## Bauschke, Heinz H.

Compute Distance To:
 Author ID: bauschke.heinz-h Published as: Bauschke, Heinz H.; Bauschke, H. H.; Bauschke, Heinz; Bauschke, Heinz G. more...less External Links: MGP · ORCID
 Documents Indexed: 148 Publications since 1993, including 2 Books 6 Contributions as Editor Reviewing Activity: 4 Reviews Co-Authors: 77 Co-Authors with 145 Joint Publications 1,482 Co-Co-Authors
all top 5

### Co-Authors

 9 single-authored 67 Wang, Shawn Xianfu 19 Moursi, Walaa M. 18 Borwein, Jonathan Michael 15 Combettes, Patrick L. 11 Phan, Hung M. 11 Yao, Liangjin 7 Dao, Minh Ngoc 7 Luke, David Russell 7 Noll, Dominikus 6 Lucet, Yves 6 Moffat, Sarah M. 5 Alwadani, Salihah 5 Bartz, Sedi 5 Ouyang, Hui 4 Burachik, Regina Sandra 4 Deutsch, Frank 4 Hare, Warren L. 4 Hundal, Hein S. 4 Théra, Michel A. 3 Bui, Minh N. 3 Chen, Jiawei 3 Koch, Valentin R. 3 Lewis, Adrian S. 3 Lindstrom, Scott B. 3 Reich, Simeon 3 Wang, Caifang 3 Wolkowicz, Henry 3 Xu, Jia 2 Bolte, Jérôme 2 Kruk, Serge G. 2 Macklem, Mason S. 2 Mordukhovich, Boris S. 2 Nghia, Tran Thai An 2 Park, Sung Ho 2 Revalski, Julian Petrov 2 Sagastizábal, Claudia S. 2 Sendov, Hristo S. 2 Singh, Shambhavi 2 Teboulle, Marc 2 Trienis, Michael 2 Vanderwerff, Jon D. 2 Ye, Jane 2 Yuan, Xiaoming 1 Bailey, David Harold 1 Bello Cruz, Jose Yunier 1 Bello Cruz, Yunier Y. 1 Borwein, Peter Benjamin 1 Boţ, Radu Ioan 1 Burke, James V. 1 Douglas, Graeme R. 1 Edwards, McLean R. 1 Elser, Veit 1 Garvan, Frank G. 1 Goebel, Rafal 1 Gretchko, Sylvain 1 Güler, Osman 1 Herman, Daniel B. 1 Hoàng Xuân Phù 1 Huynh Van Ngai 1 Iorio, Francesco 1 Kaya, C. Yalçin 1 Kopecká, Eva 1 Krishan Lal, Manish 1 Li, Wu 1 Lukens, Brett 1 Martín-Márquez, Victoria 1 McLaren, D. Alexander 1 Miller, Levi 1 Pha, Hung M. 1 Sarada, Joshua 1 Saurette, Matthew 1 Schaad, Jason 1 Sewell, Jason B. 1 Simons, Stephen 1 Tseng, Paul 1 von Mohrenschildt, Martin 1 Wylie, Calvin J. S.
all top 5

### Serials

 15 SIAM Journal on Optimization 11 Set-Valued and Variational Analysis 10 Journal of Approximation Theory 9 Mathematical Programming. Series A. Series B 8 Journal of Convex Analysis 5 Journal of Mathematical Analysis and Applications 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Proceedings of the American Mathematical Society 4 Journal of Optimization Theory and Applications 4 SIAM Journal on Control and Optimization 4 Optimization Letters 3 Mathematics of Operations Research 3 Transactions of the American Mathematical Society 3 Numerical Algorithms 3 Vietnam Journal of Mathematics 3 Journal of Nonlinear and Convex Analysis 3 Pure and Applied Functional Analysis 2 Operations Research Letters 2 Optimization 2 Journal of Global Optimization 2 SIAM Review 2 Computational Optimization and Applications 2 Set-Valued Analysis 2 Foundations of Computational Mathematics 2 Pacific Journal of Optimization 2 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 2 Linear and Nonlinear Analysis 1 American Mathematical Monthly 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Journal of Functional Analysis 1 Operations Research 1 Pacific Journal of Mathematics 1 Linear Algebra and its Applications 1 Notices of the American Mathematical Society 1 Serdica Mathematical Journal 1 International Transactions in Operational Research 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Optimization Methods & Software 1 Communications in Contemporary Mathematics 1 Fixed Point Theory and Applications 1 Journal of Fixed Point Theory and Applications 1 ACM Communications in Computer Algebra 1 Springer Proceedings in Mathematics & Statistics 1 Springer Optimization and Its Applications 1 Journal of Nonlinear and Variational Analysis 1 OJMO. Open Journal of Mathematical Optimization 1 Fixed Point Theory and Algorithms for Sciences and Engineering
all top 5

### Fields

 117 Operations research, mathematical programming (90-XX) 105 Operator theory (47-XX) 53 Numerical analysis (65-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 35 Convex and discrete geometry (52-XX) 19 Real functions (26-XX) 19 Approximations and expansions (41-XX) 17 Functional analysis (46-XX) 7 General and overarching topics; collections (00-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 3 History and biography (01-XX) 3 Biology and other natural sciences (92-XX) 2 Measure and integration (28-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 General topology (54-XX)

