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Author ID: bauschke.heinz-h Recent zbMATH articles by "Bauschke, Heinz H."
Published as: Bauschke, Heinz H.; Bauschke, H. H.; Bauschke, Heinz; Bauschke, Heinz G.
Homepage: https://cmps-people.ok.ubc.ca/bauschke/
External Links: MGP · ORCID · Google Scholar · dblp
all top 5

Co-Authors

9 single-authored
81 Wang, Shawn Xianfu
24 Moursi, Walaa M.
19 Borwein, Jonathan Michael
15 Combettes, Patrick L.
13 Yao, Liangjin
12 Phan, Hung M.
7 Dao, Minh Ngoc
7 Luke, David Russell
7 Noll, Dominikus
7 Ouyang, Hui
6 Lucet, Yves
6 Moffat, Sarah M.
6 Singh, Shambhavi
5 Alwadani, Salihah
5 Bartz, Sedi
5 Burachik, Regina Sandra
5 Krishan Lal, Manish
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 Nghia, Tran Thai An
3 Reich, Simeon
3 Wang, Caifang
3 Wolkowicz, Henry
3 Xu, Jia
2 Bello Cruz, Jose Yunier
2 Bendit, Theo
2 Bolte, Jérôme
2 Gretchko, Sylvain
2 Kaya, C. Yalçin
2 Kruk, Serge G.
2 Macklem, Mason S.
2 Mordukhovich, Boris S.
2 Park, Sung Ho
2 Revalski, Julian Petrov
2 Sagastizábal, Claudia A.
2 Sendov, Hristo S.
2 Teboulle, Marc
2 Trienis, Michael
2 Vanderwerff, Jon D.
2 Ye, Jane J.
2 Yuan, Xiaoming
1 Bailey, David Harold
1 Bello Cruz, Yunier Y.
1 Borwein, Peter Benjamin
1 Boţ, Radu Ioan
1 Burke, James V.
1 DiBerardino, Peter A. V.
1 Douglas, Graeme R.
1 Edwards, McLean R.
1 Elser, Veit
1 Garvan, Frank G.
1 Goebel, Rafal
1 Güler, Osman
1 Herman, Daniel B.
1 Hoàng Xuân Phù
1 Huynh Van Ngai
1 Iorio, Francesco
1 Kopecká, Eva
1 Li, Wu
1 Lukens, Brett
1 Mao, Dayou
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 Wang, Hansen
1 Wylie, Calvin J. S.
all top 5

Serials

16 SIAM Journal on Optimization
12 Set-Valued and Variational Analysis
10 Journal of Approximation Theory
10 Mathematical Programming. Series A. Series B
9 Journal of Convex Analysis
6 Proceedings of the American Mathematical Society
5 Journal of Mathematical Analysis and Applications
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Optimization Letters
4 Journal of Optimization Theory and Applications
4 Mathematics of Operations Research
4 SIAM Journal on Control and Optimization
3 Transactions of the American Mathematical Society
3 Journal of Global Optimization
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 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 Numerical Functional Analysis and Optimization
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

Publications by Year

Citations contained in zbMATH Open

148 Publications have been cited 6,193 times in 3,663 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.
761
1996
Convex analysis and monotone operator theory in Hilbert spaces. 2nd edition. Zbl 1359.26003
Bauschke, Heinz H.; Combettes, Patrick L.
544
2017
A weak-to-strong convergence principle for Fejér-monotone methods in Hilbert spaces. Zbl 1082.65058
Bauschke, Heinz H.; Combettes, Patrick L.
255
2001
The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space. Zbl 0956.47024
Bauschke, Heinz H.
209
1996
Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces. Zbl 1032.49025
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
186
2001
Projection and proximal point methods: Convergence results and counterexamples. Zbl 1059.47060
Bauschke, Heinz H.; Matoušková, Eva; Reich, Simeon
148
2004
Legendre functions and the method of random Bregman projections. Zbl 0894.49019
Bauschke, Heinz G.; Borwein, Jonathan M.
