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Combettes, Patrick L.

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Author ID: combettes.patrick-l Recent zbMATH articles by "Combettes, Patrick L."
Published as: Combettes, Patrick L.; Combettes, P. L.
External Links: MGP
Documents Indexed: 85 Publications since 1990, including 3 Books
all top 5

Serials

7 SIAM Journal on Optimization
6 Mathematical Programming. Series A. Series B
6 Set-Valued and Variational Analysis
5 Journal of Mathematical Analysis and Applications
5 SIAM Journal on Control and Optimization
4 Journal of Approximation Theory
4 Journal of Convex Analysis
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 IEEE Transactions on Signal Processing
2 Inverse Problems
2 Numerical Functional Analysis and Optimization
2 Optimization
2 Numerical Algorithms
2 Journal of Nonlinear and Convex Analysis
2 Pacific Journal of Optimization
2 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC
1 Applied Mathematics and Optimization
1 Journal of Functional Analysis
1 Journal of Optimization Theory and Applications
1 Mathematics of Operations Research
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 International Journal of Adaptive Control and Signal Processing
1 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Journal of Mathematical Imaging and Vision
1 Computational Optimization and Applications
1 Communications in Contemporary Mathematics
1 Multiscale Modeling & Simulation
1 Analysis and Applications (Singapore)
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Optimization Letters
1 Electronic Journal of Statistics
1 SIAM Journal on Imaging Sciences
1 Numerical Mathematics: Theory, Methods and Applications
1 Journal of Dynamics and Games
1 Advances in Nonlinear Analysis
1 Pure and Applied Functional Analysis
1 Springer Optimization and Its Applications

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 4,236 times in 2,570 Documents Cited by Year
Convex analysis and monotone operator theory in Hilbert spaces. Zbl 1218.47001
Bauschke, Heinz H.; Combettes, Patrick L.
776
2011
Equilibrium programming in Hilbert spaces. Zbl 1109.90079
Combettes, Patrick L.; Hirstoaga, Sever A.
549
2005
Signal recovery by proximal forward-backward splitting. Zbl 1179.94031
Combettes, Patrick L.; Wajs, Valérie R.
489
2005
Proximal splitting methods in signal processing. Zbl 1242.90160
Combettes, Patrick L.; Pesquet, Jean-Christophe
239
2011
A weak-to-strong convergence principle for Fejér-monotone methods in Hilbert spaces. Zbl 1082.65058
Bauschke, Heinz H.; Combettes, Patrick L.
201
2001
Solving monotone inclusions via compositions of nonexpansive averaged operators. Zbl 1153.47305
Combettes, Patrick L.
187
2004
Convex analysis and monotone operator theory in Hilbert spaces. 2nd edition. Zbl 1359.26003
Bauschke, Heinz H.; Combettes, Patrick L.
169
2017
Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces. Zbl 1032.49025
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
108
2001
Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum type monotone operators. Zbl 1284.47043
Combettes, Patrick L.; Pesquet, Jean-Christophe
95
2012
Bregman monotone optimization algorithms. Zbl 1049.90053
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
90
2003
A monotone+skew splitting model for composite monotone inclusions in duality. Zbl 1239.47053
Briceño-Arias, Luis M.; Combettes, Patrick L.
86
2011
Hilbertian convex feasibility problem: Convergence of projection methods. Zbl 0872.90069
Combettes, P. L.
72
1997
Quasi-Fejérian analysis of some optimization algorithms. Zbl 0992.65065
Combettes, Patrick L.
67
2001
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
64
2004
Iterative construction of the resolvent of a sum of maximal monotone operators. Zbl 1193.47067
Combettes, Patrick L.
56
2009
A block-iterative surrogate constraint splitting method for quadratic signal recovery. Zbl 1369.94121
Combettes, Patrick L.
52
2003
On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints. Zbl 1244.90155
Censor, Yair; Chen, Wei; Combettes, Patrick L.; Davidi, Ran; Herman, Gabor T.
49
2012
A parallel splitting method for coupled monotone inclusions. Zbl 1218.47089
Attouch, Hédy; Briceño-Arias, Luis M.; Combettes, Patrick L.
45
2010
Proximal thresholding algorithm for minimization over orthonormal bases. Zbl 1167.90011
Combettes, Patrick L.; Pesquet, Jean-Christophe
42
2007
Variable metric forward-backward splitting with applications to monotone inclusions in duality. Zbl 1309.90109
Combettes, Patrick L.; Vũ, Băng C.
