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.
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页码：1 / 23
页数：23
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