A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations

• Autores: José Luis Hueso Pagoaga , Alicia Cordero, Eulalia Martínez Molada , Juan Ramón Torregrosa Sánchez
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 252, Nº 1, 2013, págs. 95-102
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.03.030
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• Resumen

  • A new technique to obtain derivative-free methods with optimal order of convergence in the sense of the Kung�Traub conjecture for solving nonlinear smooth equations is described. The procedure uses Steffensen-like methods and Padé approximants. Some numerical examples are provided to show the good performance of the new methods.