146
1997
Bregman monotone optimization algorithms. Zbl 1049.90053
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
136
2003
A descent lemma beyond Lipschitz gradient continuity: first-order methods revisited and applications. Zbl 1364.90251
Bauschke, Heinz H.; Bolte, Jérôme; Teboulle, Marc
120
2017
On the convergence of von Neumann’s alternating projection algorithm for two sets. Zbl 0801.47042
Bauschke, H. H.; Borwein, J. M.
119
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
110
1999
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
77
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.
69
1997
Dykstra’s alternating projection algorithm for two sets. Zbl 0833.46011
Bauschke, H. H.; Borwein, J. M.
65
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
55
2014
Linear and strong convergence of algorithms involving averaged nonexpansive operators. Zbl 1297.65060
Bauschke, Heinz H.; Noll, Dominikus; Phan, Hung M.
52
2015
The asymptotic behavior of the composition of two resolvents. Zbl 1075.47033
Bauschke, Heinz H.; Combettes, Patrick L.; Reich, Simeon
44
2005
The proximal average: Basic theory. Zbl 1172.26003
Bauschke, Heinz H.; Goebel, Rafal; Lucet, Yves; Wang, Xianfu
43
2008
Accelerating the convergence of the method of alternating projections. Zbl 1033.41019
Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein; Park, Sung-Ho
42
2003
Projection methods: Swiss army knives for solving feasibility and best approximation problems with halfspaces. Zbl 1325.65080
Bauschke, Heinz H.; Koch, Valentin R.
39
2015
Construction of best Bregman approximations in reflexive Banach spaces. Zbl 1040.41016
Bauschke, Heinz H.; Combettes, Patrick L.
38
2003
Hyperbolic polynomials and convex analysis. Zbl 0974.90015
Bauschke, Heinz H.; Güler, Osman; Lewis, Adrian S.; Sendov, Hristo S.
38
2001
On the Douglas-Rachford algorithm. Zbl 06751028
Bauschke, Heinz H.; Moursi, Walaa M.
35
2017
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
Extrapolation algorithm for affine-convex feasibility problems. Zbl 1098.65060
Bauschke, Heinz H.; Combettes, Patrick L.; Kruk, Serge G.
34
2006
Restricted normal cones and the method of alternating projections: theory. Zbl 1272.49027
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
33
2013
Dykstra’s algorithm with Bregman projections: A convergence proof. Zbl 0992.90052
Bauschke, Heinz H.; Lewis, Adrian S.
33
2000
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
31
2011
Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality. Zbl 1263.47066
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
29
2012
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.
27
2005
On the local convergence of the Douglas-Rachford algorithm. Zbl 1344.47044
Bauschke, H. H.; Noll, D.
27
2014
Characterizing arbitrarily slow convergence in the method of alternating projections. Zbl 1208.47079
Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein
27
2009
Fitzpatrick functions: inequalities, examples, and remarks on a problem by S. Fitzpatrick. Zbl 1117.26011
Bauschke, Heinz H.; McLaren, D. Alexander; Sendov, Hristo S.
26
2006
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
25
2009
Fitzpatrick functions and continuous linear monotone operators. Zbl 1157.47034
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu
25
2007
Joint minimization with alternating Bregman proximity operators. Zbl 1124.90019
Bauschke, Heinz H.; Combettes, Patrick L.; Noll, Dominikus
24
2006
Attouch-Théra duality revisited: Paramonotonicity and operator splitting. Zbl 1254.47031
Bauschke, Heinz H.; Boţ, Radu I.; Hare, Warren L.; Moursi, Walaa M.
24
2012
Restricted normal cones and sparsity optimization with affine constraints. Zbl 1298.49047
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
24
2014
Bounded linear regularity, strong CHIP, and CHIP are distinct properties. Zbl 0964.90032
Bauschke, Heinz H.; Borwein, Jonathan M.; Tseng, Paul
24
2000
The Douglas-Rachford algorithm for two (not necessarily intersecting) affine subspaces. Zbl 1341.47064
Bauschke, Heinz H.; Moursi, Walaa M.
23
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
23
2016
Joint and separate convexity of the Bregman distance. Zbl 1160.65319
Bauschke, Heinz H.; Borwein, Jonathan M.
