Local convergence of exact and inexact newton’s methods for subanalytic variational inclusions

 

Gorde:
Xehetasun bibliografikoak
Egileak: Cabuzel, Catherine, Pietrus, Alain, Burnet, Steeve
Formatua: artículo original
Egoera:Versión publicada
Argitaratze data:2015
Deskribapena:This paper deals with the study of an iterative method for solving a variational inclusion of the form 0 ∈ f (x)+F(x) where f is a locally Lipschitz subanalytic function and F is a set-valued map from Rn to the closed subsets of Rn. To this inclusion, we firstly associate a Newton then secondly an Inexact Newton type sequence and with some semistability and hemistability properties of the solution x∗ of the previous inclusion, we prove the existence of a sequence which is locally superlinearly convergent.
Herria:Portal de Revistas UCR
Erakundea:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Hizkuntza:Inglés
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/17519
Sarrera elektronikoa:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/17519
Gako-hitza:set–valued mapping
variational inclusion
semistability
hemistability
subanalytic function
Newton’s method
inexact Newton’s method
hemi- stability