How to improve the domain of parameters for Newton's method

被引：8

作者：

Ezquerro, J. A. ^{[1
]}

Hernandez-Veron, M. A. ^{[1
]}

机构：

[1] Univ La Rioja, Dept Math & Computat, Logrono 26004, Spain

来源：

APPLIED MATHEMATICS LETTERS | 2015年 / 48卷

关键词：

Newton's method; Semi local convergence; Recurrence relations; Domain of parameters; SEMILOCAL CONVERGENCE;

D O I：

10.1016/j.aml.2015.03.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the influence of a center Lipschitz condition for the first derivative of the operator involved when the solution of a nonlinear equation is approximated by Newton's method in Banach spaces. As a consequence, we see that the domain of parameters associated to the Newton Kantorovich theorem is enlarged. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：91 / 101

页数：11

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