23
2001
Reflection-projection method for convex feasibility problems with an obtuse cone. Zbl 1136.90432
Bauschke, H. H.; Kruk, S. G.
22
2004
How to transform one convex function continuously into another. Zbl 1145.90050
Bauschke, Heinz H.; Lucet, Yves; Trienis, Michael
22
2008
A Dykstra-like algorithm for two monotone operators. Zbl 1176.47051
Bauschke, Heinz H.; Combettes, Patrick L.
22
2008
The composition of projections onto closed convex sets in Hilbert space is asymptotically regular. Zbl 1016.47038
Bauschke, Heinz H.
21
2003
Restricted normal cones and the method of alternating projections: applications. Zbl 1349.65191
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
20
2013
Monotone linear relations: maximality and Fitzpatrick functions. Zbl 1193.47004
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
20
2009
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
19
2006
The Baillon-Haddad theorem revisited. Zbl 1208.47046
Bauschke, H. H.; Combettes, P. L.
19
2010
Bregman distances and Chebyshev sets. Zbl 1175.49017
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming
19
2009
Generalized monotone operators and their averaged resolvents. Zbl 1515.47068
Bauschke, Heinz H.; Moursi, Walaa M.; Wang, Xianfu
19
2021
A norm convergence result on random products of relaxed projections in Hilbert space. Zbl 0832.47055
Bauschke, H. H.
18
1995
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.
17
2009
The resolvent average for positive semidefinite matrices. Zbl 1191.15024
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
17
2010
Projection algorithms: Results and open problems. Zbl 0991.65050
Bauschke, Heinz H.
17
2001
Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings. Zbl 1181.49017
Bauschke, Heinz H.
16
2007
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.
16
2017
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
16
2019
Primal-dual symmetric intrinsic methods for finding antiderivatives of cyclically monotone operators. Zbl 1189.47050
Bauschke, Heinz H.; Lucet, Yves; Wang, Xianfu
16
2007
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.
15
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.
15
2016
Generalized solutions for the sum of two maximally monotone operators. Zbl 1297.47055
Bauschke, Heinz H.; Hare, Warren L.; Moursi, Walaa M.
15
2014
On circumcenters of finite sets in Hilbert spaces. Zbl 1456.51008
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
15
2018
The Douglas-Rachford algorithm in the affine-convex case. Zbl 1408.90231
Bauschke, Heinz H.; Dao, Minh N.; Moursi, Walaa M.
14
2016
The resolvent average of monotone operators: dominant and recessive properties. Zbl 1357.47053
Bartz, Sedi; Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
13
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
13
2012
The piecewise linear-quadratic model for computational convex analysis. Zbl 1186.90089
Lucet, Yves; Bauschke, Heinz H.; Trienis, Mike
13
2009
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.
13
1999
Regularizing with Bregman-Moreau envelopes. Zbl 1409.90138
Bauschke, Heinz H.; Dao, Minh N.; Lindstrom, Scott B.
12
2018
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
12
2014
On the range of the Douglas-Rachford operator. Zbl 1350.47035
Bauschke, Heinz H.; Hare, Warren L.; Moursi, Walaa M.
12
2016
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
12
2013
On circumcenter mappings induced by nonexpansive operators. Zbl 1491.47042
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
12
2021
On Borwein-Wiersma decompositions of monotone linear relations. Zbl 1215.47006
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
12
2010
Projecting onto the intersection of a cone and a sphere. Zbl 06913575
Bauschke, Heinz H.; Bui, Minh N.; Wang, Xianfu
11
2018
Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory. Zbl 1247.47028
Bauschke, Heinz H.; Wang, Xianfu
11
2010
Iterating Bregman retractions. Zbl 1037.90048
Bauschke, Heinz H.; Combettes, Patrick L.
11
2003
Autoconjugate representers for linear monotone operators. Zbl 1185.47050
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
11
2010
On the order of the operators in the Douglas-Rachford algorithm. Zbl 1346.47015
Bauschke, Heinz H.; Moursi, Walaa M.
