New classes of iterative methods for nonlinear equations

被引：29
|
作者：
Noor, Muhammad Aslam [1 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 191卷 / 01期
关键词：
variational iteration; iterative method; convergence; Newton method; Taylor series; examples;
D O I：
10.1016/j.amc.2007.02.098
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we suggest and analyze some new iterative methods for solving nonlinear equations f(x) = 0 by using the variational iteration technique. These new methods includes the Householder and its variant forms as special cases. We also give several examples to illustrate the efficiency of these methods. Comparison with other similar methods is also given. These new methods can be considered as an alternative to the Newton method. This technique can be used to suggest a wide class of new iterative methods for solving system of nonlinear equations. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：128 / 131
页数：4
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