Some modifications of Newton's method with fifth-order convergence

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:209

Article

Kou, Jisheng^1,2  Li, Yitian²  Wang, Xiuhua³ 

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Wuhan Univ, State Key Lab Water Resources & Hydropower Engn S, Wuhan 430072, Peoples R China

[3] Xiaogan Univ, Dept Math, Xiaogan 432100, Hubei, Peoples R China

关键词: Newton's method;    non-linear equations;    iterative method;    root-finding;   

DOI  :  10.1016/j.cam.2006.10.072

来源: Elsevier

【 摘 要 】

In this paper, we present some new modifications of Newton's method for solving non-linear equations. Analysis of convergence shows that these methods have order of convergence five. Numerical tests verifying the theory are given and based on these methods, a class of new multistep iterations is developed. (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free