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

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφείς: Cabuzel, Catherine, Pietrus, Alain, Burnet, Steeve
Μορφή: artículo original
Κατάσταση:Versión publicada
Ημερομηνία έκδοσης:2015
Περιγραφή: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.
Χώρα:Portal de Revistas UCR
Ίδρυμα:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Γλώσσα:Inglés
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/17519
Διαθέσιμο Online:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/17519
Λέξη-Κλειδί :set–valued mapping
variational inclusion
semistability
hemistability
subanalytic function
Newton’s method
inexact Newton’s method
hemi- stability