On a nonsmooth version of Newton's method using locally lipschitzian operators

被引：1

作者：

Argyros I.K. ^{[1
]}

机构：

[1] Department of Mathematical Sciences, Cameron University, 73505 Lawton, OK

来源：

Rendiconti del Circolo Matematico di Palermo | 2007年 / 56卷 / 1期

关键词：

Banach Lemma on invertible operators; Banach space; Newton's method; Point-Based-Approximation;

D O I：

10.1007/BF03031424

中图分类号：

学科分类号：

摘要：

In this study we are concerned with the problem of approximating a locally unique solution of an operator equation in Banach space using Newton's method. The differentiability of the operator involved is not assumed. We provide a semilocal convergence analysis utilized to solve problems that were not covered before. Numerical examples are also provided to justify our approach. © 2007 Springer.

引用

页码：5 / 16

页数：11

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