Historical developments in convergence analysis for Newton's and Newton-like methods

被引：77

作者：

Yamamoto, T ^{[1
]}

机构：

[1] Ehime Univ, Fac Sci, Dept Math Sci, Matsuyama, Ehime 7908577, Japan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2000年 / 124卷 / 1-2期

关键词：

nonlinear equations; convergence theorems; error estimates; Newton's method; Newton-like methods; Halley's method;

D O I：

10.1016/S0377-0427(00)00417-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Historical developments in convergence theory as well as error estimates for Newton's method and Newton-like methods for nonlinear equations are described, mainly for differentiable equations in Banach spaces. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 47H17; 65J15.

引用

页码：1 / 23

页数：23

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