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Borwein, Jonathan Michael (b. 1951 d. 2016)

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

70 single-authored
53 Bailey, David Harold
39 Borwein, Peter Benjamin
33 Borwein, David
21 Lewis, Adrian S.
21 Vanderwerff, Jon D.
21 Wang, Shawn Xianfu
19 Bauschke, Heinz H.
17 Crandall, Richard E.
16 Girgensohn, Roland
15 Yao, Liangjin
15 Zhu, Qiji Jim
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 Broadhurst, David John
7 Wan, James Gu Feng
6 Luke, 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 Fabian, Marián J.
3 Giles, John R.
3 Glasser, M. Lawrence
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 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 Sagastizábal, Claudia A.
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.
...and 89 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 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
1 Operations-Research-Verfahren
...and 12 more Serials
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Fields

128 Operations research, mathematical programming (90-XX)
127 Calculus of variations and optimal control; optimization (49-XX)
121 Number theory (11-XX)
111 Functional analysis (46-XX)
70 Special functions (33-XX)
63 Operator theory (47-XX)
58 Numerical analysis (65-XX)
47 Convex and discrete geometry (52-XX)
42 Real functions (26-XX)
38 General and overarching topics; collections (00-XX)
33 History and biography (01-XX)
32 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 Mathematical logic and foundations (03-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 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

423 Publications have been cited 10,741 times in 7,029 Documents Cited by Year
Two-point step size gradient methods. Zbl 0638.65055
Barzilai, Jonathan; Borwein, Jonathan M.
835
1988
On projection algorithms for solving convex feasibility problems. Zbl 0865.47039
Bauschke, Heinz H.; Borwein, Jonathan M.
788
1996
Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0611.10001
Borwein, Jonathan M.; Borwein, Peter B.
321
1987
Techniques of variational analysis. Zbl 1076.49001
Borwein, Jonathan M.; Zhu, Qiji J.
310
2005
Convex analysis and nonlinear optimization. Theory and examples. 2nd ed. Zbl 1116.90001
Borwein, Jonathan M.; Lewis, Adrian S.
218
2006
Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces. Zbl 1032.49025
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
201
2001
Proper efficient points for maximizations with respect to cones. Zbl 0369.90096
Borwein, J.
200
1977
Convex analysis and nonlinear optimization. Theory and examples. Zbl 0953.90001
Borwein, Jonathan M.; Lewis, Adrian S.
196
2000
Convex functions. Constructions, characterizations and counterexamples. Zbl 1191.26001
Borwein, Jonathan M.; Vanderwerff, Jon D.
176
2010
Special values of multiple polylogarithms. Zbl 1002.11093
Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr
171
2001
Partially finite convex programming. I: Quasi relative interiors and duality theory. Zbl 0778.90049
Borwein, J. M.; Lewis, A. S.
155
1992
Legendre functions and the method of random Bregman projections. Zbl 0894.49019
Bauschke, Heinz G.; Borwein, Jonathan M.
153
1997
Bregman monotone optimization algorithms. Zbl 1049.90053
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
146
2003
Super efficiency in vector optimization. Zbl 0796.90045
Borwein, J. M.; Zhuang, D.
134
1993
Explicit evaluation of Euler sums. Zbl 0819.40003
Borwein, David; Borwein, Jonathan M.; Girgensohn, Roland
123
1995
On the convergence of von Neumann’s alternating projection algorithm for two sets. Zbl 0801.47042
Bauschke, H. H.; Borwein, J. M.
122
1993
A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions. Zbl 0632.49008
Borwein, J. M.; Preiss, D.
114
1987
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
111
1999
A cubic counterpart of Jacobi’s identity and the AGM. Zbl 0725.33014
Borwein, J. M.; Borwein, P. B.
106
1991
Ramanujan’s rational and algebraic series for \(1/\pi\). Zbl 0699.10044
Borwein, J. M.; Borwein, P. B.
88
1987
Stability and regular points of inequality systems. Zbl 0557.49020
Borwein, J. M.
86
1986
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.
83
1997
Cubic analogues of the Jacobian theta function \(\theta(z,q)\). Zbl 0797.33012
Hirschhorn, Michael; Garvan, Frank; Borwein, Jon
83
1993
Experimental evaluation of Euler sums. Zbl 0810.11076
Bailey, David H.; Borwein, Jonathan M.; Girgensohn, Roland
80
1994
On the existence of Pareto efficient points. Zbl 0508.90080
Borwein, Jonathan M.
