Some new sixth-order methods for solving non-linear equations

被引：11
|
作者：
Kou, Jisheng [1 ]
机构：
[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
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 189卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Newton's method; Chebyshev's method; Halley's method; super-Halley method; non-linear equations; iterative method;
D O I：
10.1016/j.amc.2006.11.117
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present some new sixth-order methods based on the Chebyshev-Halley methods. Per iteration the new methods require an additional evaluation of the function compared with Chebyshev-H alley methods. Analysis of efficiency shows that the new methods can compete with Newton's method and the classical third-order methods, as we show in numerical results. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：647 / 651
页数：5
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