A family of methods for solving nonlinear equations

被引：4
|
作者：
Herceg, Djordje [1 ]
Herceg, Dragoslav [1 ]
机构：
[1] Univ Novi Sad, Fac Sci, Dept Math & Informat, Novi Sad, Serbia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 259卷
关键词：
Nonlinear equation; Newton's method; Fourth order method; Iterative methods; ITERATIVE METHODS FREE; NEWTONS METHOD; CAUCHYS METHOD; 4TH-ORDER CONVERGENCE; GINI MEANS; 3RD-ORDER; VARIANTS; ORDER; STOLARSKY; 4TH;
D O I：
10.1016/j.amc.2015.03.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a family of methods for solving nonlinear equations. Some well-known classical methods and their modifications belong to our family, for example Newton, Potra-Ptak, Chebyshev, Halley and Ostrowski's methods. Convergence analysis shows that our family contains methods of convergence order from 2 to 4. All our fourth order methods are optimal in terms of the Kung and Traub conjecture. Several examples are presented and compared. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：882 / 895
页数：14
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