40
2014
Stochastic quasi-Fejér block-coordinate fixed point iterations with random sweeping. Zbl 1317.65135
Combettes, Patrick L.; Pesquet, Jean-Christophe
39
2015
The asymptotic behavior of the composition of two resolvents. Zbl 1075.47033
Bauschke, Heinz H.; Combettes, Patrick L.; Reich, Simeon
36
2005
A proximal decomposition method for solving convex variational inverse problems. Zbl 1154.49025
Combettes, Patrick L.; Pesquet, Jean-Christophe
33
2008
Construction of best Bregman approximations in reflexive Banach spaces. Zbl 1040.41016
Bauschke, Heinz H.; Combettes, Patrick L.
30
2003
Extrapolation algorithm for affine-convex feasibility problems. Zbl 1098.65060
Bauschke, Heinz H.; Combettes, Patrick L.; Kruk, Serge G.
30
2006
Compositions and convex combinations of averaged nonexpansive operators. Zbl 1322.47051
Combettes, Patrick L.; Yamada, Isao
28
2015
A variational formulation for frame-based inverse problems. Zbl 1141.65366
Chaux, Caroline; Combettes, Patrick L.; Pesquet, Jean-Christophe; Wajs, Valérie R.
28
2007
Method of successive projections for finding a common point of sets in metric spaces. Zbl 0696.90052
Combettes, P. L.; Trussell, H. J.
26
1990
Dualization of signal recovery problems. Zbl 1229.90123
Combettes, Patrick L.; Dũng, Đinh; Vũ, Băng Công
24
2010
Systems of structured monotone inclusions: duality, algorithms, and applications. Zbl 1314.47105
Combettes, Patrick L.
24
2013
Generalized Mann iterates for constructing fixed points in Hilbert spaces. Zbl 1032.47034
Combettes, Patrick L.; Pennanen, Teemu
23
2002
Strong convergence of block-iterative outer approximation methods for convex optimization. Zbl 1032.90023
Combettes, Patrick L.
22
2000
Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions. Zbl 06857174
Combettes, Patrick L.; Eckstein, Jonathan
21
2018
Construction of a common fixed point of firmly nonexpansive mappings. (Construction d’un point fixe commun à une famille de constractions fermes.) Zbl 0830.65047
Combettes, Patrick L.
20
1995
Solving coupled composite monotone inclusions by successive Fejér approximations of their Kuhn-Tucker set. Zbl 1315.47057
Alotaibi, Abdullah; Combettes, Patrick L.; Shahzad, Naseer
19
2014
A Dykstra-like algorithm for two monotone operators. Zbl 1176.47051
Bauschke, Heinz H.; Combettes, Patrick L.
19
2008
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
18
2006
Hard-constrained inconsistent signal feasibility problems. Zbl 0979.94016
Combettes, Patrick L.; Bondon, Pascal
18
1999
Joint minimization with alternating Bregman proximity operators. Zbl 1124.90019
Bauschke, Heinz H.; Combettes, Patrick L.; Noll, Dominikus
18
2006
Variable metric quasi-Fejér monotonicity. Zbl 1266.65087
Combettes, Patrick L.; Vũ, Băng C.
18
2013
Proximity for sums of composite functions. Zbl 1223.47120
Combettes, Patrick L.; Dũng, Đinh; Vũ, Bàng Công
17
2011
Monotone operator methods for Nash equilibria in non-potential games. Zbl 1284.91014
Briceño-Arias, Luis M.; Combettes, Patrick L.
17
2013
Proximal methods for cohypomonotone operators. Zbl 1078.47003
Combettes, Patrick L.; Pennanen, Teemu
15
2004
Stochastic approximations and perturbations in forward-backward splitting for monotone operators. Zbl 1377.90109
Combettes, Patrick L.; Pesquet, Jean-Christophe
15
2016
The Baillon-Haddad theorem revisited. Zbl 1208.47046
Bauschke, H. H.; Combettes, P. L.
14
2010
Quasi-nonexpansive iterations on the affine hull of orbits: from Mann’s mean value algorithm to inertial methods. Zbl 1378.65119
Combettes, Patrick L.; Glaudin, Lilian E.
12
2017
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
Bauschke, Heinz H. (ed.); Burachik, Regina S. (ed.); Combettes, Patrick L. (ed.); Elser, Veit (ed.); Luke, D. Russell (ed.); Wolkowicz, Henry (ed.)