72
1983
The method of cyclic projections for closed convex sets in Hilbert space. Zbl 0874.47029
Bauschke, Heinz H.; Borwein, Jonathan M.; Lewis, Adrian S.
71
1997
Multivalued convexity and optimization: A unified approach to inequality and equality constraints. Zbl 0375.90062
Borwein, J.
71
1977
Regularizing the abstract convex program. Zbl 0467.90076
Borwein, Jon; Wolkowicz, Henry
70
1981
Some cubic modular identities of Ramanujan. Zbl 0799.33012
Borwein, J. M.; Borwein, P. B.; Garvan, F. G.
69
1994
Dykstra’s alternating projection algorithm for two sets. Zbl 0833.46011
Bauschke, H. H.; Borwein, J. M.
69
1994
Elliptic integral evaluations of Bessel moments and applications. Zbl 1152.33003
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Glasser, M. L.
67
2008
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.
66
1988
Convergence of best entropy estimates. Zbl 0756.41037
Borwein, J. M.; Lewis, A. S.
62
1991
Experimentation in mathematics. Computational paths to discovery. Zbl 1083.00002
Borwein, Jonathan; Bailey, David; Girgensohn, Roland
62
2004
The geometry of Pareto efficiency over cones. Zbl 0447.90077
Borwein, J. M.
59
1980
Notions of relative interior in Banach spaces. Zbl 1136.49307
Borwein, J.; Goebel, R.
59
2003
Krasnoselski-Mann iterations in normed spaces. Zbl 0712.47050
Borwein, Jonathan; Reich, Simeon; Shafrir, Itai
58
1992
Duality relationships for entropy-like minimization problems. Zbl 0797.49030
Borwein, J. M.; Lewis, A. S.
57
1991
Pi and the AGM. A study in analytic number theory and computational complexity. Zbl 0903.11001
Borwein, Jonathan M.; Borwein, Peter B.
57
1998
Mathematics by experiment. Plausible reasoning in the 21st century. 2nd revised and updated ed. Zbl 1163.00002
Borwein, Jonathan; Bailey, David
55
2008
Tangential approximations. Zbl 0613.49016
Borwein, J. M.; Strojwas, H. M.
55
1985
Computational strategies for the Riemann zeta function. Zbl 0972.11077
Borwein, Jonathan M.; Bradley, David M.; Crandall, Richard E.
55
2000
Continuity and differentiability properties of convex operators. Zbl 0487.46026
Borwein, J. M.
54
1982
Existence of nearest points in Banach spaces. Zbl 0668.46006
Borwein, Jonathan M.; Fitzpatrick, Simon
53
1989
Facial reduction for a cone-convex programming problem. Zbl 0464.90086
Borwein, Jon M.; Wolkowicz, Henry
53
1981
Maximal monotonicity via convex analysis. Zbl 1111.47042
Borwein, Jonathan M.
50
2006
A survey of subdifferential calculus with applications. Zbl 0933.49006
Borwein, Jonathan M.; Zhu, Qiji J.
49
1999
Fifty years of maximal monotonicity. Zbl 1214.47043
Borwein, Jonathan M.
49
2010
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.
47
2013
Proximal analysis and boundaries of closed sets in Banach space. I: Theory. Zbl 0577.46011
Borwein, J. M.; Strojwas, H. M.
45
1986
On an intriguing integral and some series related to \(\zeta (4)\). Zbl 0840.11036
Borwein, David; Borwein, Jonathan M.
45
1995
The evaluation of character Euler double sums. Zbl 1241.11108
Borwein, J. M.; Zucker, I. J.; Boersma, J.
43
2008
A cyclic Douglas-Rachford iteration scheme. Zbl 1305.90407
Borwein, Jonathan M.; Tam, Matthew K.
42
2014
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.
41
1989
Combinatorial aspects of multiple zeta values. Zbl 0904.05012
Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr
41
1998
Convergence rate analysis for averaged fixed point iterations in common fixed point problems. Zbl 1361.90045
Borwein, Jonathan M.; Li, Guoyin; Tam, Matthew K.
