ON SEMILOCAL CONVERGENCE OF INEXACT NEWTON METHODS

被引：0

作者：

Xueping Guo (Department of Mathematics

机构：

来源：

Journal of Computational Mathematics | 2007年 / 02期

基金：

中国国家自然科学基金;

关键词：

Banach space; Systems of nonlinear equations; Newton’s method; The splitting method; Inexact Newton methods;

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

070102 ;

摘要：

Inexact Newton methods are constructed by combining Newton’s method with anotheriterative method that is used to solve the Newton equations inexactly.In this paper,weestablish two semilocal convergence theorems for the inexact Newton methods.When thesetwo theorems are specified to Newton’s method,we obtain a different Newton-Kantorovichtheorem about Newton’s method.When the iterative method for solving the Newtonequations is specified to be the splitting method,we get two estimates about the iterationsteps for the special inexact Newton methods.

引用

页码：231 / 242

页数：12

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