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

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 th...

Full description

Saved in:
Bibliographic Details
Main Authors: H. Montazeri, F. Soleymani, S. Shateyi, S. S. Motsa
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/751975
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1110-757X
1687-0042