zbl 1237.46007
Bačák, Miroslav; Borwein, Jonathan M.
25
2011
Some arithmetic properties of short random walk integrals. Zbl 1233.60024
Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James
19
2011
Special values of generalized log-sine integrals. Zbl 1323.68584
Borwein, Jonathan M.; Straub, Armin
14
2011
High-precision numerical integration: progress and challenges. Zbl 1291.65070
Bailey, D. H.; Borwein, J. M.
11
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.
3
2011
An introduction to modern mathematical computing. With Maple. Zbl 1228.65001
Borwein, Jonathan M.; Skerritt, Matthew P.
1
2011
...and 319 more Documents
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Cited by 5,380 Authors

153 Borwein, Jonathan Michael
73 Bauschke, Heinz H.
65 Mordukhovich, Boris S.
56 Wang, Shawn Xianfu
48 Reich, Simeon
42 Chu, Yuming
40 Thibault, Lionel
40 Yao, Jen-Chih
36 Censor, Yair
32 Penot, Jean-Paul
31 Bailey, David Harold
31 Dai, Yu-Hong
30 Combettes, Patrick L.
29 Boţ, Radu Ioan
29 Théra, Michel A.
28 Beer, Gerald Alan
28 Xu, Ce
27 Jeyakumar, Vaithilingam
27 Kruger, Alexander Ya.
27 Sofo, Anthony
25 Cho, Yeol Je
24 Yao, Yonghong
23 Ioffe, Alexander Davidovich
23 Jourani, Abderrahim
23 Yang, Xinmin
23 Zaslavski, Alexander Yakovlevich
22 Csetnek, Ernö Robert
22 Eie, Minking
21 Iiduka, Hideaki
21 Kumam, Poom
21 Yang, Xiaoqi
20 Lewis, Adrian S.
20 Li, Chong
20 Liou, Yeongcheng
20 Nam, Nguyen Mau
20 Tam, Matthew K.
18 Cegielski, Andrzej
18 Kang, Shin Min
18 Wolkowicz, Henry
18 Zălinescu, Constantin
17 Chan, Heng Huat
17 Gibali, Aviv
17 Hantoute, Abderrahim
17 He, Songnian
17 Luke, David Russell
17 Phan, Hung M.
17 Raydan, Marcos
16 Correa, Rafael
16 Crandall, Richard E.
16 Dong, Qiaoli
16 Qin, Xiaolong
16 Sama, Miguel
16 Wang, Miaokun
16 Yao, Liangjin
16 Zudilin, Wadim
15 Aragón Artacho, Francisco Javier
15 Borwein, Peter Benjamin
15 Chu, Wenchang
15 Deutsch, Frank
15 Dinh The Luc
15 Drusvyatskiy, Dmitriy
15 Flåm, Sjur Didrik
15 Kohlenbach, Ulrich Wilhelm
15 Liu, Zexian
15 López-Cerdá, Marco Antonio
15 Moursi, Walaa M.
15 Qiu, Songliang
15 Tammer, Christiane
15 Yang, Zhenhang
15 Zhang, Hongchao
14 Dao, Minh Ngoc
14 Fabian, Marián J.
14 Huang, Yakui
14 Moll, Victor Hugo
14 Noll, Dominikus
14 Soleimani-damaneh, Majid
14 Straub, Armin
14 Xiao, Yunhai
14 Yamada, Isao
14 Nguyen Dong Yen
14 Zalas, Rafał
14 Zegeye, Habtu
13 Cooper, Shaun
13 Daniilidis, Aris
13 Huynh Van Ngai
13 Liu, Hongwei
13 Qi, Liqun
13 Srivastava, Hari Mohan
13 Wang, Bingwu
13 Wen, Zaiwen
13 Zheng, Xiyin
12 Cholamjiak, Prasit
12 Dang, Yazheng
12 Flores-Bazán, Fabián
12 Hager, William W.
12 la Cruz, William
12 Naraghirad, Eskandar
12 Pérez-Aros, Pedro
12 Shehu, Yekini
12 Tagliani, Aldo
...and 5,280 more Authors
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Cited in 598 Serials

