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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:340

Article

Chun, Changbum¹  Neta, Beny² 

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

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

关键词: Iterative methods;    Order of convergence;    Rational maps;    Basin of attraction;    Conjugacy classes;   

DOI  :  10.1016/j.cam.2018.02.009

来源: Elsevier

【 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.

【 授权许可】

Free