10
2016
On subgradient projectors. Zbl 1316.47043
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia
10
2015
On the linear convergence of circumcentered isometry methods. Zbl 07340125
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
10
2021
On Fejér monotone sequences and nonexpansive mappings. Zbl 1338.47060
Bauschke, Heinz H.; Dao, Minh N.; Moursi, Walaa M.
9
2015
Circumcentered methods induced by isometries. Zbl 07341166
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
9
2020
The method of alternating relaxed projections for two nonconvex sets. Zbl 1312.65092
Bauschke, Heinz H.; Phan, Hung M.; Wang, Xianfu
8
2014
Affine nonexpansive operators, Attouch-Théra duality and the Douglas-Rachford algorithm. Zbl 06804490
Bauschke, Heinz H.; Lukens, Brett; Moursi, Walaa M.
8
2017
New demiclosedness principles for (firmly) nonexpansive operators. Zbl 1297.47059
Bauschke, Heinz H.
8
2013
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
8
2010
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
8
2009
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
8
2011
The Brezis-Browder theorem in a general Banach space. Zbl 1259.47065
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin
8
2012
On the finite convergence of a projected cutter method. Zbl 1353.90108
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia
7
2015
Symbolic computation of Fenchel conjugates. Zbl 1369.68356
Bauschke, Heinz H.; v. Mohrenschildt, Martin
7
2006
On the asymptotic behaviour of the Aragón Artacho-Campoy algorithm. Zbl 1481.47079
Alwadani, Salihah; Bauschke, Heinz H.; Moursi, Walaa M.; Wang, Xianfu
6
2018
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.
6
2016
On the convexity of piecewise-defined functions. Zbl 1356.26005
Bauschke, Heinz H.; Lucet, Yves; Phan, Hung M.
6
2016
Conical open mapping theorems and regularity. Zbl 1193.90167
Bauschke, Heinz H.; Borwein, Jonathan M.
6
1999
The Douglas-Rachford algorithm for a hyperplane and a doubleton. Zbl 1474.49065
Bauschke, Heinz H.; Dao, Minh N.; Lindstrom, Scott B.
5
2019
Bregman distances and Klee sets. Zbl 1172.52005
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming
5
2009
On Carlier’s inequality. Zbl 07733430
Bauschke, Heinz H.; Singh, Shambhavi; Wang, Xianfu
3
2023
The splitting algorithms by Ryu, by Malitsky-Tam, and by Campoy applied to normal cones of linear subspaces converge strongly to the projection onto the intersection. Zbl 1532.41029
Bauschke, Heinz H.; Singh, Shambhavi; Wang, Xianfu
2
2023
Directional asymptotics of Fejér monotone sequences. Zbl 1515.90098
Bauschke, Heinz H.; Krishan Lal, Manish; Wang, Xianfu
2
2023
The homogenization cone: polar cone and projection. Zbl 1522.90086
Bauschke, Heinz H.; Bendit, Theo; Wang, Hansen
1
2023
Best approximation mappings in Hilbert spaces. Zbl 1504.90196
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
5
2022
The Bregman proximal average. Zbl 1501.49013
Wang, Xianfu; Bauschke, Heinz H.
2
2022
The projection onto the cross. Zbl 1500.90051
Bauschke, Heinz H.; Lal, Manish Krishan; Wang, Xianfu
1
2022
Generalized monotone operators and their averaged resolvents. Zbl 1515.47068
Bauschke, Heinz H.; Moursi, Walaa M.; Wang, Xianfu
19
2021
On circumcenter mappings induced by nonexpansive operators. Zbl 1491.47042
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
12
2021
On the linear convergence of circumcentered isometry methods. Zbl 07340125
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
10
2021
Resolvents and Yosida approximations of displacement mappings of isometries. Zbl 1487.47080
Alwadani, Salihah; Bauschke, Heinz H.; Revalski, Julian P.; Wang, Xianfu
5
2021
Attouch-Théra duality, generalized cycles, and gap vectors. Zbl 07384486
Alwadani, Salihah; Bauschke, Heinz; Wang, Xianfu
4
2021
The difference vectors for convex sets and a resolution of the geometry conjecture. Zbl 1508.46015
Alwadani, Salihah; Bauschke, Heinz H.; Revalski, Julian P.; Wang, Xianfu
2
2021
On angles between convex sets in Hilbert spaces. Zbl 1514.52009
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
2
2021
Multi-marginal maximal monotonicity and convex analysis. Zbl 1521.47084
Bartz, Sedi; Bauschke, Heinz H.; Phan, Hung M.; Wang, Xianfu
1
2021
Circumcentered methods induced by isometries. Zbl 07341166
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
9
2020
Proximal averages for minimization of entropy functionals. Zbl 1466.65022
Bauschke, Heinz H.; Lindstrom, Scott B.
