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.
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页码：882 / 895
页数：14
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