Superattracting cycles for some Newton type iterative methods

作     者：AMAT Sergio BUSQUIER Sonia NAVARRO Emilie PLAZA Sergio 

作者机构：Departamento de Matemtica Aplicada y Estadistica Universidad Politécnica de Cartagena Ecole Généraliste d'Ingénieurs de Marseille (EGIM) Departamento de Matemticas Facultad de Ciencias Universidad de Santiago de Chile 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2011年第54卷第3期

页      面：539-544页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：supported in part by Spanish Grants MTM2007-62945 Fondecyt Grant 1095025, Chile 

主　　题：牛顿 迭代法 周期 动力特性分析 迭代方法 方程根 非线性 多项式 

摘      要：The paper is devoted to the analysis of certain dynamical properties of a family of iterative Newton type methods used to find roots of non-linear equations. We present a procedure for constructing polynomials in such a way that superattracting cycles of any prescribed length occur when these iterative methods are applied. This paper completes the study begun in Amat, Bermúclez, Busquier, et al., (2009).