A family of new Newton-like methods

被引：11

作者：

Kou, Jisheng ^{[1
,2
]}

Li, Yitian ^{[2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Wuhan Univ, State Key Lab Water Resources & Hydropower Engn S, Wuhan 430072, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 192卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Newton's method; non-linear equations; root-finding; iterative method;

D O I：

10.1016/j.amc.2007.02.129

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a family of new Newton-like methods, which removes the severe condition f'(x) not equal 0 in a neighborhood of the required root imposed on Newton's method. The new methods are quadratically convergent and moreover, have the same error equation as Newton's method. The detailed analysis of convergence is supplied. The numerical results show that the new methods have definite practical utility. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：162 / 167

页数：6

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