Construction of third-order modifications of Newton's method

被引：11
|
作者：
Chun, Changbum [1 ]
机构：
[1] Korea Univ Technol & Educ, Sch Liberal Arts, Cheonan 330708, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 189卷 / 01期
关键词：
Newton's method; iterative methods; nonlinear equations; order of convergence;
D O I：
10.1016/j.amc.2006.11.127
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an approach for constructing third-order modifications of Newton's method using second-order iteration formulas is presented. Several numerical examples are given to compare some of the newly obtained methods with the other third-order methods. (c) 2006 Elsevier Inc. All rights reserved..
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页码：662 / 668
页数：7
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