Article
Attouch, Hédy, Bolte, Jérôme
and Svaiter, Benar Fux
(2013)
Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel method.
Mathematical Programming, 137 (1-2).
pp. 91-129.
Attouch, Hédy, Bolte, Jérôme
, Redont, Patrick and Soubeyran, Antoine
(2010)
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality.
Mathematics of Operations Research, 35 (2).
pp. 438-457.
Attouch, Hédy and Bolte, Jérôme
(2009)
On the Convergence of the Proximal Algorithm for Nonsmooth Functions Involving Analytic Features.
Mathematical Programming, 116 (1-2).
pp. 5-16.
Attouch, Hédy, Bolte, Jérôme
, Redont, Patrick and Soubeyran, Antoine
(2008)
Alternating Proximal Algorithms for Weakly Coupled Minimization Problems. Applications to Dynamical Games and PDE’s.
Journal of Convex Analysis, 15 (3).
pp. 485-506.
Attouch, Hédy, Bolte, Jérôme
, Redont, Patrick and Teboulle, Marc
(2004)
A Singular Riemannian Barrier Method for Constrained Minimization.
Optimization, 53 (5-6).
pp. 435-454.
Attouch, Hédy, Bolte, Jérôme
and Redont, Patrick
(2002)
Optimizing Properties of an Inertial Dynamical System with Geometric Damping. Link with Proximal Methods.
Control and Cybernetics, 31 (3).
pp. 643-657.
Alvarez, Felipe, Attouch, Hédy
, Bolte, Jérôme
and Redont, Patrick
(2002)
A Second-Order Gradient-Like Dissipative Dynamical System with Hessian-Driven Damping. Application to Optimization and Mechanics.
Journal de Mathématiques Pures et Appliquées, 81 (8).
pp. 747-779.