41
2017
Evaluation of triple Euler sums. Zbl 0884.40005
Borwein, Jonathan M.; Girgensohn, Roland
40
1996
The Douglas-Rachford algorithm in the absence of convexity. Zbl 1259.90098
Borwein, Jonathan M.; Sims, Brailey
40
2011
Central binomial sums, multiple Clausen values, and zeta values. Zbl 0998.11045
Borwein, Jonathan Michael; Broadhurst, David J.; Kamnitzer, Joel
40
2001
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
40
2014
Recent results on Douglas-Rachford methods for combinatorial optimization problems. Zbl 1305.90341
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K.
40
2014
A note on epsilon-subgradients and maximal monotonicity. Zbl 0525.49010
Borwein, J. M.
39
1982
The proximal normal formula in Banach space. Zbl 0632.49007
Borwein, J. M.; Giles, J. R.
39
1987
Entropy minimization, \(DAD\) problems, and doubly stochastic kernels. Zbl 0815.15021
Borwein, J. M.; Lewis, A. S.; Nussbaum, R. D.
37
1994
A Lagrange multiplier theorem and a sandwich theorem for convex relations. Zbl 0468.49007
Borwein, J. M.
37
1981
A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept. Zbl 1221.26019
Borwein, Jonathan M.; Reich, Simeon; Sabach, Shoham
37
2011
The differentiability of real functions on normed linear space using generalized subgradients. Zbl 0644.46032
Borwein, J. M.; Fitzpatrick, S. P.; Giles, J. R.
36
1987
The arithmetic-geometric mean and fast computation of elementary functions. Zbl 0557.65009
Borwein, J. M.; Borwein, P. B.
35
1984
Essentially smooth Lipschitz functions. Zbl 0896.49007
Borwein, Jonathan M.; Moors, Warren B.
35
1997
Densities of short uniform random walks. Zbl 1296.33011
Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim
35
2012
Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative. Zbl 1119.47050
Bartz, Sedi; Bauschke, Heinz H.; Borwein, Jonathan M.; Reich, Simeon; Wang, Xianfu
35
2007
Nonsmooth calculus in finite dimensions. Zbl 0633.46043
Ward, D. E.; Borwein, J. M.
35
1987
Global convergence of a non-convex Douglas-Rachford iteration. Zbl 1286.90114
Aragón Artacho, Francisco J.; Borwein, Jonathan M.
34
2013
Douglas-Rachford feasibility methods for matrix completion problems. Zbl 1297.90182
Artacho, Francisco J. Aragón; Borwein, Jonathan M.; Tam, Matthew K.
34
2014
Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity. Zbl 0882.49020
Borwein, Jonathan M.; Zhu, Qiji J.
33
1996
Minimal cuscos and subgradients of Lipschitz functions. Zbl 0743.49006
Borwein, J. M.
33
1991
Adjoint process duality. Zbl 0534.49015
Borwein, J. M.
31
1983
Experimental mathematics in action. Zbl 1127.00002
Bailey, David H.; Borwein, Jonathan M.; Calkin, Neil J.; Girgensohn, Roland; Luke, D. Russell; Moll, Victor H.
31
2007
A characterization of quasiconvex vector-valued functions. Zbl 1024.26020
Benoist, Joël; Borwein, Jonathan M.; Popovici, Nicolae
31
2003
On difference convexity of locally Lipschitz functions. Zbl 1237.46007
Bačák, Miroslav; Borwein, Jonathan M.
30
2011
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
30
2014
Second order differentiability of convex functions in Banach spaces. Zbl 0802.46027
Borwein, Jonathan M.; Noll, Dominikus
29
1994
Fixed point iterations for real functions. Zbl 0742.26006
Borwein, David; Borwein, Jonathan
28
1991
High-precision computation: mathematical physics and dynamics. Zbl 1248.65147
Bailey, D. H.; Barrio, R.; Borwein, J. M.
28
2012
Parametric Euler sum identities. Zbl 1102.11049
Borwein, David; Borwein, Jonathan M.; Bradley, David M.
28
2006
Maximality of sums of two maximal monotone operators in general Banach space. Zbl 1130.47031
Borwein, Jonathan M.
27
2007
Characterizations of optimality without constraint qualification for the abstract convex program. Zbl 0495.90085
Borwein, J. M.; Wolkowicz, H.
