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

被引：32
|
作者：
Cordero, Alicia [1 ]
Hueso, Jose L. [1 ]
Martinez, Eulalia [2 ]
Torregrosa, Juan R. [1 ]
机构：
[1] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Valencia 46022, Spain
[2] Univ Politecn Valencia, Inst Matemat Pura & Aplicada, Valencia 46022, Spain
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2013年 / 252卷
关键词：
Nonlinear equations; Derivative-free iterative methods; Convergence order; Efficiency index; Pade approximant; ORDER;
D O I：
10.1016/j.cam.2012.03.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：95 / 102
页数：8
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