12
2011
A primal-dual method of partial inverses for composite inclusions. Zbl 1334.90122
Alghamdi, Maryam A.; Alotaibi, Abdullah; Combettes, Patrick L.; Shahzad, Naseer
11
2014
There is no variational characterization of the cycles in the method of periodic projections. Zbl 1241.46015
Baillon, J.-B.; Combettes, P. L.; Cominetti, R.
10
2012
Proximal algorithms for multicomponent image recovery problems. Zbl 1255.68213
Briceño-Arias, L. M.; Combettes, P. L.; Pesquet, J.-C.; Pustelnik, N.
10
2011
Consistent learning by composite proximal thresholding. Zbl 1386.68126
Combettes, Patrick L.; Salzo, Saverio; Villa, Silvia
9
2018
An algorithm for splitting parallel sums of linearly composed monotone operators, with applications to signal recovery. Zbl 1293.47059
Becker, Stephen R.; Combettes, Patrick L.
9
2014
Convex variational formulation with smooth coupling for multicomponent signal decomposition and recovery. Zbl 1201.94021
Briceño-Arias, Luis M.; Combettes, Patrick L.
8
2009
Monotone operator theory in convex optimization. Zbl 06903336
Combettes, Patrick L.
8
2018
Approximating curves for nonexpansive and monotone operators. Zbl 1115.47042
Combettes, Patrick L.; Hirstoaga, Sever A.
7
2006
Regularized learning schemes in feature Banach spaces. Zbl 1378.62015
Combettes, Patrick L.; Salzo, Saverio; Villa, Silvia
7
2018
Best approximation from the Kuhn-Tucker set of composite monotone inclusions. Zbl 1337.47084
Alotaibi, Abdullah; Combettes, Patrick L.; Shahzad, Naseer
7
2015
A strongly convergent primal-dual method for nonoverlapping domain decomposition. Zbl 1345.49040
Attouch, Hédy; Briceño-Arias, Luis M.; Combettes, Patrick L.
7
2016
Perspective functions: proximal calculus and applications in high-dimensional statistics. Zbl 1375.65083
Combettes, Patrick L.; Müller, Christian L.
7
2018
Proximal activation of smooth functions in splitting algorithms for convex image recovery. Zbl 1443.90269
Combettes, Patrick L.; Glaudin, Lilian E.
7
2019
Solving composite monotone inclusions in reflexive Banach spaces by constructing best Bregman approximations from their Kuhn-Tucker set. Zbl 1348.49013
Combettes, Patrick L.; van Nguyen, Quang
6
2016
Iterating Bregman retractions. Zbl 1037.90048
Bauschke, Heinz H.; Combettes, Patrick L.
6
2003
A bound for the zeros of polynomials. Zbl 0753.30004
Žilović, M. S.; Roytman, L. M.; Combettes, P. L.; Swamy, M. N. S.
5
1992
Functions with prescribed best linear approximations. Zbl 1196.41016
Combettes, Patrick L.; Reyes, Noli N.
5
2010
Visco-penalization of the sum of two monotone operators. Zbl 1168.47040
Combettes, Patrick L.; Hirstoaga, Sever A.
5
2008
Iterations of parallel convex projections in Hilbert spaces. Zbl 0814.46064
Combettes, Patrick L.; Puh, Hong
4
1994
Wavelet-constrained image restoration. Zbl 1121.94007
Combettes, Patrick L.; Pesquet, Jean-Christophe
4
2004
Perspective functions: properties, constructions, and examples. Zbl 1396.26021
Combettes, Patrick L.
4
2018
Deep neural network structures solving variational inequalities. Zbl 1448.49014
Combettes, Patrick L.; Pesquet, Jean-Christophe
4
2020
A convex programming algorithm for noisy discrete tomography. Zbl 1130.65124
Capricelli, T. D.; Combettes, P. L.
3
2007
Asymptotic behavior of compositions of under-relaxed nonexpansive operators. Zbl 1354.47033
Baillon, Jean-Bernard; Combettes, Patrick L.; Cominetti, Roberto
3
2014
Moreau’s decomposition in Banach spaces. Zbl 1268.49032
Combettes, Patrick L.; Reyes, Noli N.