### Citations contained in zbMATH Open

137 Publications have been cited 4,808 times in 2,783 Documents Cited by Year
Convex analysis and monotone operator theory in Hilbert spaces. Zbl 1218.47001
Bauschke, Heinz H.; Combettes, Patrick L.
2011
On projection algorithms for solving convex feasibility problems. Zbl 0865.47039
Bauschke, Heinz H.; Borwein, Jonathan M.
1996
Convex analysis and monotone operator theory in Hilbert spaces. 2nd edition. Zbl 1359.26003
Bauschke, Heinz H.; Combettes, Patrick L.
2017
A weak-to-strong convergence principle for Fejér-monotone methods in Hilbert spaces. Zbl 1082.65058
Bauschke, Heinz H.; Combettes, Patrick L.
2001
The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space. Zbl 0956.47024
Bauschke, Heinz H.
1996
Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces. Zbl 1032.49025
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
2001
Projection and proximal point methods: Convergence results and counterexamples. Zbl 1059.47060
Bauschke, Heinz H.; Matoušková, Eva; Reich, Simeon
2004
Bregman monotone optimization algorithms. Zbl 1049.90053
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
2003
Legendre functions and the method of random Bregman projections. Zbl 0894.49019
Bauschke, Heinz G.; Borwein, Jonathan M.
1997
On the convergence of von Neumann’s alternating projection algorithm for two sets. Zbl 0801.47042
Bauschke, H. H.; Borwein, J. M.
1993
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
1999
A descent lemma beyond Lipschitz gradient continuity: first-order methods revisited and applications. Zbl 1364.90251
Bauschke, Heinz H.; Bolte, Jérôme; Teboulle, Marc
2017
Finding best approximation pairs relative to two closed convex sets in Hilbert spaces. Zbl 1050.46021
Bauschke, Heinz H.; Combettes, Patrick L.; Luke, D. Russell
2004
The method of cyclic projections for closed convex sets in Hilbert space. Zbl 0874.47029
Bauschke, Heinz H.; Borwein, Jonathan M.; Lewis, Adrian S.
1997
Dykstra’s alternating projection algorithm for two sets. Zbl 0833.46011
Bauschke, H. H.; Borwein, J. M.
1994
The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle. Zbl 1307.49030
Bauschke, Heinz H.; Bello Cruz, J. Y.; Nghia, Tran T. A.; Phan, Hung M.; Wang, Xianfu
2014
Linear and strong convergence of algorithms involving averaged nonexpansive operators. Zbl 1297.65060
Bauschke, Heinz H.; Noll, Dominikus; Phan, Hung M.
2015
The asymptotic behavior of the composition of two resolvents. Zbl 1075.47033
Bauschke, Heinz H.; Combettes, Patrick L.; Reich, Simeon
2005
The proximal average: Basic theory. Zbl 1172.26003
Bauschke, Heinz H.; Goebel, Rafal; Lucet, Yves; Wang, Xianfu
2008
Construction of best Bregman approximations in reflexive Banach spaces. Zbl 1040.41016
Bauschke, Heinz H.; Combettes, Patrick L.
2003
Accelerating the convergence of the method of alternating projections. Zbl 1033.41019
Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein; Park, Sung-Ho
2003
Extrapolation algorithm for affine-convex feasibility problems. Zbl 1098.65060
Bauschke, Heinz H.; Combettes, Patrick L.; Kruk, Serge G.
2006
Hyperbolic polynomials and convex analysis. Zbl 0974.90015
Bauschke, Heinz H.; Güler, Osman; Lewis, Adrian S.; Sendov, Hristo S.
2001
Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative. Zbl 1119.47050
Bartz, Sedi; Bauschke, Heinz H.; Borwein, Jonathan M.; Reich, Simeon; Wang, Xianfu
2007
On the Douglas-Rachford algorithm. Zbl 06751028
Bauschke, Heinz H.; Moursi, Walaa M.
2017
Restricted normal cones and the method of alternating projections: theory. Zbl 1272.49027
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
2013
Dykstra’s algorithm with Bregman projections: A convergence proof. Zbl 0992.90052
Bauschke, Heinz H.; Lewis, Adrian S.
2000
Projection methods: Swiss army knives for solving feasibility and best approximation problems with halfspaces. Zbl 1325.65080
Bauschke, Heinz H.; Koch, Valentin R.
2015
A new proximal point iteration that converges weakly but not in norm. Zbl 1071.65082
Bauschke, H. H.; Burke, J. V.; Deutsch, F. R.; Hundal, H. S.; Vanderwerff, J. D.
2005
On the local convergence of the Douglas-Rachford algorithm. Zbl 1344.47044
Bauschke, H. H.; Noll, D.
2014
Fitzpatrick functions: inequalities, examples, and remarks on a problem by S. Fitzpatrick. Zbl 1117.26011
Bauschke, Heinz H.; McLaren, D. Alexander; Sendov, Hristo S.
2006
Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality. Zbl 1263.47066
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
2012
Attouch-Théra duality revisited: Paramonotonicity and operator splitting. Zbl 1254.47031
Bauschke, Heinz H.; Boţ, Radu I.; Hare, Warren L.; Moursi, Walaa M.
2012
Bounded linear regularity, strong CHIP, and CHIP are distinct properties. Zbl 0964.90032
Bauschke, Heinz H.; Borwein, Jonathan M.; Tseng, Paul
2000
The kernel average for two convex functions and its application to the extension and representation of monotone operators. Zbl 1189.47051
Bauschke, Heinz H.; Wang, Xianfu
2009
Fitzpatrick functions and continuous linear monotone operators. Zbl 1157.47034
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu
2007
Joint minimization with alternating Bregman proximity operators. Zbl 1124.90019
Bauschke, Heinz H.; Combettes, Patrick L.; Noll, Dominikus
2006
Reflection-projection method for convex feasibility problems with an obtuse cone. Zbl 1136.90432
Bauschke, H. H.; Kruk, S. G.
2004
The Douglas-Rachford algorithm for two (not necessarily intersecting) affine subspaces. Zbl 1341.47064
Bauschke, Heinz H.; Moursi, Walaa M.
2016
Characterizing arbitrarily slow convergence in the method of alternating projections. Zbl 1208.47079
Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein
2009
How to transform one convex function continuously into another. Zbl 1145.90050
Bauschke, Heinz H.; Lucet, Yves; Trienis, Michael
2008
A Dykstra-like algorithm for two monotone operators. Zbl 1176.47051
Bauschke, Heinz H.; Combettes, Patrick L.
2008
Restricted normal cones and sparsity optimization with affine constraints. Zbl 1298.49047
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
2014
A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space. Zbl 1123.41021
Bauschke, Heinz H.; Combettes, Patrick L.; Luke, D. Russell
2006
Restricted normal cones and the method of alternating projections: applications. Zbl 1349.65191
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
2013
Monotone linear relations: maximality and Fitzpatrick functions. Zbl 1193.47004
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2009
Optimal rates of linear convergence of relaxed alternating projections and generalized Douglas-Rachford methods for two subspaces. Zbl 1351.65022
Bauschke, Heinz H.; Bello Cruz, Yunier Y.; Nghia, Tran T. A.; Pha, Hung M.; Wang, Xianfu
2016
Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings. Zbl 1181.49017
Bauschke, Heinz H.
2007
Fixed-point algorithms for inverse problems in science and engineering. Based on the presentations at the interdisciplinary workshop, BIRS, Banff, Canada, November 1–6, 2009. Zbl 1217.00018
2011
A note on the paper by Eckstein and Svaiter on “general projective splitting methods for sums of maximal monotone operators”. Zbl 1197.47065
Bauschke, Heinz H.
2009
The resolvent average for positive semidefinite matrices. Zbl 1191.15024
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
2010
On the finite convergence of the Douglas-Rachford algorithm for solving (not necessarily convex) feasibility problems in Euclidean spaces. Zbl 1365.90194
Bauschke, Heinz H.; Dao, Minh N.
2017
The composition of projections onto closed convex sets in Hilbert space is asymptotically regular. Zbl 1016.47038
Bauschke, Heinz H.
2003
Joint and separate convexity of the Bregman distance. Zbl 1160.65319
Bauschke, Heinz H.; Borwein, Jonathan M.
2001
Bauschke, H. H.; Combettes, P. L.
2010
Proximal point algorithm, Douglas-Rachford algorithm and alternating projections: a case study. Zbl 1350.65057
Bauschke, Heinz H.; Dao, Minh N.; Noll, Dominikus; Phan, Hung M.
2016
A norm convergence result on random products of relaxed projections in Hilbert space. Zbl 0832.47055
Bauschke, H. H.
1995
On Slater’s condition and finite convergence of the Douglas-Rachford algorithm for solving convex feasibility problems in Euclidean spaces. Zbl 1345.90065
Bauschke, Heinz H.; Dao, Minh N.; Noll, Dominikus; Phan, Hung M.
2016
Projection algorithms: Results and open problems. Zbl 0991.65050
Bauschke, Heinz H.
2001
Bregman distances and Chebyshev sets. Zbl 1175.49017
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming
2009
Generalized solutions for the sum of two maximally monotone operators. Zbl 1297.47055
Bauschke, Heinz H.; Hare, Warren L.; Moursi, Walaa M.
2014
Primal-dual symmetric intrinsic methods for finding antiderivatives of cyclically monotone operators. Zbl 1189.47050
Bauschke, Heinz H.; Lucet, Yves; Wang, Xianfu
2007
A projection method for approximating fixed points of quasi nonexpansive mappings without the usual demiclosedness condition. Zbl 1311.47085
Bauschke, Heinz H.; Chen, Jiawei; Wang, Xianfu
2014
Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators. Zbl 0932.47041
Bauschke, Heinz H.; Borwein, Jonathan M.
1999
The Douglas-Rachford algorithm in the affine-convex case. Zbl 1408.90231
Bauschke, Heinz H.; Dao, Minh N.; Moursi, Walaa M.
2016
On the range of the Douglas-Rachford operator. Zbl 1350.47035
Bauschke, Heinz H.; Hare, Warren L.; Moursi, Walaa M.
2016
Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular. Zbl 1300.47056
Bauschke, Heinz H.; Martín-Márquez, Victoria; Moffat, Sarah M.; Wang, Xianfu
2012
Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory. Zbl 1247.47028
Bauschke, Heinz H.; Wang, Xianfu
2010
The piecewise linear-quadratic model for computational convex analysis. Zbl 1186.90089
Lucet, Yves; Bauschke, Heinz H.; Trienis, Mike
2009
Autoconjugate representers for linear monotone operators. Zbl 1185.47050
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2010
On linear convergence of non-Euclidean gradient methods without strong convexity and Lipschitz gradient continuity. Zbl 1429.65121
Bauschke, Heinz H.; Bolte, Jérôme; Chen, Jiawei; Teboulle, Marc; Wang, Xianfu
2019
On Borwein-Wiersma decompositions of monotone linear relations. Zbl 1215.47006
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2010
Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings. Zbl 1321.47113
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
2013
Regularizing with Bregman-Moreau envelopes. Zbl 1409.90138
Bauschke, Heinz H.; Dao, Minh N.; Lindstrom, Scott B.
2018
The resolvent average of monotone operators: dominant and recessive properties. Zbl 1357.47053
Bartz, Sedi; Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
2016
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia
2015
On the order of the operators in the Douglas-Rachford algorithm. Zbl 1346.47015
Bauschke, Heinz H.; Moursi, Walaa M.
2016
Iterating Bregman retractions. Zbl 1037.90048
Bauschke, Heinz H.; Combettes, Patrick L.
2003
New demiclosedness principles for (firmly) nonexpansive operators. Zbl 1297.47059
Bauschke, Heinz H.
2013
The Brezis-Browder theorem in a general Banach space. Zbl 1259.47065
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin
2012
Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter. Zbl 1197.47009
