Different anomalies in a Jarratt family of iterative root-finding methods

被引：191
|
作者：
Alberto Magrenan, A. [1 ]
机构：
[1] Univ La Rioja, Dept Matemat & Comp, Logrono 26002, La Rioja, Spain
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 233卷
关键词：
Jarratt family; Complex dynamics; Nonlinear problems; Parameter space; Iterative methods; Basins of attraction; Stability; DYNAMICS;
D O I：
10.1016/j.amc.2014.01.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the behavior of a Jarratt family of iterative methods applied to quadratic polynomials is studied. Some anomalies are found in this family be means of studying the dynamical behavior of this fourth-order family of methods. Parameter spaces are shown and the study of the stability of all the fixed points is presented. Dynamical planes for members with good and bad dynamical behavior are also provided. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：29 / 38
页数：10
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