3
2013
Classification and regression using an outer approximation projection-gradient method. Zbl 1414.94052
Barlaud, Michel; Belhajali, Wafa; Combettes, Patrick L.; Fillatre, Lionel
2
2017
Warped proximal iterations for monotone inclusions. Zbl 07244673
Bùi, Minh N.; Combettes, Patrick L.
1
2020
The Douglas-Rachford algorithm converges only weakly. Zbl 1443.47058
Bùi, Minh N.; Combettes, Patrick L.
1
2020
Stochastic quasi-Fejér block-coordinate fixed point iterations with random sweeping. II: Mean-square and linear convergence. Zbl 07047597
Combettes, Patrick L.; Pesquet, Jean-Christophe
1
2019
Deep neural network structures solving variational inequalities. Zbl 1448.49014
Combettes, Patrick L.; Pesquet, Jean-Christophe
4
2020
Warped proximal iterations for monotone inclusions. Zbl 07244673
Bùi, Minh N.; Combettes, Patrick L.
1
2020
The Douglas-Rachford algorithm converges only weakly. Zbl 1443.47058
Bùi, Minh N.; Combettes, Patrick L.
1
2020
Proximal activation of smooth functions in splitting algorithms for convex image recovery. Zbl 1443.90269
Combettes, Patrick L.; Glaudin, Lilian E.
7
2019
Stochastic quasi-Fejér block-coordinate fixed point iterations with random sweeping. II: Mean-square and linear convergence. Zbl 07047597
Combettes, Patrick L.; Pesquet, Jean-Christophe
1
2019
Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions. Zbl 06857174
Combettes, Patrick L.; Eckstein, Jonathan
21
2018
Consistent learning by composite proximal thresholding. Zbl 1386.68126
Combettes, Patrick L.; Salzo, Saverio; Villa, Silvia
9
2018
Monotone operator theory in convex optimization. Zbl 06903336
Combettes, Patrick L.
8
2018
Regularized learning schemes in feature Banach spaces. Zbl 1378.62015
Combettes, Patrick L.; Salzo, Saverio; Villa, Silvia
7
2018
Perspective functions: proximal calculus and applications in high-dimensional statistics. Zbl 1375.65083
Combettes, Patrick L.; Müller, Christian L.
7
2018
Perspective functions: properties, constructions, and examples. Zbl 1396.26021
Combettes, Patrick L.
4
2018
Convex analysis and monotone operator theory in Hilbert spaces. 2nd edition. Zbl 1359.26003
Bauschke, Heinz H.; Combettes, Patrick L.
169
2017
Quasi-nonexpansive iterations on the affine hull of orbits: from Mann’s mean value algorithm to inertial methods. Zbl 1378.65119
Combettes, Patrick L.; Glaudin, Lilian E.
12
2017
Classification and regression using an outer approximation projection-gradient method. Zbl 1414.94052
Barlaud, Michel; Belhajali, Wafa; Combettes, Patrick L.; Fillatre, Lionel
2
2017
Stochastic approximations and perturbations in forward-backward splitting for monotone operators. Zbl 1377.90109
Combettes, Patrick L.; Pesquet, Jean-Christophe
15
2016
A strongly convergent primal-dual method for nonoverlapping domain decomposition. Zbl 1345.49040
Attouch, Hédy; Briceño-Arias, Luis M.; Combettes, Patrick L.
7
2016
Solving composite monotone inclusions in reflexive Banach spaces by constructing best Bregman approximations from their Kuhn-Tucker set. Zbl 1348.49013
Combettes, Patrick L.; van Nguyen, Quang
6
2016
Stochastic quasi-Fejér block-coordinate fixed point iterations with random sweeping. Zbl 1317.65135
Combettes, Patrick L.; Pesquet, Jean-Christophe
39
2015
Compositions and convex combinations of averaged nonexpansive operators. Zbl 1322.47051
Combettes, Patrick L.; Yamada, Isao
28
2015
Best approximation from the Kuhn-Tucker set of composite monotone inclusions. Zbl 1337.47084
Alotaibi, Abdullah; Combettes, Patrick L.; Shahzad, Naseer
7
2015
Variable metric forward-backward splitting with applications to monotone inclusions in duality. Zbl 1309.90109
Combettes, Patrick L.; Vũ, Băng C.
