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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 318165, 14 pages
http://dx.doi.org/10.1155/2012/318165
Research Article

Two Optimal Eighth-Order Derivative-Free Classes of Iterative Methods

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

Received 21 August 2012; Accepted 20 September 2012

Academic Editor: Turgut Öziş

Copyright © 2012 F. Soleymani and S. Shateyi. 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.

Citations to this Article [4 citations]

The following is the list of published articles that have cited the current article.

  • Farahnaz Soleimani, Fazlollah Soleymani, and Stanford Shateyi, “Some Iterative Methods Free from Derivatives and Their Basins of Attraction for Nonlinear Equations,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–10, 2013. View at Publisher · View at Google Scholar
  • Young Ik Kim, and Young Hee Geum, “A Two-Parameter Family of Fourth-Order Iterative Methods with Optimal Convergence for Multiple Zeros,” Journal of Applied Mathematics, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Carlos Andreu, Noelia Cambil, Alicia Cordero, and Juan R. Torregrosa, “A class of optimal eighth-order derivative-free methods for solving the Danchick–Gauss problem,” Applied Mathematics and Computation, vol. 232, pp. 237–246, 2014. View at Publisher · View at Google Scholar
  • T. Lotfi, F. Soleymani, Z. Noori, A. Kılıçman, and F. Khaksar Haghani, “Efficient Iterative Methods with and without Memory Possessing High Efficiency Indices,” Discrete Dynamics in Nature and Society, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar