On Newton's method under Holder continuous derivative

被引：6

作者：

Zhengda, H ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 270卷 / 02期

关键词：

Newton's method; semilocal convergence; convergence order;

D O I：

10.1016/S0022-247X(02)00060-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Mysovskii-type theorem for Newton's method under (k, p)-Holder continuous derivative is considered in this paper. For the application studied by others, the new condition is weaker that ones in the literature. Also we prove that the optimal convergent order is P + 1 for 0 < p < 1. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：332 / 339

页数：8

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