27
1982
Mosco convergence and the Kadec property. Zbl 0672.46007
Borwein, Jonathan M.; Fitzpatrick, Simon
27
1989
Thirty-two Goldbach variations. Zbl 1094.11031
Borwein, Jonathan M.; Bradley, David M.
27
2006
Partially finite convex programming. II: Explicit lattice models. Zbl 0778.90050
Borwein, J. M.; Lewis, A. S.
26
1992
Uniformly convex functions on Banach spaces. Zbl 1184.52009
Borwein, J.; Guirao, A. J.; Hájek, P.; Vanderwerff, J.
26
2009
Characterizations of Banach spaces via convex and other locally Lipschitz functions. Zbl 0920.46004
Borwein, J.; Fabian, M.; Vanderwerff, J.
26
1997
Mathematics by experiment. Plausible reasoning in the 21st century. Zbl 1083.00001
Borwein, Jonathan; Bailey, David
26
2004
Inequalities for compound mean iterations with logarithmic asymptotes. Zbl 0783.33001
Borwein, Jonathan M.; Borwein, Peter B.
25
1993
Fitzpatrick functions and continuous linear monotone operators. Zbl 1157.47034
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu
25
2007
Some arithmetic properties of short random walk integrals. Zbl 1233.60024
Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James
25
2011
Proximal analysis and boundaries of closed sets in Banach space. II: applications. Zbl 0621.46019
Borwein, J. M.; Strojwas, H. M.
25
1987
Epi-Lipschitz-like sets in Banach space: Theorems and examples. Zbl 0639.49014
Borwein, Jonathan Michael
25
1987
Mosco convergence and reflexivity. Zbl 0763.46006
Beer, Gerald; Borwein, Jonathan M.
24
1990
Fréchet-Legendre functions and reflexive Banach spaces. Zbl 1206.58004
Borwein, J. M.; Vanderwerff, J.
24
2010
Symmetry and the monotonicity of certain Riemann sums. Zbl 1446.26008
Borwein, David; Borwein, Jonathan M.; Sims, Brailey
3
2020
Checkerboard copulas of maximum entropy with prescribed mixed moments. Zbl 1437.60010
Borwein, Jonathan; Howlett, Phil
2
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.
13
2018
Gamma and factorial in the Monthly. Zbl 1392.33001
Borwein, Jonathan M.; Corless, Robert M.
10
2018
Derivatives and fast evaluation of the Tornheim zeta function. Zbl 1433.11106
Borwein, Jonathan M.; Dilcher, Karl
9
2018
Convex analysis in groups and semigroups: a sampler. Zbl 1392.49007
Borwein, Jonathan M.; Giladi, Ohad
5
2018
Computation and experimental evaluation of Mordell-Tornheim-Witten sum derivatives. Zbl 1450.11124
Bailey, David H.; Borwein, J. M.
5
2018
Ergodic behaviour of a Douglas-Rachford operator away from the origin. Zbl 1503.47082
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.
41
2017
Reflection methods for inverse problems with applications to protein conformation determination. Zbl 1403.49012
Borwein, Jonathan M.; Tam, Matthew K.
7
2017
Computer discovery and analysis of large Poisson polynomials. Zbl 1426.11134
Bailey, David H.; Borwein, Jonathan M.; Kimberley, Jason S.; Ladd, Watson
5
2017
Generalisations, examples, and counter-examples in analysis and optimisation. In honour of Michel Théra at 70. Zbl 06804489
Borwein, Jonathan M.
3
2017
Generalized continued logarithms and related continued fractions. Zbl 1422.11153
Borwein, Jonathan M.; Hare, Kevin G.; Lynch, Jason G.
3
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
Adventures with the OEIS. Zbl 1390.11055
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.
23
2016
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums. Zbl 1331.11065
Bailey, D. H.; Borwein, J. M.
12
2016
Meetings with Lambert \(\mathcal W\) and other special functions in optimization and analysis. Zbl 1349.90674
Borwein, Jonathan M.; Lindstrom, Scott B.
10
2016
Densities of short uniform random walks in higher dimensions. Zbl 1333.60086
Borwein, Jonathan M.; Straub, Armin; Vignat, Christophe
9
2016
A closed form for the density functions of random walks in odd dimensions. Zbl 1347.60049
Borwein, Jonathan M.; Sinnamon, Corwin W.
