On a New Method for Computing the Numerical Solution of Systems of Nonlinear Equations-Reference-Cited by-同舟云学术

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

Published:2012 Issue: Volume:2012 Page:1-15
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Montazeri H.¹,Soleymani F.²,Shateyi S.³,Motsa S. S.⁴

Affiliation:

1. Department of Mathematics, Islamic Azad University, Sirjan Branch, Sirjan, Iran

2. Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran

3. Department of Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa

4. School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Pietermaritzburg 3209, South Africa

Abstract

We consider a system of nonlinear equationsF(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.

Funder

University of Venda

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/751975.pdf

Reference20 articles.

1. Globally Convergent Inexact Newton Methods

2. A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations

3. A Hybrid of the Newton-GMRES and Electromagnetic Meta-Heuristic Methods for Solving Systems of Nonlinear Equations

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