ON THE CONVERGENCE OF NEWTON'S METHOD AND LOCALLY HOLDERIAN INVERSES OF OPERATORS

被引：0

作者：

Argyros, Ioannis K. ^{[1
]}

机构：

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

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2009年 / 16卷 / 01期

关键词：

Newton's method; Banach space; locally Holderian inverses of operators; point-based approximation; semilocal convergence; successive substitutions; fixed point;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A semilocal convergence analysis is provided for Newton's method in a Banach space. The inverses of the operators involved are only locally Holderian. We make use of a point-based approximation and center-Holderian hypotheses for the inverses of the operators involved. Such an approach can be used to approximate solutions of equations involving nonsmooth operators.

引用

页码：13 / 18

页数：6

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