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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 836901, 15 pages
Research Article

A Family of Derivative-Free Methods with High Order of Convergence and Its Application to Nonsmooth Equations

Instituto de Matemática Multidisciplinar and Instituto de Matemática Pura y Aplicada, Universitat Politècnica de València, 46022 Valencia, Spain

Received 4 January 2012; Accepted 14 March 2012

Academic Editor: Muhammad Aslam Noor

Copyright © 2012 Alicia Cordero 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.

Citations to this Article [5 citations]

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

  • F. Soleymani, and S. Shateyi, “Two Optimal Eighth-Order Derivative-Free Classes of Iterative Methods,” Abstract and Applied Analysis, vol. 2012, pp. 1–14, 2012. View at Publisher · View at Google Scholar
  • 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
  • M. J. P. Nijmeijer, “A Method to Accelerate the Convergence of the Secant Algorithm,” Advances in Numerical Analysis, vol. 2014, pp. 1–14, 2014. View at Publisher · View at Google Scholar
  • Alicia Cordero, Fazlollah Soleymani, Juan R. Torregrosa, and Stanford Shateyi, “Basins of Attraction for Various Steffensen-Type Methods,” Journal of Applied Mathematics, vol. 2014, pp. 1–17, 2014. View at Publisher · View at Google Scholar
  • M. J. P. Nijmeijer, “A parallel root-finding algorithm,” LMS Journal of Computation and Mathematics, vol. 18, no. 01, pp. 713–729, 2015. View at Publisher · View at Google Scholar