Comparative study of methods of various orders for finding repeated roots of nonlinear equations

被引：10

作者：

Chun, Changbum ^{[1
]}

Neta, Beny ^{[2
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea

[2] Naval Postgrad Sch, Dept Appl Math, Monterey, CA 93943 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2018年 / 340卷

基金：

新加坡国家研究基金会;

关键词：

Iterative methods; Order of convergence; Rational maps; Basin of attraction; Conjugacy classes; MULTIPLE-ZERO FINDERS; ITERATIVE METHODS; NEWTON-TYPE; 4TH-ORDER METHODS; ONE-POINT; FAMILY; ATTRACTION; BASINS; DYNAMICS;

D O I：

10.1016/j.cam.2018.02.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are considering 20 (families of) methods for finding repeated roots of a nonlinear equation. The methods are of order up to 8. We use the idea of basin of attraction to compare the methods. We found that 4 methods performed best based on 3 quantitative criteria. Published by Elsevier B.V.

引用

页码：11 / 42

页数：32

共 64 条

[1] Different anomalies in a Jarratt family of iterative root-finding methods [J].