Um algoritmo proximal com quase-distância

In this work, based in [1, 18], we study the convergence of method of proximal point (MPP) regularized by a quasi-distance, applied to an optimization problem. The objective function considered not is necessarily convex and satisfies the property of Kurdyka- Lojasiewicz around by their generalized c...

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Detalles Bibliográficos
Autor: Assunção Filho, Pedro Bonfim de
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2015
País:Brasil
Institución:Universidade Federal de Goiás (UFG)
Repositorio:Repositório Institucional da UFG
Idioma:portugués
OAI Identifier:oai:repositorio.bc.ufg.br:tede/4521
Acceso en línea:http://repositorio.bc.ufg.br/tede/handle/tede/4521
Access Level:acceso abierto
Palabra clave:Algoritmo proximal
Desigualdade de krdyka-lojasiewicz
Proximal algorithm
Inequality kurdyka-lojasiewicz
CIENCIAS EXATAS E DA TERRA::MATEMATICA
Descripción
Sumario:In this work, based in [1, 18], we study the convergence of method of proximal point (MPP) regularized by a quasi-distance, applied to an optimization problem. The objective function considered not is necessarily convex and satisfies the property of Kurdyka- Lojasiewicz around by their generalized critical points. More specifically, we will show that any limited sequence, generated from MPP, converge the a generalized critical point.