3
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.
3
2020
Applying FISTA to optimization problems (with or) without minimizers. Zbl 1451.90116
Bauschke, Heinz H.; Bui, Minh N.; Wang, Xianfu
3
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
2
2020
On the minimal displacement vector of compositions and convex combinations of nonexpansive mappings. Zbl 07290668
Bauschke, Heinz H.; Moursi, Walaa M.
2
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
16
2019
The Douglas-Rachford algorithm for a hyperplane and a doubleton. Zbl 1474.49065
Bauschke, Heinz H.; Dao, Minh N.; Lindstrom, Scott B.
5
2019
On sums and convex combinations of projectors onto convex sets. Zbl 1478.47043
Bauschke, Heinz H.; Bui, Minh N.; Wang, Xianfu
2
2019
Splitting algorithms, modern operator theory, and applications. Based on the workshop on splitting algorithms, modern operator theory, and applications, Oaxaca, Mexico, September 17–22, 2017. Dedicated to the memory of Jonathan M. Borwein. Zbl 1428.47001
1
2019
On circumcenters of finite sets in Hilbert spaces. Zbl 1456.51008
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
15
2018
Regularizing with Bregman-Moreau envelopes. Zbl 1409.90138
Bauschke, Heinz H.; Dao, Minh N.; Lindstrom, Scott B.
12
2018
Projecting onto the intersection of a cone and a sphere. Zbl 06913575
Bauschke, Heinz H.; Bui, Minh N.; Wang, Xianfu
11
2018
On the asymptotic behaviour of the Aragón Artacho-Campoy algorithm. Zbl 1481.47079
Alwadani, Salihah; Bauschke, Heinz H.; Moursi, Walaa M.; Wang, Xianfu
6
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.
5
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
4
2018
On Douglas-Rachford operators that fail to be proximal mappings. Zbl 1514.47092
Bauschke, Heinz H.; Schaad, Jason; Wang, Xianfu
3
2018
Subgradient projectors: extensions, theory, and characterizations. Zbl 1422.49014
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia
1
2018
Convex analysis and monotone operator theory in Hilbert spaces. 2nd edition. Zbl 1359.26003
Bauschke, Heinz H.; Combettes, Patrick L.
544
2017
A descent lemma beyond Lipschitz gradient continuity: first-order methods revisited and applications. Zbl 1364.90251
Bauschke, Heinz H.; Bolte, Jérôme; Teboulle, Marc
120
2017
On the Douglas-Rachford algorithm. Zbl 06751028
Bauschke, Heinz H.; Moursi, Walaa M.
35
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.
16
2017
Affine nonexpansive operators, Attouch-Théra duality and the Douglas-Rachford algorithm. Zbl 06804490
Bauschke, Heinz H.; Lukens, Brett; Moursi, Walaa M.
8
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
3
2017
The Douglas-Rachford algorithm for two (not necessarily intersecting) affine subspaces. Zbl 1341.47064
Bauschke, Heinz H.; Moursi, Walaa M.
23
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
23
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.
15
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.
15
2016
The Douglas-Rachford algorithm in the affine-convex case. Zbl 1408.90231
Bauschke, Heinz H.; Dao, Minh N.; Moursi, Walaa M.
14
2016
The resolvent average of monotone operators: dominant and recessive properties. Zbl 1357.47053
Bartz, Sedi; Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
13
2016
On the range of the Douglas-Rachford operator. Zbl 1350.47035
Bauschke, Heinz H.; Hare, Warren L.; Moursi, Walaa M.
