On a New Method for Computing the Numerical Solution of Systems of Nonlinear Equations

被引：52

作者：

Montazeri, H. ^{[2
]}

Soleymani, F. ^{[3
]}

Shateyi, S. ^{[1
]}

Motsa, S. S. ^{[4
]}

机构：

[1] Univ Venda, Dept Math, ZA-0950 Thohoyandou, South Africa

[2] Islamic Azad Univ, Sirjan Branch, Dept Math, Sirjan, Iran

[3] Islamic Azad Univ, Zahedan Branch, Dept Math, Zahedan, Iran

[4] Univ KwaZulu Natal, Sch Math Sci, ZA-3209 Pietermaritzburg, South Africa

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

关键词：

D O I：

10.1155/2012/751975

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a system of nonlinear equations F (x) = 0. A new iterative method for solving this problem numerically is suggested. The analytical discussions of the method are provided to reveal its sixth order of convergence. A discussion on the efficiency index of the contribution with comparison to the other iterative methods is also given. Finally, numerical tests illustrate the theoretical aspects using the programming package Mathematica.

引用

页数：15

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