Chaos in King's iterative family

被引：105

作者：

Cordero, Alicia ^{[1
]}

Garcia-Maimo, Javier ^{[2
]}

Torregrosa, Juan R. ^{[1
]}

Vassileva, Maria P. ^{[2
]}

Vindel, Pura ^{[3
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Valencia 46022, Spain

[2] Inst Tecnol Santo Domingo, Santo Domigo, Dominican Rep

[3] Univ Jaume 1, Inst Matemat & Aplicac Castellon, Castellon de La Plana, Spain

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 08期

关键词：

Nonlinear equations; Iterative methods; Dynamical behavior; Quadratic polynomials; Fatou and Julia sets; King's family; NONLINEAR EQUATIONS; DYNAMICS; ALGORITHMS;

D O I：

10.1016/j.aml.2013.03.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the dynamics of King's family of iterative schemes for solving nonlinear equations is studied. The parameter spaces are presented, showing the complexity of the family. The analysis of the parameter space allows us to find elements of the family that have bad convergence properties, and also other ones with stable behavior. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：842 / 848

页数：7

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