New conditions for the convergence of Newton-like methods and applications

被引：1

作者：

Argyros, Ioannis K. ^{[1
]}

Hilout, Said ^{[2
]}

机构：

[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

[2] Univ Poitiers, Lab Math & Applicat, F-86962 Futuroscope, France

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 06期

关键词：

Newton-like method; Banach space; Lipschitz condition; Majorizing sequences; Semilocal convergence; ITERATIVE METHODS; EQUATIONS; ACCESSIBILITY; THEOREM;

D O I：

10.1016/j.amc.2012.10.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Newton-like method methods are often used for solving nonlinear equations in a Banach space setting. Using more precise majorizing sequences, we provide a tighter convergence analysis than in earlier studies such as [4,6,9,13,17-22,31-35,38-44]. Our results are illustrated by several numerical examples, for which older convergence conditions do not hold but for which our convergence criteria are satisfied. Published by Elsevier Inc.

引用

页码：3279 / 3289

页数：11

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