On an application of Newton's method to nonlinear operators with w-conditioned second derivative

被引：0
|
作者：
Ezquerro, JA [1 ]
Hernández, MA [1 ]
机构：
[1] Univ La Rioja, Dept Math & Computat, Logrono 26004, Spain
来源：
BIT | 2002年 / 42卷 / 03期
关键词：
nonlinear equations in Banach spaces; integral equation; Newton's method; convergence theorem; recurrence relations;
D O I：
暂无
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We present a new approach to study the convergence of Newton's method in Banach spaces, which relax the conditions appearing in the usual studies. The approach is based on the bound required for the second derivative of the operator involved. An application to a nonlinear integral equation is presented.
引用
收藏
页码：519 / 530
页数：12
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