6
2016
Maximal monotone inclusions and Fitzpatrick functions. Zbl 1354.90135
Borwein, J. M.; Dutta, J.
6
2016
A very complicated proof of the minimax theorem. Zbl 1337.46049
Borwein, Jonathan
5
2016
Some remarks on convex analysis in topological groups. Zbl 1358.46006
Borwein, Jonathan M.; Giladi, Ohad
5
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
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
Experimental mathematics in the society of the future. Zbl 1353.01023
Bailey, David H.; Borwein, Jonathan M.
1
2016
The cyclic Douglas-Rachford method for inconsistent feasibility problems. Zbl 1315.47061
Borwein, Jonathan M.; Tam, Matthew K.
20
2015
High-precision arithmetic in mathematical physics. Zbl 1318.65025
Bailey, David H.; Borwein, Jonathan M.
15
2015
On Eulerian log-gamma integrals and Tornheim-Witten zeta functions. Zbl 1382.11068
Bailey, David H.; Borwein, David; Borwein, Jonathan M.
10
2015
Norm convergence of realistic projection and reflection methods. Zbl 1440.47050
Borwein, Jonathan M.; Sims, Brailey; Tam, Matthew K.
9
2015
Computation and theory of Mordell-Tornheim-Witten sums. II. Zbl 1326.11050
Bailey, D. H.; Borwein, J. M.
6
2015
Recent progress on monotone operator theory. Zbl 1328.47054
Borwein, Jonathan M.; Yao, Liangjin
5
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.
4
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.
4
2015
Duality and convex programming. Zbl 1331.49041
Borwein, Jonathan M.; Luke, D. Russell
3
2015
Relations for Nielsen polylogarithms. Zbl 1315.33006
Borwein, Jonathan M.; Straub, Armin
1
2015
A cyclic Douglas-Rachford iteration scheme. Zbl 1305.90407
Borwein, Jonathan M.; Tam, Matthew K.
42
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
40
2014
Recent results on Douglas-Rachford methods for combinatorial optimization problems. Zbl 1305.90341
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K.
40
2014
Douglas-Rachford feasibility methods for matrix completion problems. Zbl 1297.90182
Artacho, Francisco J. Aragón; Borwein, Jonathan M.; Tam, Matthew K.
34
2014
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
30
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
10
2014
On lattice sums and Wigner limits. Zbl 1369.11046
Borwein, David; Borwein, Jonathan M.; Straub, Armin
9
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
8
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
6
2014
Applications of convex analysis within mathematics. Zbl 1306.47058
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Martín-Márquez, Victoria; Yao, Liangjin
5
2014
Automated simplification of large symbolic expressions. Zbl 1310.68259
Bailey, David H.; Borwein, Jonathan M.; Kaiser, Alexander D.
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
3
2014
Sum theorems for maximally monotone operators of type (FPV). Zbl 1303.47071
Borwein, Jonathan M.; Yao, Liangjin
3
2014
The life of \(\pi\): from Archimedes to ENIAC and beyond. Zbl 1284.01010
Borwein, Jonathan M.
2
2014
On the solution of linear mean recurrences. Zbl 1303.39002
Borwein, David; Borwein, Jonathan M.; Sims, Brailey
2
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.
47
2013
Global convergence of a non-convex Douglas-Rachford iteration. Zbl 1286.90114
Aragón Artacho, Francisco J.; Borwein, Jonathan M.
34
2013
Closed forms: what they are and why we care. Zbl 1334.33042
Borwein, Jonathan M.; Crandall, Richard E.
22
2013
Three-step and four-step random walk integrals. Zbl 1268.33005
Borwein, Jonathan M.; Straub, Armin; Wan, James
21
2013
Structure theory for maximally monotone operators with points of continuity. Zbl 1282.47067
Borwein, Jonathan M.; Yao, Liangjin
10
2013
Mahler measures, short walks and log-sine integrals. Zbl 1297.11136
Borwein, Jonathan M.; Straub, Armin
7
2013
Walking on real numbers. Zbl 1282.11088
Aragón Artacho, Francisco J.; Bailey, David H.; Borwein, Jonathan M.; Borwein, Peter B.
7
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
Expectations on fractal sets. Zbl 1329.28015
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Rose, Michael G.
