Convergence criterion and convergence ball of the Newton-type method in banach space

被引：0

作者：

Zhang H. ^{[1
]}

Li W. ^{[2
]}

机构：

[1] School of Mathematics and Computational Sciences, China University of Petroleum, Qingdao

[2] School of Mathematics and Computational Sciences, China University of Petroleum, Dongying

来源：

Journal of Applied Mathematics and Computing | 2009年 / 31卷 / 1-2期

关键词：

Banach spaces; Convergence ball; Newton-type method; Nonlinear operator equation; Semilocal convergence;

D O I：

10.1007/s12190-008-0196-3

中图分类号：

学科分类号：

摘要：

The paper is concerned with the convergence problem of third-order Newton-type methods for finding zeros of nonlinear operations in Banach spaces. Under the hypothesis that the derivative of f satisfies the weak Lipschitz condition with L-average, the convergence criterion and convergence ball are given. Furthermore, some corollaries are obtained by applying the main results to some special functions L. © 2008 Korean Society for Computational and Applied Mathematics.

引用

页码：129 / 143

页数：14

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