40
2014
Solving coupled composite monotone inclusions by successive Fejér approximations of their Kuhn-Tucker set. Zbl 1315.47057
Alotaibi, Abdullah; Combettes, Patrick L.; Shahzad, Naseer
19
2014
A primal-dual method of partial inverses for composite inclusions. Zbl 1334.90122
Alghamdi, Maryam A.; Alotaibi, Abdullah; Combettes, Patrick L.; Shahzad, Naseer
11
2014
An algorithm for splitting parallel sums of linearly composed monotone operators, with applications to signal recovery. Zbl 1293.47059
Becker, Stephen R.; Combettes, Patrick L.
9
2014
Asymptotic behavior of compositions of under-relaxed nonexpansive operators. Zbl 1354.47033
Baillon, Jean-Bernard; Combettes, Patrick L.; Cominetti, Roberto
3
2014
Systems of structured monotone inclusions: duality, algorithms, and applications. Zbl 1314.47105
Combettes, Patrick L.
24
2013
Variable metric quasi-Fejér monotonicity. Zbl 1266.65087
Combettes, Patrick L.; Vũ, Băng C.
18
2013
Monotone operator methods for Nash equilibria in non-potential games. Zbl 1284.91014
Briceño-Arias, Luis M.; Combettes, Patrick L.
17
2013
Moreau’s decomposition in Banach spaces. Zbl 1268.49032
Combettes, Patrick L.; Reyes, Noli N.
3
2013
Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum type monotone operators. Zbl 1284.47043
Combettes, Patrick L.; Pesquet, Jean-Christophe
95
2012
On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints. Zbl 1244.90155
Censor, Yair; Chen, Wei; Combettes, Patrick L.; Davidi, Ran; Herman, Gabor T.
49
2012
There is no variational characterization of the cycles in the method of periodic projections. Zbl 1241.46015
Baillon, J.-B.; Combettes, P. L.; Cominetti, R.
10
2012
Convex analysis and monotone operator theory in Hilbert spaces. Zbl 1218.47001
Bauschke, Heinz H.; Combettes, Patrick L.
776
2011
Proximal splitting methods in signal processing. Zbl 1242.90160
Combettes, Patrick L.; Pesquet, Jean-Christophe
239
2011
A monotone+skew splitting model for composite monotone inclusions in duality. Zbl 1239.47053
Briceño-Arias, Luis M.; Combettes, Patrick L.
86
2011
Proximity for sums of composite functions. Zbl 1223.47120
Combettes, Patrick L.; Dũng, Đinh; Vũ, Bàng Công
17
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
Bauschke, Heinz H.; Burachik, Regina S.; Combettes, Patrick L.; Elser, Veit; Luke, D. Russell; Wolkowicz, Henry
12
2011
Proximal algorithms for multicomponent image recovery problems. Zbl 1255.68213
Briceño-Arias, L. M.; Combettes, P. L.; Pesquet, J.-C.; Pustelnik, N.
10
2011
A parallel splitting method for coupled monotone inclusions. Zbl 1218.47089
Attouch, Hédy; Briceño-Arias, Luis M.; Combettes, Patrick L.
45
2010
Dualization of signal recovery problems. Zbl 1229.90123
Combettes, Patrick L.; Dũng, Đinh; Vũ, Băng Công
24
2010
The Baillon-Haddad theorem revisited. Zbl 1208.47046
Bauschke, H. H.; Combettes, P. L.
14
2010
Functions with prescribed best linear approximations. Zbl 1196.41016
Combettes, Patrick L.; Reyes, Noli N.
5
2010
Iterative construction of the resolvent of a sum of maximal monotone operators. Zbl 1193.47067
Combettes, Patrick L.
56
2009
Convex variational formulation with smooth coupling for multicomponent signal decomposition and recovery. Zbl 1201.94021
Briceño-Arias, Luis M.; Combettes, Patrick L.
8
2009
A proximal decomposition method for solving convex variational inverse problems. Zbl 1154.49025
Combettes, Patrick L.; Pesquet, Jean-Christophe
33
2008
A Dykstra-like algorithm for two monotone operators. Zbl 1176.47051
Bauschke, Heinz H.; Combettes, Patrick L.
19
2008
Visco-penalization of the sum of two monotone operators. Zbl 1168.47040
Combettes, Patrick L.; Hirstoaga, Sever A.
5
2008
Proximal thresholding algorithm for minimization over orthonormal bases. Zbl 1167.90011
Combettes, Patrick L.; Pesquet, Jean-Christophe
42
2007
A variational formulation for frame-based inverse problems. Zbl 1141.65366
Chaux, Caroline; Combettes, Patrick L.; Pesquet, Jean-Christophe; Wajs, Valérie R.
