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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:252

Article

Cordero, Alicia¹  Hueso, Jose L.¹  Martinez, Eulalia²  Torregrosa, Juan R.¹ 

[1] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Valencia 46022, Spain

[2] Univ Politecn Valencia, Inst Matemat Pura & Aplicada, Valencia 46022, Spain

关键词: Nonlinear equations;    Derivative-free iterative methods;    Convergence order;    Efficiency index;    Pade approximant;   

DOI  :  10.1016/j.cam.2012.03.030

来源: Elsevier

【 摘 要 】

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. (c) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free