Efficient continuation Newton-like method for solving systems of non-linear equations

被引：13
|
作者：
Kou, JS [1 ]
Li, YT
Wang, XH
机构：
[1] Wuhan Univ, State Key Lab Water Resources & Hydropower Engn S, Wuhan 430072, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 174卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Newton method; continuation Newton method; non-linear equations; rootfinding; iteration method;
D O I：
10.1016/j.amc.2005.05.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a new Newton-like method for finding a zero of a vector function, permitting that the Jacobian is singular in some points. Thus, the problems due to the fact the Jacobian is numerically singular are solved. The method is showed to be quadratic convergence. Then, we detail the continuation Newton-like method corresponding to this method. By numerical examples, we show that this method is vast superior and possible in global convergence. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：846 / 853
页数：8
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