6
2013
Variational methods in the presence of symmetry. Zbl 1277.49018
Borwein, Jonathan M.; Zhu, Qiji J.
5
2013
Normal numbers and pseudorandom generators. Zbl 1310.11078
Bailey, David H.; Borwein, Jonathan M.
5
2013
Recent results on Douglas-Rachford methods. Zbl 1324.90130
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Tam, Matthew K.
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
5
2013
Compressed lattice sums arising from the Poisson equation. Zbl 1294.11137
Bailey, David H.; Borwein, Jonathan M.
5
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
Computation of an improved lower bound to Giuga’s primality conjecture. Zbl 1284.11002
Borwein, Jonathan; Maitland, Christopher; Skerritt, Matthew
2
2013
Monotone operators without enlargements. Zbl 1305.47034
Borwein, Jonathan M.; Burachik, Regina S.; Yao, Liangjin
1
2013
Densities of short uniform random walks. Zbl 1296.33011
Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim
35
2012
High-precision computation: mathematical physics and dynamics. Zbl 1248.65147
Bailey, D. H.; Barrio, R.; Borwein, J. M.
28
2012
Copulas with maximum entropy. Zbl 1280.90093
Piantadosi, Julia; Howlett, Phil; Borwein, Jonathan
14
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
10
2012
Maximum entropy and feasibility methods for convex and nonconvex inverse problems. Zbl 1241.45009
Borwein, Jonathan M.
9
2012
Log-sine evaluations of Mahler measures. II. Zbl 1266.33022
Borwein, David; Borwein, Jonathan M.; Straub, Armin; Wan, James
8
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
Log-sine evaluations of Mahler measures. Zbl 1277.33019
Borwein, Jonathan M.; Straub, Armin
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
6
2012
Constructions of uniformly convex functions. Zbl 1260.46009
Borwein, Jonathan M.; Vanderwerff, Jon
5
2012
An introduction to modern mathematical computing. With Mathematica. Zbl 1252.65001
Borwein, Jonathan M.; Skerritt, Matthew P.
5
2012
Nonnormality of Stoneham constants. Zbl 1336.11055
Bailey, David H.; Borwein, Jonathan M.
5
2012
Organic mathematics: Then and now. Zbl 1273.01065
Borwein, Jonathan M.; Jungić, Veselin
4
2012
Maximum entropy methods for generating simulated rainfall. Zbl 1247.86005
Piantadosi, Julia; Howlett, Phil; Borwein, Jonathan; Henstridge, John
3
2012
Exploratory experimentation: digitally-assisted discovery and proof. Zbl 1259.97011
Borwein, Jonathan Michael
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
A sinc that sank. Zbl 1270.33001
Borwein, David; Borwein, Jonathan M.; Straub, Armin
2
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
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
40
2011
A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept. Zbl 1221.26019
Borwein, Jonathan M.; Reich, Simeon; Sabach, Shoham
37
2011
On difference convexity of locally Lipschitz functions. Zbl 1237.46007
Bačák, Miroslav; Borwein, Jonathan M.
30
2011
Some arithmetic properties of short random walk integrals. Zbl 1233.60024
Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James
25
2011
Special values of generalized log-sine integrals. Zbl 1323.68584
Borwein, Jonathan M.; Straub, Armin
18
2011
High-precision numerical integration: progress and challenges. Zbl 1291.65070
Bailey, D. H.; Borwein, J. M.
15
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.
11
2011
Exploratory experimentation and computation. Zbl 1247.00010
Bailey, David H.; Borwein, Jonathan M.
8
2011
Entropic regularization of the \(\ell _{0}\) function. Zbl 1357.49115
Borwein, Jonathan M.; Luke, D. Russell
7
2011
...and 323 more Documents
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Cited by 7,100 Authors