28
2007
A convex programming algorithm for noisy discrete tomography. Zbl 1130.65124
Capricelli, T. D.; Combettes, P. L.
3
2007
Extrapolation algorithm for affine-convex feasibility problems. Zbl 1098.65060
Bauschke, Heinz H.; Combettes, Patrick L.; Kruk, Serge G.
30
2006
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
18
2006
Joint minimization with alternating Bregman proximity operators. Zbl 1124.90019
Bauschke, Heinz H.; Combettes, Patrick L.; Noll, Dominikus
18
2006
Approximating curves for nonexpansive and monotone operators. Zbl 1115.47042
Combettes, Patrick L.; Hirstoaga, Sever A.
7
2006
Equilibrium programming in Hilbert spaces. Zbl 1109.90079
Combettes, Patrick L.; Hirstoaga, Sever A.
549
2005
Signal recovery by proximal forward-backward splitting. Zbl 1179.94031
Combettes, Patrick L.; Wajs, Valérie R.
489
2005
The asymptotic behavior of the composition of two resolvents. Zbl 1075.47033
Bauschke, Heinz H.; Combettes, Patrick L.; Reich, Simeon
36
2005
Solving monotone inclusions via compositions of nonexpansive averaged operators. Zbl 1153.47305
Combettes, Patrick L.
187
2004
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
64
2004
Proximal methods for cohypomonotone operators. Zbl 1078.47003
Combettes, Patrick L.; Pennanen, Teemu
15
2004
Wavelet-constrained image restoration. Zbl 1121.94007
Combettes, Patrick L.; Pesquet, Jean-Christophe
4
2004
Bregman monotone optimization algorithms. Zbl 1049.90053
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
90
2003
A block-iterative surrogate constraint splitting method for quadratic signal recovery. Zbl 1369.94121
Combettes, Patrick L.
52
2003
Construction of best Bregman approximations in reflexive Banach spaces. Zbl 1040.41016
Bauschke, Heinz H.; Combettes, Patrick L.
30
2003
Iterating Bregman retractions. Zbl 1037.90048
Bauschke, Heinz H.; Combettes, Patrick L.
6
2003
Generalized Mann iterates for constructing fixed points in Hilbert spaces. Zbl 1032.47034
Combettes, Patrick L.; Pennanen, Teemu
23
2002
A weak-to-strong convergence principle for Fejér-monotone methods in Hilbert spaces. Zbl 1082.65058
Bauschke, Heinz H.; Combettes, Patrick L.
201
2001
Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces. Zbl 1032.49025
Bauschke, Heinz H.; Borwein, Jonathan M.; Combettes, Patrick L.
108
2001
Quasi-Fejérian analysis of some optimization algorithms. Zbl 0992.65065
Combettes, Patrick L.
67
2001
Strong convergence of block-iterative outer approximation methods for convex optimization. Zbl 1032.90023
Combettes, Patrick L.
22
2000
Hard-constrained inconsistent signal feasibility problems. Zbl 0979.94016
Combettes, Patrick L.; Bondon, Pascal
18
1999
Hilbertian convex feasibility problem: Convergence of projection methods. Zbl 0872.90069
Combettes, P. L.
72
1997
Construction of a common fixed point of firmly nonexpansive mappings. (Construction d’un point fixe commun à une famille de constractions fermes.) Zbl 0830.65047
Combettes, Patrick L.
20
1995
Iterations of parallel convex projections in Hilbert spaces. Zbl 0814.46064
Combettes, Patrick L.; Puh, Hong
4
1994
A bound for the zeros of polynomials. Zbl 0753.30004
Žilović, M. S.; Roytman, L. M.; Combettes, P. L.; Swamy, M. N. S.
5
1992
Method of successive projections for finding a common point of sets in metric spaces. Zbl 0696.90052
Combettes, P. L.; Trussell, H. J.
