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Journal of Applied Mathematics
Volume 2014, Article ID 705375, 9 pages
Research Article

A Class of Steffensen-Type Iterative Methods for Nonlinear Systems

1Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran
2Department of Mathematics, University of Venda, Private Bag Box X5050, Thohoyandou 0950, South Africa

Received 23 December 2013; Revised 17 February 2014; Accepted 3 March 2014; Published 10 April 2014

Academic Editor: Alicia Cordero

Copyright © 2014 F. Soleymani et al. 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.


A class of iterative methods without restriction on the computation of Fréchet derivatives including multisteps for solving systems of nonlinear equations is presented. By considering a frozen Jacobian, we provide a class of m-step methods with order of convergence . A new method named as Steffensen-Schulz scheme is also contributed. Numerical tests and comparisons with the existing methods are included.