Alternating forward–backward splitting for linearly constrained optimization problems

Author:

Molinari Cesare,Peypouquet JuanORCID,Roldan Fernando

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization

Reference62 articles.

1. Acker, F., Prestel, M.A.: Convergence d’un schéma de minimisation alternée. Ann. Faculté des Sci. Toulouse V Sér. Math. 2, 1–9 (1980)

2. Attouch, H., Bolte, J., Redont, P., Soubeyran, A.: Alternating proximal algorithms for weakly coupled convex minimization problems. Applications to dynamical games and PDE’s. J. Convex Anal. 15(3), 485–506 (2008)

3. Attouch, H., Brézis, H.: Duality for the sum of convex functions in general Banach spaces. Asp. Math. Appl. J. Barroso Ed. 34, 125–133 (1986)

4. Attouch, H., Cabot, A., Frankel, P., Peypouquet, J.: Alternating proximal algorithms for constrained variational inequalities. Application to domain decomposition for PDE’s. Nonlinear Anal. 74(18), 7455–7473 (2011)

5. Attouch, H., Czarnecki, M.-O., Peypouquet, J.: Prox-penalization and splitting methods for constrained variational problems. SIAM J. Optim. 21, 149–173 (2011)

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