A splitting algorithm for dual monotone inclusions involving cocoercive operators
We consider the problem of solving dual monotone inclusions involving sums of composite parallel-sum type operators. A feature of this work is to exploit explicitly the properties of the cocoercive operators appearing in the model. Several splitting algorithms recently proposed in the literature are...
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| Veröffentlicht in: | Advances in computational mathematics Jg. 38; H. 3; S. 667 - 681 |
|---|---|
| 1. Verfasser: | |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston
Springer US
01.04.2013
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| Schlagworte: | |
| ISSN: | 1019-7168, 1572-9044 |
| Online-Zugang: | Volltext |
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| Abstract | We consider the problem of solving dual monotone inclusions involving sums of composite parallel-sum type operators. A feature of this work is to exploit explicitly the properties of the cocoercive operators appearing in the model. Several splitting algorithms recently proposed in the literature are recovered as special cases. |
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| AbstractList | We consider the problem of solving dual monotone inclusions involving sums of composite parallel-sum type operators. A feature of this work is to exploit explicitly the properties of the cocoercive operators appearing in the model. Several splitting algorithms recently proposed in the literature are recovered as special cases. |
| Author | Vũ, Bằng Công |
| Author_xml | – sequence: 1 givenname: Bang surname: Vu middlename: Cong fullname: Vu, Bang Cong |
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| Cites_doi | 10.1137/050626090 10.3934/ipi.2010.4.379 10.1137/S1052623495290179 10.1007/s10851-010-0251-1 10.1137/S1052623494250415 10.2140/pjm.1967.21.167 10.1016/S0168-2024(08)70034-1 10.1007/BF01582566 10.1137/090754297 10.1137/0329006 10.1016/j.jmaa.2011.02.079 10.1007/978-1-4419-9569-8_10 10.1137/10081602X 10.1080/02331930412331327157 10.1016/0022-247X(72)90043-1 10.1007/978-1-4419-9467-7 10.1007/BF03007664 10.1137/1.9781611970838 10.1007/BF01582258 10.1137/100814494 |
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| Keywords | Monotone inclusion Primal-dual algorithm Cocoercivity 90C25 Composite operator Operator splitting 49M29 Duality Monotone operator 49M27 47H05 Forward-backward algorithm |
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| References | Chen, Rockafellar (CR11) 1997; 7 Facchinei, Pang (CR19) 2003 CR18 Tseng (CR29) 1991; 29 CR15 Baillon, Haddad (CR4) 1977; 26 Bauschke, Combettes (CR5) 2010; 17 Combettes, Dũng, Vũ (CR17) 2011; 380 Gabay, Fortin, Glowinski (CR20) 1983 Chambolle, Pock (CR10) 2011; 40 Combettes, Pesquet, Bauschke (CR14) 2011 Mercier (CR23) 1979 Cai, Chan, Shen (CR9) 2010; 4 Zhu, Marcotte (CR30) 1996; 6 Attouch, Théra (CR1) 1996; 3 Briceño-Arias, Combettes (CR7) 2011; 21 Attouch, Briceño-Arias, Combettes (CR3) 2010; 48 CR8 Glowinski, Le Tallec (CR21) 1989 Combettes, Wajs (CR16) 2005; 4 CR26 Tseng (CR28) 1990; 48 Mosco (CR24) 1972; 40 CR25 Chen, Teboulle (CR12) 1994; 64 CR22 Rockafellar (CR27) 1967; 21 Combettes (CR13) 2004; 53 Bauschke, Combettes (CR6) 2011 Attouch, Bolte, Redont, Soubeyran (CR2) 2008; 15 9254_CR15 D Gabay (9254_CR20) 1983 PL Combettes (9254_CR17) 2011; 380 9254_CR18 U Mosco (9254_CR24) 1972; 40 DL Zhu (9254_CR30) 1996; 6 H Attouch (9254_CR1) 1996; 3 RT Rockafellar (9254_CR27) 1967; 21 A Chambolle (9254_CR10) 2011; 40 B Mercier (9254_CR23) 1979 HH Bauschke (9254_CR6) 2011 PL Combettes (9254_CR13) 2004; 53 PL Combettes (9254_CR14) 2011 F Facchinei (9254_CR19) 2003 G Chen (9254_CR12) 1994; 64 H Attouch (9254_CR2) 2008; 15 9254_CR25 9254_CR26 J-F Cai (9254_CR9) 2010; 4 P Tseng (9254_CR29) 1991; 29 J-B Baillon (9254_CR4) 1977; 26 P Tseng (9254_CR28) 1990; 48 GH-G Chen (9254_CR11) 1997; 7 R Glowinski (9254_CR21) 1989 9254_CR22 PL Combettes (9254_CR16) 2005; 4 LM Briceño-Arias (9254_CR7) 2011; 21 9254_CR8 HH Bauschke (9254_CR5) 2010; 17 H Attouch (9254_CR3) 2010; 48 |
