On Newton's method for solving generalized equations

Ferreira O.P.; Jean-Alexis C.; Pietrus A.Silva G.N.

首页> 外文期刊>Journal of complexity >On Newton's method for solving generalized equations

【24h】

On Newton's method for solving generalized equations

机译：On Newton's method for solving generalized equations

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相关主题

摘要

? 2022 Elsevier Inc.In this paper, we study the convergence properties of a Newton-type method for solving generalized equations under a majorant condition. To this end, we use a contraction mapping principle. More precisely, we present semi-local convergence analysis of the method for generalized equations involving a set-valued map, the inverse of which satisfying the Aubin property. Our analysis enables us to obtain convergence results under Lipschitz, Smale and Nesterov-Nemirovski's self-concordant conditions.

著录项

来源
《Journal of complexity》 |2023年第2期|101697.1-101697.17|共17页
作者
Ferreira O.P.; Jean-Alexis C.; Pietrus A.Silva G.N.;
展开▼
作者单位

Instituto de Matemática e Estatística Universidade Federal de Goiás;

Département de Mathématiques et Informatique Laboratoire LAMIA EA4540 Université des Antilles;

Universidade Federal do Piauí Departamento de Matemática;

展开▼
收录信息
原文格式 PDF
正文语种英语
中图分类
关键词
Aubin property; Generalized equations; Majorant condition; Newton's method;

On Newton's method for solving generalized equations

摘要

著录项

相关主题

期刊订阅