12
2016
On the order of the operators in the Douglas-Rachford algorithm. Zbl 1346.47015
Bauschke, Heinz H.; Moursi, Walaa M.
10
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.
6
2016
On the convexity of piecewise-defined functions. Zbl 1356.26005
Bauschke, Heinz H.; Lucet, Yves; Phan, Hung M.
6
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.
3
2016
Linear and strong convergence of algorithms involving averaged nonexpansive operators. Zbl 1297.65060
Bauschke, Heinz H.; Noll, Dominikus; Phan, Hung M.
52
2015
Projection methods: Swiss army knives for solving feasibility and best approximation problems with halfspaces. Zbl 1325.65080
Bauschke, Heinz H.; Koch, Valentin R.
39
2015
On subgradient projectors. Zbl 1316.47043
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia
10
2015
On Fejér monotone sequences and nonexpansive mappings. Zbl 1338.47060
Bauschke, Heinz H.; Dao, Minh N.; Moursi, Walaa M.
9
2015
On the finite convergence of a projected cutter method. Zbl 1353.90108
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia
7
2015
A derivative-free comirror algorithm for convex optimization. Zbl 1328.90104
Bauschke, Heinz H.; Hare, Warren L.; Moursi, Walaa M.
4
2015
A Bregman projection method for approximating fixed points of quasi-Bregman nonexpansive mappings. Zbl 1309.47070
Bauschke, Heinz H.; Chen, Jiawei; Wang, Xianfu
4
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
55
2014
On the local convergence of the Douglas-Rachford algorithm. Zbl 1344.47044
Bauschke, H. H.; Noll, D.
27
2014
Restricted normal cones and sparsity optimization with affine constraints. Zbl 1298.49047
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu
24
2014
Generalized solutions for the sum of two maximally monotone operators. Zbl 1297.47055
Bauschke, Heinz H.; Hare, Warren L.; Moursi, Walaa M.
15
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
12
2014
The method of alternating relaxed projections for two nonconvex sets. Zbl 1312.65092
Bauschke, Heinz H.; Phan, Hung M.; Wang, Xianfu
8
2014
Rectangularity and paramonotonicity of maximally monotone operators. Zbl 1529.47091
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
5
2014
The method of cyclic intrepid projections: convergence analysis and numerical experiments. Zbl 1326.65065
Bauschke, Heinz H.; Iorio, Francesco; Koch, Valentin R.
3
2014
On moving averages. Zbl 1320.15031
Bauschke, Heinz H.; Sarada, Joshua; Wang, Xianfu
1
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
33
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
20
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
12
2013
New demiclosedness principles for (firmly) nonexpansive operators. Zbl 1297.47059
Bauschke, Heinz H.
8
2013
On cluster points of alternating projections. Zbl 1324.65095
Bauschke, Heinz H.; Noll, Dominikus
4
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
1
2013
Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality. Zbl 1263.47066
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
29
2012
Attouch-Théra duality revisited: Paramonotonicity and operator splitting. Zbl 1254.47031
Bauschke, Heinz H.; Boţ, Radu I.; Hare, Warren L.; Moursi, Walaa M.
24
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
13
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
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
5
2012
Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type. Zbl 1319.90077
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin
5
2012
Fixed points of averages of resolvents: geometry and algorithms. Zbl 1263.47064
Bauschke, Heinz H.; Wang, Xianfu; Wylie, Calvin J. S.
4
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
What is…a Fenchel conjugate? Zbl 1248.49047
Bauschke, Heinz H.; Lucet, Yves
3
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
31
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
8
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.
5
2011
Self-dual smooth approximations of convex functions via the proximal average. Zbl 1250.26015
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
4
2011
The Baillon-Haddad theorem revisited. Zbl 1208.47046
Bauschke, H. H.; Combettes, P. L.
19
2010
The resolvent average for positive semidefinite matrices. Zbl 1191.15024
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu
17
2010
On Borwein-Wiersma decompositions of monotone linear relations. Zbl 1215.47006
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
12
2010
Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory. Zbl 1247.47028
Bauschke, Heinz H.; Wang, Xianfu
11
2010
Autoconjugate representers for linear monotone operators. Zbl 1185.47050
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
11
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
8
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
1
2010
Characterizing arbitrarily slow convergence in the method of alternating projections. Zbl 1208.47079
Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein
27
2009
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
25
2009
Monotone linear relations: maximality and Fitzpatrick functions. Zbl 1193.47004
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin
20
2009
Bregman distances and Chebyshev sets. Zbl 1175.49017
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming
19
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.
