A two-parameter third-order family of methods for solving nonlinear equations

被引：4
|
作者：
Chun, Changbum [1 ]
机构：
[1] Korea Univ Technol & Educ, Sch Liberal Arts, Chungnam 330708, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 189卷 / 02期
关键词：
Newton's method; iterative methods; nonlinear equations; order of convergence;
D O I：
10.1016/j.amc.2006.12.063
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a new two-parameter family of iterative methods for solving nonlinear equations which includes, as a particular case, the classical Potra and Ptak third-order method. Per iteration the new methods require two evaluations of the function and one evaluation of its first derivative. It is shown that each family member is cubically convergent. Several examples are given to illustrate the performance of the family members. (c) 2007 Elsevier Inc. All rights reserved.
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页码：1822 / 1827
页数：6
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