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An identity involving exterior derivatives and applications to Gaffney inequality
Alternating proximal algorithm with costs-to-move, dual description and application to PDE's
1. | Département de Mathématiques, Université Montpellier II, CC 051, Place Eugène, Bataillon, 34095 Montpellier Cedex 5, France |
References:
[1] |
F. Acker and M.-A. Prestel, Convergence d'un schéma de minimisation alternée, Annales de la Faculté des Sciences de Toulouse V, Série Mathématiques, 2 (1980), 1-9. |
[2] |
H. Attouch, J. Bolte, P. Redont and A. Soubeyran, Alternating proximal algorithms for weakly coupled convex minimization problems. Applications to dynamical games and PDE's, Journal of Convex Analysis, 15 (2008), 485-506. |
[3] |
H. Attouch, G. Buttazzo and G. Michaille, "Variational Analysis in Sobolev and BV Spaces. Applications to PDE's and Optimization," MPS/SIAM Series on Optimization, 6, Society for Industrial and Applied Mathematics (SIAM), Mathematical Programming Society (MPS), Philadelphia, PA, 2006. |
[4] |
H. Attouch, A. Cabot, P. Frankel and J. Peypouquet, Alternating proximal algorithms for constrained variational inequalities. Applications to domain decomposition for PDE's,, accepted in Nonlinear Analysis., ().
|
[5] |
H. Attouch, P. Redont and A. Soubeyran, A new class of alternating proximal minimization algorithms with costs-to-move, SIAM Journal on Optimization, 18 (2007), 1061-1081.
doi: 10.1137/060657248. |
[6] |
H. H. Bauschke, P. L. Combettes and S. Reich, The asymptotic behavior of the composition of two resolvents, Nonlinear Analysis, 60 (2005), 283-301. |
[7] |
A. Cabot and P. Frankel, Alternating proximal algorithms with costs-to-move and asymptotically vanishing coupling,, accepted in Optimization., ().
|
[8] |
Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc., 73 (1967), 591-597.
doi: 10.1090/S0002-9904-1967-11761-0. |
show all references
References:
[1] |
F. Acker and M.-A. Prestel, Convergence d'un schéma de minimisation alternée, Annales de la Faculté des Sciences de Toulouse V, Série Mathématiques, 2 (1980), 1-9. |
[2] |
H. Attouch, J. Bolte, P. Redont and A. Soubeyran, Alternating proximal algorithms for weakly coupled convex minimization problems. Applications to dynamical games and PDE's, Journal of Convex Analysis, 15 (2008), 485-506. |
[3] |
H. Attouch, G. Buttazzo and G. Michaille, "Variational Analysis in Sobolev and BV Spaces. Applications to PDE's and Optimization," MPS/SIAM Series on Optimization, 6, Society for Industrial and Applied Mathematics (SIAM), Mathematical Programming Society (MPS), Philadelphia, PA, 2006. |
[4] |
H. Attouch, A. Cabot, P. Frankel and J. Peypouquet, Alternating proximal algorithms for constrained variational inequalities. Applications to domain decomposition for PDE's,, accepted in Nonlinear Analysis., ().
|
[5] |
H. Attouch, P. Redont and A. Soubeyran, A new class of alternating proximal minimization algorithms with costs-to-move, SIAM Journal on Optimization, 18 (2007), 1061-1081.
doi: 10.1137/060657248. |
[6] |
H. H. Bauschke, P. L. Combettes and S. Reich, The asymptotic behavior of the composition of two resolvents, Nonlinear Analysis, 60 (2005), 283-301. |
[7] |
A. Cabot and P. Frankel, Alternating proximal algorithms with costs-to-move and asymptotically vanishing coupling,, accepted in Optimization., ().
|
[8] |
Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc., 73 (1967), 591-597.
doi: 10.1090/S0002-9904-1967-11761-0. |
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