342 Journal of Optimization Theory and Applications
316 Journal of Mathematical Analysis and Applications
202 Optimization
176 Mathematical Programming. Series A. Series B
142 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
112 Set-Valued and Variational Analysis
109 SIAM Journal on Optimization
106 Journal of Global Optimization
104 The Ramanujan Journal
96 Applied Mathematics and Computation
95 Proceedings of the American Mathematical Society
93 Computational Optimization and Applications
87 Optimization Letters
81 Journal of Number Theory
80 Numerical Functional Analysis and Optimization
75 Journal of Computational and Applied Mathematics
73 Numerical Algorithms
70 Journal of Inequalities and Applications
68 Transactions of the American Mathematical Society
67 Fixed Point Theory and Applications
53 Bulletin of the Australian Mathematical Society
53 Journal of Approximation Theory
53 Optimization Methods & Software
48 Set-Valued Analysis
47 Nonlinear Analysis. Theory, Methods & Applications
45 Abstract and Applied Analysis
40 Mathematics of Computation
38 Linear Algebra and its Applications
38 Positivity
35 Journal of Convex Analysis
35 International Journal of Number Theory
32 European Journal of Operational Research
30 Experimental Mathematics
29 Journal of Mathematical Physics
28 Computers & Mathematics with Applications
25 Journal of Functional Analysis
25 Journal of Scientific Computing
25 Journal of Fixed Point Theory and Applications
24 Applied Mathematics and Optimization
24 Computational and Applied Mathematics
23 Journal of the Australian Mathematical Society
22 International Journal of Computer Mathematics
22 Vietnam Journal of Mathematics
22 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
21 Journal of Industrial and Management Optimization
21 SIAM Journal on Imaging Sciences
20 Inverse Problems
20 Advances in Mathematics
20 Aequationes Mathematicae
19 Israel Journal of Mathematics
19 Integral Transforms and Special Functions
17 Journal of Computational Physics
17 Mathematics of Operations Research
17 Applied Mathematics Letters
17 Acta Mathematica Sinica. English Series
17 Journal of High Energy Physics
16 Applicable Analysis
16 Rocky Mountain Journal of Mathematics
16 Mathematical Programming
16 Topology and its Applications
16 Journal of Applied Mathematics
15 Theoretical Computer Science
15 Journal of Mathematical Sciences (New York)
15 Mathematical Problems in Engineering
15 Foundations of Computational Mathematics
14 American Mathematical Monthly
14 Numerische Mathematik
14 SIAM Journal on Scientific Computing
14 Thai Journal of Mathematics
13 Advances in Applied Mathematics
13 Operations Research Letters
13 Acta Mathematica Hungarica
13 Mathematical and Computer Modelling
13 Mathematical Methods of Operations Research
12 Mathematical Notes
12 Archiv der Mathematik
12 Rendiconti del Circolo Matemàtico di Palermo. Serie II
12 Journal of Machine Learning Research (JMLR)
12 Inverse Problems in Science and Engineering
11 Results in Mathematics
11 SIAM Journal on Numerical Analysis
11 Applied Numerical Mathematics
11 Annals of Operations Research
11 Advances in Computational Mathematics
11 Integers
11 Mediterranean Journal of Mathematics
11 Journal of Nonlinear Science and Applications
10 Functiones et Approximatio. Commentarii Mathematici
10 Mathematische Zeitschrift
10 Journal of Mathematical Imaging and Vision
10 Top
10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
10 Science China. Mathematics
10 Numerical Algebra, Control and Optimization
10 Journal of Classical Analysis
9 Journal of Statistical Physics
9 Nuclear Physics. B
9 The Mathematical Intelligencer
9 Acta Mathematica Vietnamica
9 Journal of Algebra
...and 498 more Serials
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Cited in 62 Fields

2,170 Operations research, mathematical programming (90-XX)
1,298 Calculus of variations and optimal control; optimization (49-XX)
1,091 Numerical analysis (65-XX)
896 Operator theory (47-XX)
780 Number theory (11-XX)
506 Functional analysis (46-XX)
477 Special functions (33-XX)
378 Real functions (26-XX)
216 General topology (54-XX)
211 Convex and discrete geometry (52-XX)
204 Combinatorics (05-XX)
201 Computer science (68-XX)
192 Approximations and expansions (41-XX)
166 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
153 Statistics (62-XX)
149 Global analysis, analysis on manifolds (58-XX)
132 Probability theory and stochastic processes (60-XX)
127 Information and communication theory, circuits (94-XX)
112 Partial differential equations (35-XX)
110 Linear and multilinear algebra; matrix theory (15-XX)
106 Sequences, series, summability (40-XX)
89 Quantum theory (81-XX)
78 Systems theory; control (93-XX)
76 Ordinary differential equations (34-XX)
70 Dynamical systems and ergodic theory (37-XX)
54 Functions of a complex variable (30-XX)
53 Statistical mechanics, structure of matter (82-XX)
50 Measure and integration (28-XX)
50 Difference and functional equations (39-XX)
50 Biology and other natural sciences (92-XX)
49 Algebraic geometry (14-XX)
47 Harmonic analysis on Euclidean spaces (42-XX)
40 Mechanics of deformable solids (74-XX)
38 Mathematical logic and foundations (03-XX)
34 Integral transforms, operational calculus (44-XX)
34 Differential geometry (53-XX)
25 General and overarching topics; collections (00-XX)
22 History and biography (01-XX)
21 Fluid mechanics (76-XX)
18 Order, lattices, ordered algebraic structures (06-XX)
16 Optics, electromagnetic theory (78-XX)
15 Several complex variables and analytic spaces (32-XX)
15 Integral equations (45-XX)
15 Geometry (51-XX)
14 Associative rings and algebras (16-XX)
13 Nonassociative rings and algebras (17-XX)
10 Geophysics (86-XX)
10 Mathematics education (97-XX)
9 Potential theory (31-XX)
9 Mechanics of particles and systems (70-XX)
9 Relativity and gravitational theory (83-XX)
8 Field theory and polynomials (12-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Group theory and generalizations (20-XX)
6 Manifolds and cell complexes (57-XX)
5 Abstract harmonic analysis (43-XX)
4 Commutative algebra (13-XX)
4 Category theory; homological algebra (18-XX)
4 \(K\)-theory (19-XX)
4 Topological groups, Lie groups (22-XX)
3 Astronomy and astrophysics (85-XX)
2 Algebraic topology (55-XX)

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