26
1990
all top 5

Cited by 2,547 Authors

71 Kumam, Poom
68 Shehu, Yekini
68 Yao, Jen-Chih
64 Bauschke, Heinz H.
47 Cho, Yeol Je
46 Ceng, Lu-Chuan
45 Combettes, Patrick L.
44 Boţ, Radu Ioan
44 Wang, Shawn Xianfu
39 Suantai, Suthep
36 Cholamjiak, Prasit
36 Reich, Simeon
35 Liou, Yeongcheng
33 Attouch, Hedy
33 Yao, Yonghong
32 Csetnek, Ernö Robert
30 Dong, Qiaoli
30 Mewomo, Oluwatosin Temitope
29 Dang Van Hieu
28 Censor, Yair
26 Ansari, Qamrul Hasan
26 Gibali, Aviv
25 Chang, Shih-Sen
24 Iiduka, Hideaki
22 Qin, Xiaolong
21 Kang, Shin Min
21 Kangtunyakarn, Atid
20 Peyré, Gabriel
20 Wang, Fenghui
20 Yuan, Xiaoming
19 Borwein, Jonathan Michael
19 Iyiola, Olaniyi Samuel
19 Su, Yongfu
19 Takahashi, Wataru
19 Tam, Matthew K.
19 Wen, Chingfeng
19 Zegeye, Habtu
18 Jolaoso, Lateef Olakunle
17 Fadili, Jalal M.
17 Pesquet, Jean-Christophe
17 Shen, Lixin
17 Tang, Yuchao
16 Eslamian, Mohammad
16 Kazmi, Kaleem Raza
16 Luke, D. Russell
16 Moursi, Walaa M.
16 Phan, Hung M.
15 Cegielski, Andrzej
15 Maingé, Paul-Emile
15 Xu, Hong-Kun
14 Peypouquet, Juan
14 Saewan, Siwaporn
14 Tran Dinh Quoc
14 Vũ, Bằng Công
14 Wangkeeree, Rabian
14 Xu, Yuesheng
13 Bello Cruz, Jose Yunier
13 Briceño-Arias, Luis M.
13 Dao, Minh Ngoc
13 Izuchukwu, Chinedu
13 Lin, Lai-Jiu
13 Steidl, Gabriele
13 Villa, Silvia
12 Aragón Artacho, Francisco Javier
12 Cai, Gang
12 Cholamjiak, Watcharaporn
12 Kanzow, Christian
12 Naraghirad, Eskandar
12 Sahu, Daya Ram
12 Shahzad, Naseer
12 Tian, Ming
12 Yao, Liangjin
12 Zalas, Rafał
11 Chuang, Chih-Sheng
11 Dương Việt Thông
11 Jitpeera, Thanyarat
11 Marino, Giuseppe
11 Peng, Jianwen
11 Peng, Jigen
11 Petrot, Narin
11 Sabach, Shoham
11 Shen, Zuowei
11 Yamada, Isao
11 Yin, Wotao
11 Zaslavski, Alexander Yakovlevich
10 Bonettini, Silvia
10 Bredies, Kristian
10 Cho, Sun Young
10 Clason, Christian
10 He, Songnian
10 Kim, Jong Kyu
10 Moudafi, Abdellatif
10 Muu, Le Dung
10 Osher, Stanley Joel
10 Taiwo, Adeolu
10 Trương Minh Tuyên
10 Wang, Shenghua
9 Ali, Bashir
9 Chan, Chi Kin
9 Chan, Raymond Hon-Fu
...and 2,447 more Authors
all top 5

Cited in 297 Serials

175 Fixed Point Theory and Applications
132 Journal of Optimization Theory and Applications
109 SIAM Journal on Optimization
84 Optimization
73 Abstract and Applied Analysis
71 Numerical Algorithms
69 Mathematical Programming. Series A. Series B
69 Computational Optimization and Applications
68 Journal of Global Optimization
65 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
59 Numerical Functional Analysis and Optimization
55 Journal of Inequalities and Applications
55 SIAM Journal on Imaging Sciences
54 Inverse Problems
51 Journal of Mathematical Analysis and Applications
50 Applied Mathematics and Computation
49 Optimization Letters
47 Journal of Mathematical Imaging and Vision
47 Journal of Fixed Point Theory and Applications
46 Set-Valued and Variational Analysis
44 Journal of Computational and Applied Mathematics
33 Journal of Applied Mathematics
32 Optimization Methods & Software
31 Journal of Scientific Computing
29 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
27 Journal of Nonlinear Science and Applications
23 Applied and Computational Harmonic Analysis
22 Computers & Mathematics with Applications
22 Computational and Applied Mathematics
21 Journal of Approximation Theory
17 Mathematical Problems in Engineering
16 Applied Mathematics and Optimization
15 Vietnam Journal of Mathematics
15 Inverse Problems and Imaging
14 Automatica
14 SIAM Journal on Scientific Computing
14 Advances in Computational Mathematics
13 Mathematical and Computer Modelling
12 SIAM Journal on Control and Optimization
12 Journal of Machine Learning Research (JMLR)
12 Nonlinear Analysis. Hybrid Systems
11 Journal of Function Spaces
10 International Journal of Mathematics and Mathematical Sciences
10 Machine Learning
10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
10 Foundations of Computational Mathematics
10 Journal of Applied Mathematics and Computing
