Fourth-order iterative methods free from second derivative

被引：26
|
作者：
Kou Jisheng [1 ]
Li Yitian
Wang Xiuhua
机构：
[1] Wuhan Univ, State Key Lab Water Resources & Hydropower Engn S, Wuhan 430072, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 184卷 / 02期
基金：
中国国家自然科学基金;
关键词：
non-linear equations; Newton's method; root-finding; iterative method;
D O I：
10.1016/j.amc.2006.05.189
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a family of new iterative methods with order of convergence four for solving non-linear equations. Per iteration these methods require one evaluation of the function and two of its first derivative. Analysis of efficiency, in term of function evaluations, shows that this family of methods has great superiority, which is also demonstrated by numerical examples. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：880 / 885
页数：6
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