Fourth-order two-step iterative methods for determining multiple zeros of non-linear equations

被引：0
|
作者：
Mir, N. A.
Rafiq, Naila
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan
[2] BZ Univ, Ctr Adv Studies Pure & Appl Math, Multan 60800, Pakistan
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2007年 / 84卷 / 07期
关键词：
convergence order; multiple zeros; non-linear equations; predictor-corrector methods; two-step iterative methods;
D O I：
10.1080/00207160701210646
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we describe and analyse two two-step iterative methods for finding multiple zeros of non-linear equations. We prove that the methods have fourth-order convergence. The methods calculate the multiple zeros with high accuracy. These are the first two-step multiple zero finding methods. The numerical tests show their better performance in the case of algebraic as well as non-algebraic equations.
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页码：971 / 977
页数：7
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