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2010
Symbolic computation of Fenchel conjugates. Zbl 1369.68356
Bauschke, Heinz H.; v. Mohrenschildt, Martin
2006
Affine nonexpansive operators, Attouch-Théra duality and the Douglas-Rachford algorithm. Zbl 06804490
Bauschke, Heinz H.; Lukens, Brett; Moursi, Walaa M.
2017
An answer to S. Simons’ question on the maximal monotonicity of the sum of a maximal monotone linear operator and a normal cone operator. Zbl 1198.47070
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2009
On circumcenters of finite sets in Hilbert spaces. Zbl 1456.51008
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
2018
Chebyshev sets, Klee sets, and Chebyshev centers with respect to Bregman distances: recent results and open problems. Zbl 1251.41011
Bauschke, Heinz H.; Macklem, Mason S.; Wang, Xianfu
2011
On Fejér monotone sequences and nonexpansive mappings. Zbl 1338.47060
Bauschke, Heinz H.; Dao, Minh N.; Moursi, Walaa M.
2015
Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization. Zbl 1338.90381
Bauschke, Heinz H.; Koch, Valentin R.; Phan, Hung M.
2016
The method of alternating relaxed projections for two nonconvex sets. Zbl 1312.65092
Bauschke, Heinz H.; Phan, Hung M.; Wang, Xianfu
2014
Projecting onto the intersection of a cone and a sphere. Zbl 06913575
Bauschke, Heinz H.; Bui, Minh N.; Wang, Xianfu
2018
A convex-analytical approach to extension results for $$n$$-cyclically monotone operators. Zbl 1133.47037
Bauschke, Heinz H.; Wang, Xianfu
2007
Compositions and averages of two resolvents: relative geometry of fixed points sets and a partial answer to a question by C. Byrne. Zbl 1228.47052
Wang, Xianfu; Bauschke, Heinz H.
2011
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
2012
Rectangularity and paramonotonicity of maximally monotone operators. Zbl 06315981
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2014
An explicit example of a maximal 3-cyclically monotone operator with bizarre properties. Zbl 1170.47033
Bauschke, Heinz H.; Wang, Xianfu
2008
The magnitude of the minimal displacement vector for compositions and convex combinations of firmly nonexpansive mappings. Zbl 1407.90341
Bauschke, Heinz H.; Moursi, Walaa M.
2018
On the asymptotic behaviour of the Aragón Artacho-Campoy algorithm. Zbl 1481.47079
Alwadani, Salihah; Bauschke, Heinz H.; Moursi, Walaa M.; Wang, Xianfu
2018
On the finite convergence of a projected cutter method. Zbl 1353.90108
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia
2015
On the convexity of piecewise-defined functions. Zbl 1356.26005
Bauschke, Heinz H.; Lucet, Yves; Phan, Hung M.
2016
On the linear convergence of circumcentered isometry methods. Zbl 07340125
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
2021
On the linear convergence of circumcentered isometry methods. Zbl 07340125
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
2021
Generalized monotone operators and their averaged resolvents. Zbl 07402653
Bauschke, Heinz H.; Moursi, Walaa M.; Wang, Xianfu
2021
Resolvents and Yosida approximations of displacement mappings of isometries. Zbl 1487.47080
Alwadani, Salihah; Bauschke, Heinz H.; Revalski, Julian P.; Wang, Xianfu
2021
On circumcenter mappings induced by nonexpansive operators. Zbl 1491.47042
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
2021
Attouch-Théra duality, generalized cycles, and gap vectors. Zbl 07384486
Alwadani, Salihah; Bauschke, Heinz; Wang, Xianfu
2021
The difference vectors for convex sets and a resolution of the geometry conjecture. Zbl 07573843
Alwadani, Salihah; Bauschke, Heinz H.; Revalski, Julian P.; Wang, Xianfu
2021
Circumcentered methods induced by isometries. Zbl 07341166
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
2020
On the behavior of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint. Zbl 1451.90117
Bauschke, Heinz H.; Moursi, Walaa M.
2020
On the minimal displacement vector of compositions and convex combinations of nonexpansive mappings. Zbl 07290668
Bauschke, Heinz H.; Moursi, Walaa M.
2020
Proximal averages for minimization of entropy functionals. Zbl 1466.65022
Bauschke, Heinz H.; Lindstrom, Scott B.
2020
On Dykstra’s algorithm: finite convergence, stalling, and the method of alternating projections. Zbl 1464.90055
Bauschke, Heinz H.; Burachik, Regina S.; Herman, Daniel B.; Kaya, C. Yalçın
2020
On linear convergence of non-Euclidean gradient methods without strong convexity and Lipschitz gradient continuity. Zbl 1429.65121
Bauschke, Heinz H.; Bolte, Jérôme; Chen, Jiawei; Teboulle, Marc; Wang, Xianfu
2019
The Douglas-Rachford algorithm for a hyperplane and a doubleton. Zbl 1474.49065
Bauschke, Heinz H.; Dao, Minh N.; Lindstrom, Scott B.
2019
On sums and convex combinations of projectors onto convex sets. Zbl 1478.47043
Bauschke, Heinz H.; Bui, Minh N.; Wang, Xianfu
2019
Regularizing with Bregman-Moreau envelopes. Zbl 1409.90138
Bauschke, Heinz H.; Dao, Minh N.; Lindstrom, Scott B.
2018
On circumcenters of finite sets in Hilbert spaces. Zbl 1456.51008
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
2018
Projecting onto the intersection of a cone and a sphere. Zbl 06913575
Bauschke, Heinz H.; Bui, Minh N.; Wang, Xianfu
2018
The magnitude of the minimal displacement vector for compositions and convex combinations of firmly nonexpansive mappings. Zbl 1407.90341
Bauschke, Heinz H.; Moursi, Walaa M.
2018
On the asymptotic behaviour of the Aragón Artacho-Campoy algorithm. Zbl 1481.47079
Alwadani, Salihah; Bauschke, Heinz H.; Moursi, Walaa M.; Wang, Xianfu
2018
A class of multi-marginal $$c$$-cyclically monotone sets with explicit $$c$$-splitting potentials. Zbl 1386.49034
