High-order iterative methods for solving nonlinear systems

M.A. Hafiz, A.E. Alamir

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.


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How to Cite this Article:

M.A. Hafiz, A.E. Alamir, High-order iterative methods for solving nonlinear systems, Journal of Mathematical and Computational Science, Vol 2, No 6 (2012), 1859-1867

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.

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