Extended and modified Halley’s iterative method for solving nonlinear systems
Abstract
In this paper, an efficient method is constructed and used for solving system of nonlinear equations. The method based on a Halley’s iterative method (HIM). This technique is revised and modified to solve a system of nonlinear equations of n-dimension with n-variables. One of the obtained methods have order six of convergence. In addition, the proposed method has been tested on a series of examples published in the literature and show good results when compared it with the previous literature.
Copyright © 2012 M. A. Hafiz, Mohamed S. M. Bahgat. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. A. Hafiz, M. S. M. Bahgat, Extended and modified Halley’s iterative method for solving nonlinear systems, J. Math. Comput. Sci. 2 (2012), 1512–1521.
BibTeX
@article{Hafiz2012,
author = {Hafiz, M. A. and Bahgat, Mohamed S. M.},
title = {Extended and modified Halley’s iterative method for solving nonlinear systems},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {1512--1521},
doi = {}
}