Bartz, Sedi; Bauschke, Heinz H.; Wang, Xianfu
2018
Subgradient projectors: extensions, theory, and characterizations. Zbl 1422.49014
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia
2018
On Douglas-Rachford operators that fail to be proximal mappings. Zbl 06857151
Bauschke, Heinz H.; Schaad, Jason; Wang, Xianfu
2018
Convex analysis and monotone operator theory in Hilbert spaces. 2nd edition. Zbl 1359.26003
Bauschke, Heinz H.; Combettes, Patrick L.
2017
A descent lemma beyond Lipschitz gradient continuity: first-order methods revisited and applications. Zbl 1364.90251
Bauschke, Heinz H.; Bolte, Jérôme; Teboulle, Marc
2017
On the Douglas-Rachford algorithm. Zbl 06751028
Bauschke, Heinz H.; Moursi, Walaa M.
2017
On the finite convergence of the Douglas-Rachford algorithm for solving (not necessarily convex) feasibility problems in Euclidean spaces. Zbl 1365.90194
Bauschke, Heinz H.; Dao, Minh N.
2017
Affine nonexpansive operators, Attouch-Théra duality and the Douglas-Rachford algorithm. Zbl 06804490
Bauschke, Heinz H.; Lukens, Brett; Moursi, Walaa M.
2017
The resolvent order: a unification of the orders by Zarantonello, by Loewner, and by Moreau. Zbl 1425.47006
Bartz, Sedi; Bauschke, Heinz H.; Wang, Xianfu
2017
The Douglas-Rachford algorithm for two (not necessarily intersecting) affine subspaces. Zbl 1341.47064
Bauschke, Heinz H.; Moursi, Walaa M.
2016
Optimal rates of linear convergence of relaxed alternating projections and generalized Douglas-Rachford methods for two subspaces. Zbl 1351.65022
Bauschke, Heinz H.; Bello Cruz, Yunier Y.; Nghia, Tran T. A.; Pha, Hung M.; Wang, Xianfu
2016
Proximal point algorithm, Douglas-Rachford algorithm and alternating projections: a case study. Zbl 1350.65057
Bauschke, Heinz H.; Dao, Minh N.; Noll, Dominikus; Phan, Hung M.
2016
On Slater’s condition and finite convergence of the Douglas-Rachford algorithm for solving convex feasibility problems in Euclidean spaces. Zbl 1345.90065
Bauschke, Heinz H.; Dao, Minh N.; Noll, Dominikus; Phan, Hung M.
2016
The Douglas-Rachford algorithm in the affine-convex case. Zbl 1408.90231
Bauschke, Heinz H.; Dao, Minh N.; Moursi, Walaa M.
2016
On the range of the Douglas-Rachford operator. Zbl 1350.47035
Bauschke, Heinz H.; Hare, Warren L.; Moursi, Walaa M.
2016
The resolvent average of monotone operators: dominant and recessive properties. Zbl 1357.47053
Bartz, Sedi; Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
2016
On the order of the operators in the Douglas-Rachford algorithm. Zbl 1346.47015
Bauschke, Heinz H.; Moursi, Walaa M.
2016
Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization. Zbl 1338.90381
Bauschke, Heinz H.; Koch, Valentin R.; Phan, Hung M.
2016
On the convexity of piecewise-defined functions. Zbl 1356.26005
Bauschke, Heinz H.; Lucet, Yves; Phan, Hung M.
2016
On a result of Pazy concerning the asymptotic behaviour of nonexpansive mappings. Zbl 1387.47030
Bauschke, Heinz H.; Douglas, Graeme R.; Moursi, Walaa M.
2016
Linear and strong convergence of algorithms involving averaged nonexpansive operators. Zbl 1297.65060
Bauschke, Heinz H.; Noll, Dominikus; Phan, Hung M.
2015
Projection methods: Swiss army knives for solving feasibility and best approximation problems with halfspaces. Zbl 1325.65080
Bauschke, Heinz H.; Koch, Valentin R.
2015
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia
2015
On Fejér monotone sequences and nonexpansive mappings. Zbl 1338.47060
Bauschke, Heinz H.; Dao, Minh N.; Moursi, Walaa M.
2015
On the finite convergence of a projected cutter method. Zbl 1353.90108
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia
2015
A Bregman projection method for approximating fixed points of quasi-Bregman nonexpansive mappings. Zbl 1309.47070
Bauschke, Heinz H.; Chen, Jiawei; Wang, Xianfu
2015
A derivative-free comirror algorithm for convex optimization. Zbl 1328.90104
Bauschke, Heinz H.; Hare, Warren L.; Moursi, Walaa M.
2015
The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle. Zbl 1307.49030
Bauschke, Heinz H.; Bello Cruz, J. Y.; Nghia, Tran T. A.; Phan, Hung M.; Wang, Xianfu
2014
On the local convergence of the Douglas-Rachford algorithm. Zbl 1344.47044
Bauschke, H. H.; Noll, D.
2014
Restricted normal cones and sparsity optimization with affine constraints. Zbl 1298.49047
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
2014
Generalized solutions for the sum of two maximally monotone operators. Zbl 1297.47055
Bauschke, Heinz H.; Hare, Warren L.; Moursi, Walaa M.
2014
A projection method for approximating fixed points of quasi nonexpansive mappings without the usual demiclosedness condition. Zbl 1311.47085
Bauschke, Heinz H.; Chen, Jiawei; Wang, Xianfu
2014
The method of alternating relaxed projections for two nonconvex sets. Zbl 1312.65092
Bauschke, Heinz H.; Phan, Hung M.; Wang, Xianfu
2014
Rectangularity and paramonotonicity of maximally monotone operators. Zbl 06315981
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2014
On moving averages. Zbl 1320.15031
Bauschke, Heinz H.; Sarada, Joshua; Wang, Xianfu
2014
The method of cyclic intrepid projections: convergence analysis and numerical experiments. Zbl 1326.65065
Bauschke, Heinz H.; Iorio, Francesco; Koch, Valentin R.
2014
Restricted normal cones and the method of alternating projections: theory. Zbl 1272.49027
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
2013
Restricted normal cones and the method of alternating projections: applications. Zbl 1349.65191
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
2013
Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings. Zbl 1321.47113
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
2013