| References_xml | – ident: CR22 – ident: CR18 – volume: 4 start-page: 1168 year: 2005 end-page: 1200 ident: CR16 article-title: Signal recovery by proximal forward-backward splitting publication-title: Multiscale Model. Simul. doi: 10.1137/050626090 – volume: 4 start-page: 379 year: 2010 end-page: 395 ident: CR9 article-title: Simultaneous cartoon and texture inpainting publication-title: Inverse Probl. Imaging doi: 10.3934/ipi.2010.4.379 – volume: 7 start-page: 421 year: 1997 end-page: 444 ident: CR11 article-title: Convergence rates in forward-backward splitting publication-title: SIAM J. Optim. doi: 10.1137/S1052623495290179 – year: 1979 ident: CR23 publication-title: Topics in Finite Element Solution of Elliptic Problems (Lectures on Mathematics, no. 63) – volume: 3 start-page: 1 year: 1996 end-page: 24 ident: CR1 article-title: A general duality principle for the sum of two operators publication-title: J. Convex Anal. – volume: 40 start-page: 120 year: 2011 end-page: 145 ident: CR10 article-title: A first order primal dual algorithm for convex problems with applications to imaging publication-title: J. Math. Imaging Vis. doi: 10.1007/s10851-010-0251-1 – volume: 6 start-page: 714 year: 1996 end-page: 726 ident: CR30 article-title: Co-coercivity and its role in the convergence of iterative schemes for solving variational inequalities publication-title: SIAM J. Optim. doi: 10.1137/S1052623494250415 – ident: CR8 – ident: CR25 – volume: 21 start-page: 167 year: 1967 end-page: 187 ident: CR27 article-title: Duality and stability in extremum problems involving convex functions publication-title: Pac. J. Math. doi: 10.2140/pjm.1967.21.167 – start-page: 299 year: 1983 end-page: 331 ident: CR20 article-title: Applications of the method of multipliers to variational inequalities publication-title: Augmented Lagrangian Methods: Applications to the Numerical Solution of Boundary Value Problems doi: 10.1016/S0168-2024(08)70034-1 – volume: 64 start-page: 81 year: 1994 end-page: 101 ident: CR12 article-title: A proximal based decomposition method for minimization problems publication-title: Math. Program. doi: 10.1007/BF01582566 – volume: 48 start-page: 3246 year: 2010 end-page: 3270 ident: CR3 article-title: A parallel splitting method for coupled monotone inclusions publication-title: SIAM J. Control Optim. doi: 10.1137/090754297 – volume: 29 start-page: 119 year: 1991 end-page: 138 ident: CR29 article-title: Applications of a splitting algorithm to decomposition in convex programming and variational inequalities publication-title: SIAM J. Control Optim. doi: 10.1137/0329006 – volume: 380 start-page: 680 year: 2011 end-page: 688 ident: CR17 article-title: Proximity for sums of composite functions publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2011.02.079 – start-page: 185 year: 2011 end-page: 212 ident: CR14 article-title: Proximal splitting methods in signal processing publication-title: Fixed-Point Algorithms for Inverse Problems in Science and Engineering doi: 10.1007/978-1-4419-9569-8_10 – volume: 21 start-page: 1230 year: 2011 end-page: 1250 ident: CR7 article-title: A monotone+skew splitting model for composite monotone inclusions in duality publication-title: SIAM J. Optim. doi: 10.1137/10081602X – ident: CR15 – volume: 17 start-page: 781 year: 2010 end-page: 787 ident: CR5 article-title: The Baillon–Haddad theorem revisited publication-title: J. Convex Anal. – volume: 53 start-page: 475 year: 2004 end-page: 504 ident: CR13 article-title: Solving monotone inclusions via compositions of nonexpansive averaged operators publication-title: Optimization doi: 10.1080/02331930412331327157 – volume: 40 start-page: 202 year: 1972 end-page: 206 ident: CR24 article-title: Dual variational inequalities publication-title: J. Math. Anal. Appl. doi: 10.1016/0022-247X(72)90043-1 – year: 2011 ident: CR6 publication-title: Convex Analysis and Monotone Operator Theory in Hilbert Spaces doi: 10.1007/978-1-4419-9467-7 – volume: 26 start-page: 137 year: 1977 end-page: 150 ident: CR4 article-title: Quelques propriétés des opérateurs angle-bornés et -cycliquement monotones publication-title: Isr. J. Math. doi: 10.1007/BF03007664 – ident: CR26 – year: 2003 ident: CR19 publication-title: Finite-Dimensional Variational Inequalities and Complementarity Problems – year: 1989 