High-order iterative methods for solving nonlinear systems
Abstract
In this paper, we combining the Halley method with Householder method and using predictor–corrector technique to solve systems of nonlinear equations. One of the obtained methods have order eighteen of convergence. In addition, the proposed methods 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, A.E. Alamir. 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, A. E. Alamir, High-order iterative methods for solving nonlinear systems, J. Math. Comput. Sci. 2 (2012), 1859–1867.
BibTeX
@article{Hafiz2012,
author = {Hafiz, M.A. and Alamir, A.E.},
title = {High-order iterative methods for solving nonlinear systems},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {1859--1867},
doi = {}
}