Seminário de Otimização e Problemas Inversos – 26/08/2024 às 14h:00m
Seminário de Otimização & Problemas Inversos
Título: Second-order dynamical systems associated with a class of quasiconvex functions
Palestrante: Raul T. Marcavillaca (CMM, Chile)
Resumo: In this talk, we explore second-order gradient dynamical systems smooth strongly quasiconvex functions for strongly quasiconvex functions, without assuming the usual Lipschitz continuity assumption on the gradient. We exhibit exponential convergence of the trajectory towards the solution. Moreover, also in the quasiconvex setting, we consider second-order dynamics incorporating Hessian-driven damping. Finally, we show that explicit discretizations of these two dynamical systems yield different gradient-type methods, establishing the linear convergence of both methods under suitable parameter conditions.
Data: Segunda-feira, 26 de Agosto de 2024 às 14 horas
Local: Auditório Airton Silva, MTM
Maiores informações: http://mtm.ufsc.br/~maicon/seminar