17
2009
The piecewise linear-quadratic model for computational convex analysis. Zbl 1186.90089
Lucet, Yves; Bauschke, Heinz H.; Trienis, Mike
13
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
8
2009
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Cited by 3,395 Authors

102 Bauschke, Heinz H.
84 Reich, Simeon
78 Wang, Shawn Xianfu
66 Shehu, Yekini
65 Boţ, Radu Ioan
64 Kumam, Poom
57 Dong, Qiaoli
56 Yao, Jen-Chih
50 Combettes, Patrick L.
49 Cholamjiak, Prasit
44 Attouch, Hedy
44 Cho, Yeol Je
43 Yao, Yonghong
42 Gibali, Aviv
41 Censor, Yair
41 Mewomo, Oluwatosin Temitope
40 Csetnek, Ernö Robert
37 Dang Van Hieu
35 Jolaoso, Lateef Olakunle O.
35 Suantai, Suthep
35 Zegeye, Habtu
32 Liou, Yeongcheng
30 Borwein, Jonathan Michael
30 Qin, Xiaolong
29 Iyiola, Olaniyi Samuel
29 Tam, Matthew K.
29 Trương Minh Tuyên
28 He, Songnian
28 Iiduka, Hideaki
28 Tang, Yuchao
28 Zaslavski, Alexander Yakovlevich
26 Wang, Fenghui
25 Cholamjiak, Watcharaporn
24 Luke, David Russell
24 Rehman, Habib Ur
23 Moursi, Walaa M.
22 Cegielski, Andrzej
22 Dương Việt Thông
22 Fadili, Jalal M.
22 Kang, Shin Min
22 Mordukhovich, Boris S.
22 Shahzad, Naseer
21 Briceño-Arias, Luis M.
21 Izuchukwu, Chinedu
21 Phan, Hung M.
20 Aragón Artacho, Francisco Javier
20 Han, Deren
19 Dao, Minh Ngoc
19 Sahu, Daya Ram
18 Alakoya, Timilehin Opeyemi
18 Kanzow, Christian
18 Pesquet, Jean-Christophe
18 Tran Dinh Quoc
18 Ugwunnadi, Godwin Chidi
18 Vũ, Bằng Công
18 Xu, Hong-Kun
18 Zhao, Jing
17 Maingé, Paul-Emile
17 Peyré, Gabriel
17 Pholasa, Nattawut
17 Vuong, Phan Tu
17 Yao, Liangjin
17 Yuan, Xiaoming
17 Zalas, Rafał
16 Ali, Bashir
16 Chang, Shih-Sen
16 Chbani, Zaki
16 Li, Guoyin
16 Patrinos, Panagiotis
16 Sabach, Shoham
16 Shen, Lixin
16 Sunthrayuth, Pongsakorn
16 Villa, Silvia
16 Yamada, Isao
15 Burachik, Regina Sandra
15 Chidume, Charles Ejike
15 Deutsch, Frank
15 Kruger, Alexander Y.
15 Lê Dung Muu
15 Petrot, Narin
15 Riahi, Hassan
15 Xu, Yuesheng
14 Bello Cruz, Jose Yunier
14 Boikanyo, Oganeditse Aaron
14 Clason, Christian
14 Dang, Yazheng
14 Lindstrom, Scott B.
14 Peng, Jigen
14 Peypouquet, Juan
14 Zhou, Haiyun
13 Adly, Samir
13 Bello Cruz, Yunier Y.
13 Campoy, Rubén
13 Gebrie, Anteneh Getachew
13 Hundal, Hein S.
13 Iusem, Alfredo Noel
13 Khan, Muhammad Aqeel Ahmad
13 Kohlenbach, Ulrich Wilhelm
13 Kumam, Wiyada
13 Li, Xiaohuan
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