ident: CR21 publication-title: Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics doi: 10.1137/1.9781611970838 – volume: 15 start-page: 485 year: 2008 end-page: 506 ident: CR2 article-title: Alternating proximal algorithms for weakly coupled convex minimization problems—applications to dynamical games and PDE’s publication-title: J. Convex Anal. – volume: 48 start-page: 249 year: 1990 end-page: 263 ident: CR28 article-title: Further applications of a splitting algorithm to decomposition in variational inequalities and convex programming publication-title: Math. Program. doi: 10.1007/BF01582258 – volume: 15 start-page: 485 year: 2008 ident: 9254_CR2 publication-title: J. Convex Anal. – volume: 7 start-page: 421 year: 1997 ident: 9254_CR11 publication-title: SIAM J. Optim. doi: 10.1137/S1052623495290179 – volume: 3 start-page: 1 year: 1996 ident: 9254_CR1 publication-title: J. Convex Anal. – ident: 9254_CR25 – volume: 17 start-page: 781 year: 2010 ident: 9254_CR5 publication-title: J. Convex Anal. – volume-title: Convex Analysis and Monotone Operator Theory in Hilbert Spaces year: 2011 ident: 9254_CR6 doi: 10.1007/978-1-4419-9467-7 – volume: 380 start-page: 680 year: 2011 ident: 9254_CR17 publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2011.02.079 – volume: 6 start-page: 714 year: 1996 ident: 9254_CR30 publication-title: SIAM J. Optim. doi: 10.1137/S1052623494250415 – volume: 40 start-page: 202 year: 1972 ident: 9254_CR24 publication-title: J. Math. Anal. Appl. doi: 10.1016/0022-247X(72)90043-1 – ident: 9254_CR8 – volume: 4 start-page: 1168 year: 2005 ident: 9254_CR16 publication-title: Multiscale Model. Simul. doi: 10.1137/050626090 – ident: 9254_CR15 – volume: 53 start-page: 475 year: 2004 ident: 9254_CR13 publication-title: Optimization doi: 10.1080/02331930412331327157 – volume-title: Topics in Finite Element Solution of Elliptic Problems (Lectures on Mathematics, no. 63) year: 1979 ident: 9254_CR23 – volume: 21 start-page: 167 year: 1967 ident: 9254_CR27 publication-title: Pac. J. Math. doi: 10.2140/pjm.1967.21.167 – volume: 48 start-page: 249 year: 1990 ident: 9254_CR28 publication-title: Math. Program. doi: 10.1007/BF01582258 – volume: 48 start-page: 3246 year: 2010 ident: 9254_CR3 publication-title: SIAM J. Control Optim. doi: 10.1137/090754297 – volume: 64 start-page: 81 year: 1994 ident: 9254_CR12 publication-title: Math. Program. doi: 10.1007/BF01582566 – ident: 9254_CR22 doi: 10.1137/100814494 – volume-title: Finite-Dimensional Variational Inequalities and Complementarity Problems year: 2003 ident: 9254_CR19 – ident: 9254_CR26 – volume: 21 start-page: 1230 year: 2011 ident: 9254_CR7 publication-title: SIAM J. Optim. doi: 10.1137/10081602X – volume: 4 start-page: 379 year: 2010 ident: 9254_CR9 publication-title: Inverse Probl. Imaging doi: 10.3934/ipi.2010.4.379 – volume: 40 start-page: 120 year: 2011 ident: 9254_CR10 publication-title: J. Math. Imaging Vis. doi: 10.1007/s10851-010-0251-1 – start-page: 185 volume-title: Fixed-Point Algorithms for Inverse Problems in Science and Engineering year: 2011 ident: 9254_CR14 doi: 10.1007/978-1-4419-9569-8_10 – start-page: 299 volume-title: Augmented Lagrangian Methods: Applications to the Numerical Solution of Boundary Value Problems year: 1983 ident: 9254_CR20 doi: 10.1016/S0168-2024(08)70034-1 – volume: 26 start-page: 137 year: 1977 ident: 9254_CR4 publication-title: Isr. J. Math. doi: 10.1007/BF03007664 – volume: 29 start-page: 119 year: 1991 ident: 9254_CR29 publication-title: SIAM J. Control Optim. doi: 10.1137/0329006 – volume-title: Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics year: 1989 ident: 9254_CR21 doi: 10.1137/1.9781611970838 – ident: 9254_CR18 |
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| SubjectTerms | Algorithms Computation Computational Mathematics and Numerical Analysis Computational Science and Engineering Inclusions Mathematical and Computational Biology Mathematical Modeling and Industrial Mathematics Mathematical models Mathematics Mathematics and Statistics Operators Splitting Sums Visualization |
| Title | A splitting algorithm for dual monotone inclusions involving cocoercive operators |
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