New demiclosedness principles for (firmly) nonexpansive operators. Zbl 1297.47059
Bauschke, Heinz H.
2013
On cluster points of alternating projections. Zbl 1324.65095
Bauschke, Heinz H.; Noll, Dominikus
2013
Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. Zbl 1276.00018
2013
Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality. Zbl 1263.47066
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
2012
Attouch-Théra duality revisited: Paramonotonicity and operator splitting. Zbl 1254.47031
Bauschke, Heinz H.; Boţ, Radu I.; Hare, Warren L.; Moursi, Walaa M.
2012
Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular. Zbl 1300.47056
Bauschke, Heinz H.; Martín-Márquez, Victoria; Moffat, Sarah M.; Wang, Xianfu
2012
The Brezis-Browder theorem in a general Banach space. Zbl 1259.47065
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin
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
2012
On the maximal monotonicity of the sum of a maximal monotone linear relation and the subdifferential operator of a sublinear function. Zbl 1272.47067
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2012
Fixed points of averages of resolvents: geometry and algorithms. Zbl 1263.47064
Bauschke, Heinz H.; Wang, Xianfu; Wylie, Calvin J. S.
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
2012
What is…a Fenchel conjugate? Zbl 1248.49047
Bauschke, Heinz H.; Lucet, Yves
2012
Convex analysis and monotone operator theory in Hilbert spaces. Zbl 1218.47001
Bauschke, Heinz H.; Combettes, Patrick L.
2011
Fixed-point algorithms for inverse problems in science and engineering. Based on the presentations at the interdisciplinary workshop, BIRS, Banff, Canada, November 1–6, 2009. Zbl 1217.00018
2011
Chebyshev sets, Klee sets, and Chebyshev centers with respect to Bregman distances: recent results and open problems. Zbl 1251.41011
Bauschke, Heinz H.; Macklem, Mason S.; Wang, Xianfu
2011
Compositions and averages of two resolvents: relative geometry of fixed points sets and a partial answer to a question by C. Byrne. Zbl 1228.47052
Wang, Xianfu; Bauschke, Heinz H.
2011
Self-dual smooth approximations of convex functions via the proximal average. Zbl 1250.26015
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
2011
The resolvent average for positive semidefinite matrices. Zbl 1191.15024
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
2010
Bauschke, H. H.; Combettes, P. L.
2010
Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory. Zbl 1247.47028
Bauschke, Heinz H.; Wang, Xianfu
2010
Autoconjugate representers for linear monotone operators. Zbl 1185.47050
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2010
On Borwein-Wiersma decompositions of monotone linear relations. Zbl 1215.47006
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2010
Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter. Zbl 1197.47009
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2010
Klee sets and Chebyshev centers for the right Bregman distance. Zbl 1200.52006
Bauschke, Heinz H.; Macklem, Mason S.; Sewell, Jason B.; Wang, Xianfu
2010
The kernel average for two convex functions and its application to the extension and representation of monotone operators. Zbl 1189.47051
Bauschke, Heinz H.; Wang, Xianfu
2009
Characterizing arbitrarily slow convergence in the method of alternating projections. Zbl 1208.47079
Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein
2009
Monotone linear relations: maximality and Fitzpatrick functions. Zbl 1193.47004
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2009
A note on the paper by Eckstein and Svaiter on “general projective splitting methods for sums of maximal monotone operators”. Zbl 1197.47065
Bauschke, Heinz H.
2009
Bregman distances and Chebyshev sets. Zbl 1175.49017
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming
2009
The piecewise linear-quadratic model for computational convex analysis. Zbl 1186.90089
Lucet, Yves; Bauschke, Heinz H.; Trienis, Mike
2009
An answer to S. Simons’ question on the maximal monotonicity of the sum of a maximal monotone linear operator and a normal cone operator. Zbl 1198.47070
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
2009
Bregman distances and Klee sets. Zbl 1172.52005
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming
2009
The proximal average: Basic theory. Zbl 1172.26003
Bauschke, Heinz H.; Goebel, Rafal; Lucet, Yves; Wang, Xianfu
2008
How to transform one convex function continuously into another. Zbl 1145.90050
Bauschke, Heinz H.; Lucet, Yves; Trienis, Michael
2008
A Dykstra-like algorithm for two monotone operators. Zbl 1176.47051
Bauschke, Heinz H.; Combettes, Patrick L.
2008
An explicit example of a maximal 3-cyclically monotone operator with bizarre properties. Zbl 1170.47033
Bauschke, Heinz H.; Wang, Xianfu
2008
Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative. Zbl 1119.47050
Bartz, Sedi; Bauschke, Heinz H.; Borwein, Jonathan M.; Reich, Simeon; Wang, Xianfu
2007
Fitzpatrick functions and continuous linear monotone operators. Zbl 1157.47034
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu
2007
Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings. Zbl 1181.49017
Bauschke, Heinz H.
2007
Primal-dual symmetric intrinsic methods for finding antiderivatives of cyclically monotone operators. Zbl 1189.47050
Bauschke, Heinz H.; Lucet, Yves; Wang, Xianfu
2007
A convex-analytical approach to extension results for $$n$$-cyclically monotone operators. Zbl 1133.47037
Bauschke, Heinz H.; Wang, Xianfu
2007
Extrapolation algorithm for affine-convex feasibility problems. Zbl 1098.65060
Bauschke, Heinz H.; Combettes, Patrick L.; Kruk, Serge G.
2006
...and 37 more Documents
all top 5