10 Thai Journal of Mathematics
10 Journal of Nonlinear and Variational Analysis
9 Acta Mathematica Vietnamica
9 Calcolo
9 Mathematics of Operations Research
9 European Journal of Operational Research
9 Journal of the Operations Research Society of China
8 Mathematics of Computation
8 Demonstratio Mathematica
8 Operations Research Letters
8 Journal of Convex Analysis
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Analysis and Applications (Singapore)
8 Mediterranean Journal of Mathematics
7 Journal of Differential Equations
7 Rendiconti del Circolo Matemàtico di Palermo. Serie II
7 SIAM Journal on Numerical Analysis
7 Applied Numerical Mathematics
7 Cybernetics and Systems Analysis
7 Journal of Inverse and Ill-Posed Problems
7 Mathematical Methods of Operations Research
7 Afrika Matematika
7 Journal of Mathematics
6 Information Sciences
6 Numerische Mathematik
6 Proceedings of the American Mathematical Society
6 Acta Mathematica Sinica. English Series
6 International Journal of Wavelets, Multiresolution and Information Processing
6 Journal of Industrial and Management Optimization
6 Electronic Journal of Statistics
5 Applicable Analysis
5 Journal of Computational Physics
5 Results in Mathematics
5 Systems & Control Letters
5 Journal of the Egyptian Mathematical Society
5 The Journal of Fourier Analysis and Applications
5 Positivity
4 Applied Mathematics and Mechanics. (English Edition)
4 SIAM Journal on Matrix Analysis and Applications
4 Multidimensional Systems and Signal Processing
4 Neural Computation
4 Linear Algebra and its Applications
4 International Journal of Computer Vision
4 Nonlinear Analysis. Real World Applications
4 Journal of the Australian Mathematical Society
4 Fixed Point Theory
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
4 Mathematical Programming Computation
4 Science China. Mathematics
4 Symmetry
4 Journal of Nonlinear Analysis and Optimization: Theory & Applications
4 Sahand Communications in Mathematical Analysis
...and 197 more Serials
all top 5

Cited in 50 Fields

1,294 Operator theory (47-XX)
1,155 Operations research, mathematical programming (90-XX)
931 Numerical analysis (65-XX)
653 Calculus of variations and optimal control; optimization (49-XX)
257 Information and communication theory, circuits (94-XX)
197 Computer science (68-XX)
96 Statistics (62-XX)
91 Functional analysis (46-XX)
60 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
55 General topology (54-XX)
51 Biology and other natural sciences (92-XX)
49 Convex and discrete geometry (52-XX)
47 Approximations and expansions (41-XX)
44 Partial differential equations (35-XX)
44 Systems theory; control (93-XX)
41 Linear and multilinear algebra; matrix theory (15-XX)
37 Ordinary differential equations (34-XX)
34 Global analysis, analysis on manifolds (58-XX)
33 Real functions (26-XX)
23 Dynamical systems and ergodic theory (37-XX)
22 Probability theory and stochastic processes (60-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
16 Differential geometry (53-XX)
15 Mechanics of deformable solids (74-XX)
11 Integral transforms, operational calculus (44-XX)
8 Optics, electromagnetic theory (78-XX)
7 Mathematical logic and foundations (03-XX)
7 Combinatorics (05-XX)
6 Integral equations (45-XX)
6 Fluid mechanics (76-XX)
6 Quantum theory (81-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Geophysics (86-XX)
4 Measure and integration (28-XX)
4 Mechanics of particles and systems (70-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Several complex variables and analytic spaces (32-XX)
2 History and biography (01-XX)
2 Number theory (11-XX)
2 Difference and functional equations (39-XX)
2 Abstract harmonic analysis (43-XX)
2 Algebraic topology (55-XX)
2 Mathematics education (97-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Functions of a complex variable (30-XX)
1 Sequences, series, summability (40-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year