160 Borwein, Jonathan Michael
83 Bauschke, Heinz H.
75 Mordukhovich, Boris S.
70 Wang, Shawn Xianfu
59 Chu, Yuming
58 Reich, Simeon
52 Yao, Jen-Chih
45 Thibault, Lionel
40 Censor, Yair
37 Xu, Ce
36 Boţ, Radu Ioan
35 Penot, Jean-Paul
35 Sofo, Anthony
34 Bailey, David Harold
34 Dai, Yu-Hong
34 Théra, Michel A.
33 Combettes, Patrick L.
33 Jourani, Abderrahim
30 Kruger, Alexander Y.
29 Liu, Hongwei
28 Beer, Gerald Alan
28 Jeyakumar, Vaithilingam
28 Wang, Miaokun
27 Cho, Yeol Je
27 Ioffe, Alexander Davidovich
27 Kumam, Poom
27 Zaslavski, Alexander Yakovlevich
26 Csetnek, Ernö Robert
26 Nam, Nguyen Mau
26 Yang, Xiaoqi
26 Yao, Yonghong
24 Yang, Xinmin
23 Chu, Wenchang
23 Eie, Minking
23 Iiduka, Hideaki
23 Li, Chong
22 Gibali, Aviv
22 Jolaoso, Lateef Olakunle O.
22 Li, Shengjie
22 Mewomo, Oluwatosin Temitope
22 Tam, Matthew K.
21 Babaie-Kafaki, Saman
21 Cholamjiak, Prasit
21 Lewis, Adrian S.
21 Raydan, Marcos
21 Wolkowicz, Henry
21 Zegeye, Habtu
21 Zhao, Tiehong
20 Cegielski, Andrzej
20 Dong, Qiaoli
20 Liou, Yeongcheng
20 Luke, Russell
20 Shehu, Yekini
19 Campbell, John Maxwell
19 Tammer, Christiane
19 Weinzierl, Stefan
19 Yang, Zhenhang
19 Zălinescu, Constantin
18 Correa, Rafael Augusto Couceiro
18 Drusvyatskiy, Dmitriy
18 Hantoute, Abderrahim
18 Kang, Shin Min
18 Kohlenbach, Ulrich Wilhelm
18 Liu, Zexian
18 López-Cerdá, Marco Antonio
18 Moursi, Walaa M.
18 Phan, Hung M.
18 Sama, Miguel
18 Nguyen Dong Yen
17 Aragón Artacho, Francisco Javier
17 Borwein, Peter Benjamin
17 Chan, Heng Huat
17 Flåm, Sjur Didrik
17 He, Songnian
17 Pérez-Aros, Pedro
17 Qiu, Songliang
17 Wei, Zhou
17 Yao, Liangjin
17 Zalas, Rafał
16 Blümlein, Johannes
16 Crandall, Richard E.
16 Deutsch, Frank
16 Dinh The Luc
16 Lourenço, Bruno F.
16 Moll, Victor Hugo
16 Pong, Ting Kei
16 Qin, Xiaolong
16 Straub, Armin
16 Zhang, Hongchao
16 Zudilin, Wadim
15 Fabian, Marián J.
15 Huang, Yakui
15 Li, Guoyin
15 Qi, Liqun
15 Soleimani-damaneh, Majid
15 Srivastava, Hari Mohan
15 Xiao, Yunhai
15 Yamada, Isao
15 Zanni, Luca
14 Burachik, Regina Sandra
...and 7,000 more Authors
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Cited in 740 Serials

385 Journal of Optimization Theory and Applications
340 Journal of Mathematical Analysis and Applications
259 Optimization
199 Mathematical Programming. Series A. Series B
149 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
145 SIAM Journal on Optimization
134 Set-Valued and Variational Analysis
127 The Ramanujan Journal
123 Journal of Global Optimization
114 Computational Optimization and Applications
108 Optimization Letters
103 Applied Mathematics and Computation
101 Proceedings of the American Mathematical Society
101 Numerical Algorithms
94 Journal of Number Theory
89 Numerical Functional Analysis and Optimization
88 Journal of Computational and Applied Mathematics
77 Journal of Inequalities and Applications
73 Optimization Methods & Software
71 Transactions of the American Mathematical Society
68 Fixed Point Theory and Applications
62 Journal of Convex Analysis
60 Journal of Approximation Theory
55 Bulletin of the Australian Mathematical Society
48 Set-Valued Analysis
48 Nonlinear Analysis. Theory, Methods & Applications
47 Abstract and Applied Analysis
45 Positivity
44 Linear Algebra and its Applications
43 Mathematics of Computation
40 International Journal of Number Theory
39 Journal of High Energy Physics
38 Computational and Applied Mathematics
36 European Journal of Operational Research
35 Experimental Mathematics
35 Journal of Industrial and Management Optimization
34 Inverse Problems
34 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
33 Journal of Mathematical Physics
33 Journal of Scientific Computing
32 Computers & Mathematics with Applications
30 Journal of Functional Analysis
29 Applied Mathematics and Optimization
27 Vietnam Journal of Mathematics
27 Journal of Fixed Point Theory and Applications
27 SIAM Journal on Imaging Sciences
26 Nuclear Physics. B
25 Aequationes Mathematicae
25 International Journal of Computer Mathematics
25 Integral Transforms and Special Functions
24 Advances in Mathematics
23 American Mathematical Monthly