### Cited by 2,618 Authors

 90 Bauschke, Heinz H. 65 Reich, Simeon 61 Wang, Shawn Xianfu 51 Boţ, Radu Ioan 48 Kumam, Poom 47 Combettes, Patrick L. 46 Yao, Jen-Chih 45 Shehu, Yekini 40 Dong, Qiaoli 40 Yao, Yonghong 38 Censor, Yair 37 Cho, Yeol Je 36 Csetnek, Ernö Robert 33 Attouch, Hedy 33 Cholamjiak, Prasit 32 Gibali, Aviv 32 Liou, Yeongcheng 29 Borwein, Jonathan Michael 29 Suantai, Suthep 28 Zegeye, Habtu 27 Dang Van Hieu 27 He, Songnian 27 Iiduka, Hideaki 27 Mewomo, Oluwatosin Temitope 25 Qin, Xiaolong 25 Zaslavski, Alexander Yakovlevich 24 Tam, Matthew K. 23 Trương Minh Tuyên 22 Kang, Shin Min 22 Luke, David Russell 21 Jolaoso, Lateef Olakunle 21 Tang, Yuchao 20 Cegielski, Andrzej 20 Moursi, Walaa M. 20 Phan, Hung M. 19 Rehman, Habib Ur 18 Iyiola, Olaniyi Samuel 18 Shahzad, Naseer 18 Wang, Fenghui 17 Dao, Minh Ngoc 16 Aragón Artacho, Francisco Javier 16 Briceño-Arias, Luis M. 16 Cholamjiak, Watcharaporn 16 Maingé, Paul-Emile 16 Xu, Hong-Kun 16 Yao, Liangjin 15 Chang, Shih-Sen 15 Chidume, Charles Ejike 15 Fadili, Jalal M. 15 Kruger, Alexander Y. 15 Mordukhovich, Boris S. 15 Peyré, Gabriel 15 Sahu, Daya Ram 15 Yamada, Isao 15 Yuan, Xiaoming 15 Zalas, Rafał 14 Bello Cruz, Jose Yunier 14 Dang, Yazheng 14 Han, Deren 14 Li, Guoyin 14 Pesquet, Jean-Christophe 14 Tran Dinh Quoc 14 Vuong, Phan Tu 14 Zhao, Jing 14 Zhou, Haiyun 13 Clason, Christian 13 Deutsch, Frank 13 Lim, Yongdo 13 Marino, Giuseppe 13 Naraghirad, Eskandar 13 Petrot, Narin 13 Peypouquet, Juan 13 Shen, Lixin 13 Vũ, Bằng Công 13 Xu, Yuesheng 12 Ali, Bashir 12 Ceng, Lu-Chuan 12 Izuchukwu, Chinedu 12 Kanzow, Christian 12 Pholasa, Nattawut 12 Sabach, Shoham 12 Thao, Nguyen Hieu 12 Yin, Wotao 11 Chen, Rudong 11 Dương Việt Thông 11 Hundal, Hein S. 11 Kumam, Wiyada 11 Patrinos, Panagiotis 11 Ugwunnadi, Godwin Chidi 11 Villa, Silvia 10 Burachik, Regina Sandra 10 Campoy, Rubén 10 Gao, Yan 10 Khan, Muhammad Aqeel Ahmad 10 Kohlenbach, Ulrich Wilhelm 10 Lindstrom, Scott B. 10 Pakkaranang, Nuttapol 10 Peng, Jigen 10 Toh, Kim Chuan 10 Wen, Chingfeng ...and 2,518 more Authors
all top 5

