Un mokameeting aura lieu le 15 novembre, à 14h, dans la salle Jacques-Louis Lions à l’Inria Paris. Nous aurons le plaisir d’écouter Pankaj Gautam (Norwegian University of Science and Technology).
Pankaj Gautam : continuous dynamical systems for monotone inclusion and optimization problems
Résumé : In this talk, we present continuous dynamical system methods to solve monotone inclusion and optimization problems based on splitting methods, viz., forward-backward, Douglas-Rachford, forward-backward-forward, and forward-backward-half forward (FBHF). We provide existence, uniqueness, and weak convergence of the orbit generated by FBHF dynamical systems. We introduce and analyze preconditioned FBHF dynamical systems with non-self-adjoint linear operators as preconditioners. In addition, we prove the strong convergence of the orbits by using Tikhonov regularization.
