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

作者：Cordero Alicia; Hueso Jose L; Martinez Eulalia; Torregrosa Juan R^*

来源：Journal of Computational and Applied Mathematics, 2013, 252: 95-102.

DOI：10.1016/j.cam.2012.03.030

• Nonlinear equations
• Derivative-free iterative methods
• Convergence order
• Efficiency index
• Pade approximant

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 Pade approximants. Some numerical examples are provided to show the good performance of the new methods.

• 出版日期2013-11