Modified Halley's method free from second derivative

被引：19

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 | 2006年 / 183卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Halley's method; Newton's method; non-linear equations; root-finding; iterative method;

D O I：

10.1016/j.amc.2006.05.097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive a class of new third-order methods free from second derivative from Halley's method. Per iteration the methods require two evaluations of the function and one evaluation of its first derivative. Analysis of efficiency, in term of function evaluations, of this class of methods shows that they have definite practical utility, which is also demonstrated by numerical examples. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：704 / 708

页数：5

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