### Cited in 349 Serials

 160 Journal of Optimization Theory and Applications 132 SIAM Journal on Optimization 106 Optimization 105 Mathematical Programming. Series A. Series B 103 Fixed Point Theory and Applications 95 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 81 Computational Optimization and Applications 81 Set-Valued and Variational Analysis 79 Numerical Functional Analysis and Optimization 75 Journal of Mathematical Analysis and Applications 69 Journal of Global Optimization 67 Journal of Inequalities and Applications 66 Numerical Algorithms 59 Optimization Letters 49 Abstract and Applied Analysis 49 Journal of Fixed Point Theory and Applications 47 SIAM Journal on Imaging Sciences 36 Applied Mathematics and Computation 35 Inverse Problems 34 Optimization Methods & Software 33 Journal of Computational and Applied Mathematics 32 Thai Journal of Mathematics 31 Journal of Approximation Theory 26 Linear Algebra and its Applications 24 Journal of Convex Analysis 22 Computers & Mathematics with Applications 22 Computational and Applied Mathematics 21 Journal of Scientific Computing 21 Journal of Mathematical Imaging and Vision 19 Applied Mathematics and Optimization 18 Automatica 18 Filomat 18 Journal of Nonlinear and Variational Analysis 16 Mathematics of Operations Research 16 SIAM Journal on Control and Optimization 15 Advances in Computational Mathematics 15 Journal of Applied Mathematics 15 Journal of Nonlinear Science and Applications 14 Proceedings of the American Mathematical Society 14 Vietnam Journal of Mathematics 14 Journal of Function Spaces 12 Operations Research Letters 12 European Journal of Operational Research 12 SIAM Journal on Scientific Computing 11 Applied and Computational Harmonic Analysis 11 Foundations of Computational Mathematics 11 Journal of Machine Learning Research (JMLR) 11 Journal of Applied Mathematics and Computing 11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 11 Fixed Point Theory and Algorithms for Sciences and Engineering 10 Rendiconti del Circolo Matemàtico di Palermo. Serie II 10 Transactions of the American Mathematical Society 10 Journal of Industrial and Management Optimization 9 Journal of Differential Equations 9 Applied Numerical Mathematics 9 Machine Learning 9 Mathematical Problems in Engineering 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Positivity 9 Nonlinear Functional Analysis and Applications 9 Advances in Difference Equations 9 SIAM Journal on Mathematics of Data Science 8 Mathematical Methods of Operations Research 8 Journal of Mathematics 7 Israel Journal of Mathematics 7 Calcolo 7 Demonstratio Mathematica 7 International Journal of Mathematics and Mathematical Sciences 7 SIAM Journal on Numerical Analysis 7 Set-Valued Analysis 7 Acta Mathematica Sinica. English Series 7 Optimization and Engineering 7 Inverse Problems and Imaging 6 Applicable Analysis 6 Bulletin of the Australian Mathematical Society 6 Acta Mathematica Vietnamica 6 Advances in Mathematics 6 Numerische Mathematik 6 Systems & Control Letters 6 Bulletin of the Iranian Mathematical Society 6 Mathematical and Computer Modelling 6 Cybernetics and Systems Analysis 6 Analysis and Applications (Singapore) 6 Journal of the Operations Research Society of China 5 Results in Mathematics 5 Journal of Inverse and Ill-Posed Problems 5 International Transactions in Operational Research 5 Mediterranean Journal of Mathematics 5 Acta Numerica 5 Asian-European Journal of Mathematics 5 Afrika Matematika 5 Numerical Algebra, Control and Optimization 5 AIMS Mathematics 4 Acta Applicandae Mathematicae 4 Journal of the American Mathematical Society 4 SIAM Journal on Matrix Analysis and Applications 4 SIAM Review 4 The Journal of Fourier Analysis and Applications 4 Journal of the Australian Mathematical Society 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series ...and 249 more Serials
all top 5

### Cited in 57 Fields

 1,377 Operations research, mathematical programming (90-XX) 1,360 Operator theory (47-XX) 974 Numerical analysis (65-XX) 698 Calculus of variations and optimal control; optimization (49-XX) 157 Computer science (68-XX) 146 Functional analysis (46-XX) 141 Information and communication theory, circuits (94-XX) 95 Convex and discrete geometry (52-XX) 86 General topology (54-XX) 76 Real functions (26-XX) 75 Approximations and expansions (41-XX) 75 Statistics (62-XX) 73 Linear and multilinear algebra; matrix theory (15-XX) 69 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Systems theory; control (93-XX) 45 Ordinary differential equations (34-XX) 42 Partial differential equations (35-XX) 36 Biology and other natural sciences (92-XX) 34 Global analysis, analysis on manifolds (58-XX) 29 Dynamical systems and ergodic theory (37-XX) 27 Probability theory and stochastic processes (60-XX) 20 Mathematical logic and foundations (03-XX) 20 Differential geometry (53-XX) 16 Mechanics of deformable solids (74-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Combinatorics (05-XX) 11 Fluid mechanics (76-XX) 10 Algebraic geometry (14-XX) 9 Optics, electromagnetic theory (78-XX) 8 Quantum theory (81-XX) 7 Measure and integration (28-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Integral equations (45-XX) 6 Mechanics of particles and systems (70-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Integral transforms, operational calculus (44-XX) 4 General and overarching topics; collections (00-XX) 4 Difference and functional equations (39-XX) 4 Geometry (51-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 2 Algebraic topology (55-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX)