Some third-order families of iterative methods for solving nonlinear equations

被引：9

作者：

Chun, Changbum ^{[1
]}

机构：

[1] Korea Univ Technol & Educ, Sch Liberal Arts, Cheonan 330708, Chungnam, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 188卷 / 01期

关键词：

Newton's method; iterative methods; nonlinear equations; order of convergence;

D O I：

10.1016/j.amc.2006.10.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a convenient third-order iteration formula improving Newton's method for solving nonlinear equations. With any two iteration functions of order two the formula provides one-parameter third-order family of methods; each family member is free from second derivatives and per iteration it requires three evaluations of the given function and its derivative. Several numerical examples are given to illustrate the efficiency and performance of some of the presented methods. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：924 / 933

页数：10

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