23 Applicable Analysis
23 Israel Journal of Mathematics
23 Journal of the Australian Mathematical Society
22 Mathematics of Operations Research
21 Foundations of Computational Mathematics
20 Journal of Computational Physics
20 Rocky Mountain Journal of Mathematics
20 Operations Research Letters
19 Results in Mathematics
19 Applied Numerical Mathematics
19 SIAM Journal on Scientific Computing
18 Advances in Applied Mathematics
18 Applied Mathematics Letters
18 Annals of Operations Research
18 Mathematical Methods of Operations Research
18 Acta Mathematica Sinica. English Series
18 Journal of Applied Mathematics
18 Journal of Machine Learning Research (JMLR)
17 Theoretical Computer Science
17 Journal of Mathematical Sciences (New York)
17 Filomat
17 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
17 Thai Journal of Mathematics
16 Mathematical Programming
16 Rendiconti del Circolo Matemàtico di Palermo. Serie II
16 SIAM Journal on Numerical Analysis
16 Topology and its Applications
16 Mathematical Problems in Engineering
15 Numerische Mathematik
15 Acta Mathematica Hungarica
15 Journal of Physics A: Mathematical and Theoretical
15 Journal of Mathematical Inequalities
14 Computer Physics Communications
14 Mathematical Notes
14 Advances in Computational Mathematics
14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
14 Journal of Nonlinear and Variational Analysis
13 Mathematical Methods in the Applied Sciences
13 The Mathematical Intelligencer
13 Acta Arithmetica
13 Archiv der Mathematik
13 International Journal for Numerical Methods in Engineering
13 Mathematical and Computer Modelling
13 Mediterranean Journal of Mathematics
13 Inverse Problems in Science and Engineering
13 Applicable Analysis and Discrete Mathematics
13 Numerical Algebra, Control and Optimization
12 Monatshefte für Mathematik
...and 640 more Serials
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Cited in 62 Fields

2,745 Operations research, mathematical programming (90-XX)
1,612 Calculus of variations and optimal control; optimization (49-XX)
1,493 Numerical analysis (65-XX)
1,151 Operator theory (47-XX)
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637 Special functions (33-XX)
608 Functional analysis (46-XX)
516 Real functions (26-XX)
292 Computer science (68-XX)
274 Combinatorics (05-XX)
274 Convex and discrete geometry (52-XX)
244 General topology (54-XX)
237 Approximations and expansions (41-XX)
228 Statistics (62-XX)
226 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
182 Information and communication theory, circuits (94-XX)
180 Partial differential equations (35-XX)
171 Probability theory and stochastic processes (60-XX)
168 Global analysis, analysis on manifolds (58-XX)
158 Quantum theory (81-XX)
152 Linear and multilinear algebra; matrix theory (15-XX)
144 Sequences, series, summability (40-XX)
109 Systems theory; control (93-XX)
95 Ordinary differential equations (34-XX)
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81 Statistical mechanics, structure of matter (82-XX)
77 Functions of a complex variable (30-XX)
73 Algebraic geometry (14-XX)
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66 Difference and functional equations (39-XX)
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58 Biology and other natural sciences (92-XX)
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30 History and biography (01-XX)
28 Optics, electromagnetic theory (78-XX)
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20 Geometry (51-XX)
17 Associative rings and algebras (16-XX)
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14 Relativity and gravitational theory (83-XX)
13 Mathematics education (97-XX)
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9 Manifolds and cell complexes (57-XX)
6 Topological groups, Lie groups (22-XX)
6 Abstract harmonic analysis (43-XX)
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5 Algebraic topology (55-XX)
4 Commutative algebra (13-XX)
4 Category theory; homological algebra (18-XX)
3 Astronomy and astrophysics (85-XX)

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