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.
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页码：5 / 16
页数：11
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