Some fourth-order nonlinear solvers with closed formulae for multiple roots

被引：98

作者：

Li, S. G. ^{[1
]}

Cheng, L. Z. ^{[1
]}

Neta, B. ^{[1
]}

机构：

[1] Natl Univ Def Technol, Sch Sci, Changsha 410073, Hunan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Newton's method; Multiple roots; Nonlinear equations; Iterative methods; Root finding; EQUATIONS; FAMILY;

D O I：

10.1016/j.camwa.2009.08.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present six new fourth-order methods with closed formulae for finding multiple roots of nonlinear equations. The first four of them require one-function and three-derivative evaluation per iteration. The last two require one-function and two-derivative evaluation per iteration. Several numerical examples are given to show the performance of the presented methods compared with some known methods. Published by Elsevier Ltd

引用

页码：126 / 135

页数：10

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