A note on the priority of optimal multipoint methods for solving nonlinear equations

被引：6

作者：

Petkovic, M. S. ^{[1
]}

机构：

[1] Univ Nis, Dept Math, Fac Elect Engn, Nish 18000, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 10期

关键词：

Nonlinear equations; Multipoint iterative methods; Optimal methods; Priority; Historical notes; 3-STEP ITERATIVE METHODS; ORDER; FAMILY;

D O I：

10.1016/j.amc.2012.11.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this note is to clarify some questions of the priority and chronology of three-point optimal methods which could provide a better insight into the topic. We present two methods that appeared before the method of Bi et al. [W. Bi, Q. Wu, H. Ren, A new family of eight-order iterative methods for solving nonlinear equations, Appl. Math. Comput. 214 (2009) 236-245], which is often cited in the literature as the successor of the Kung-Traub method from 1974. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：5249 / 5252

页数：4

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