A splitting algorithm for dual monotone inclusions involving cocoercive operators
暂无分享,去创建一个
[1] J. Baillon,et al. Quelques propriétés des opérateurs angle-bornés etn-cycliquement monotones , 1977 .
[2] Xiaoming Yuan,et al. Convergence analysis of primal-dual algorithms for total variation image restoration , 2010 .
[3] Paul Tseng,et al. Further applications of a splitting algorithm to decomposition in variational inequalities and convex programming , 1990, Math. Program..
[4] R. Glowinski,et al. Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics , 1987 .
[5] D. Gabay. Applications of the method of multipliers to variational inequalities , 1983 .
[6] P. Tseng. Applications of splitting algorithm to decomposition in convex programming and variational inequalities , 1991 .
[7] Patrick L. Combettes,et al. A Parallel Splitting Method for Coupled Monotone Inclusions , 2009, SIAM J. Control. Optim..
[8] Bingsheng He,et al. Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective , 2012, SIAM J. Imaging Sci..
[9] Jian-Feng Cai,et al. Simultaneous cartoon and texture inpainting , 2010 .
[10] P. L. Combettes,et al. Primal-Dual Splitting Algorithm for Solving Inclusions with Mixtures of Composite, Lipschitzian, and Parallel-Sum Type Monotone Operators , 2011, Set-Valued and Variational Analysis.
[11] P. L. Combettes,et al. Solving monotone inclusions via compositions of nonexpansive averaged operators , 2004 .
[12] R. Rockafellar,et al. Duality and stability in extremum problems involving convex functions. , 1967 .
[13] R. Tyrrell Rockafellar,et al. Convergence Rates in Forward-Backward Splitting , 1997, SIAM J. Optim..
[14] Patrick L. Combettes,et al. A Monotone+Skew Splitting Model for Composite Monotone Inclusions in Duality , 2010, SIAM J. Optim..
[15] Patrick L. Combettes,et al. Proximal Splitting Methods in Signal Processing , 2009, Fixed-Point Algorithms for Inverse Problems in Science and Engineering.
[16] Laurent Condat. A generic first-order primal-dual method for convex optimization involving Lipschitzian, proximable and linear composite terms , 2011 .
[17] U. Mosco. Dual variational inequalities , 1972 .
[18] Marc Teboulle,et al. A proximal-based decomposition method for convex minimization problems , 1994, Math. Program..
[19] Mohamed-Jalal Fadili,et al. A Generalized Forward-Backward Splitting , 2011, SIAM J. Imaging Sci..
[20] Patrice Marcotte,et al. Co-Coercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities , 1996, SIAM J. Optim..
[21] B. Mercier. Topics in Finite Element Solution of Elliptic Problems , 1979 .
[22] P. L. Combettes,et al. Monotone Operator Methods for Nash Equilibria in Non-potential Games , 2011, 1106.0144.
[23] Antonin Chambolle,et al. A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging , 2011, Journal of Mathematical Imaging and Vision.
[24] F. Facchinei,et al. Finite-Dimensional Variational Inequalities and Complementarity Problems , 2003 .
[25] H. Attouch. A General Duality Principle for the Sum of Two Operators 1 , 1996 .
[26] J. Bolte,et al. Alternating Proximal Algorithms for Weakly Coupled Minimization Problems. Applications to Dynamical Games and PDE’s , 2008 .
[27] Heinz H. Bauschke,et al. The Baillon-Haddad Theorem Revisited , 2009, 0906.0807.
[28] Patrick L. Combettes,et al. Signal Recovery by Proximal Forward-Backward Splitting , 2005, Multiscale Model. Simul..
[29] P. L. Combettes,et al. Proximity for sums of composite functions , 2010, 1007.3535.
[30] J. Pesquet,et al. A Parallel Inertial Proximal Optimization Method , 2012 .
[31] Heinz H. Bauschke,et al. Convex Analysis and Monotone Operator Theory in Hilbert Spaces , 2011, CMS Books in Mathematics.