Convergence of Newton's method and uniqueness of the solution of equations in Banach spaces II

被引：57

作者：

Wang, XH ^{[1
]}

Li, C

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China

[2] Wenzhou Univ, Dept Math, Whenzhou 325027, Peoples R China

[3] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

[4] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2003年 / 19卷 / 02期

基金：

中国国家自然科学基金;

关键词：

nonlinear operator equation; Newton's method; Lipschitz condition with L average; convergence ball;

D O I：

10.1007/s10114-002-0238-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some results on convergence of Newton's method in Banach spaces are established under the assumption that the derivative of the operators satisfies the radius or center Lipschitz condition with a weak L average.

引用

页码：405 / 412

页数：8