New families of nonlinear third-order solvers for finding multiple roots

被引：39

作者：

Chun, Changbum ^{[2
]}

Bae, Hwa ju ^{[2
]}

Neta, Beny ^{[1
]}

机构：

[1] USN, Postgrad Sch, Dept Appl Math, Monterey, CA 93943 USA

[2] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 57卷 / 09期

关键词：

Newton's method; Multiple roots; Iterative methods; Nonlinear equations; Order of convergence; Root-finding; EQUATIONS;

D O I：

10.1016/j.camwa.2008.10.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present two new families of iterative methods for multiple roots of nonlinear equations. One of the families require one-function and two-derivative evaluation per step, and the other family requires two-function and one-derivative evaluation. It is shown that both are third-order convergent for multiple roots. Numerical examples suggest that each family member can be competitive to other third-order methods and Newton's method for multiple roots. In fact the second family is even better than the first. Published by Elsevier Ltd

引用

页码：1574 / 1582

页数：9

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