Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family

被引：0

作者：

Beatriz Campos

Alicia Cordero

Juan R. Torregrosa

Pura Vindel

机构：

[1] Universitat Jaume I,Instituto de Matemáticas y Aplicaciones de Castellón

[2] Universitat Politècnica de València,Instituto de Matemática Multidisciplinar

来源：

Numerical Algorithms | 2016年 / 73卷

关键词：

Iterative methods; Complex dynamics; Chebyshev-Halley’s family; 2-periodic orbits; 2-bulbs; 37F10; 65H05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The study of the dynamical behaviour of the operators defined by iterative methods help us to know more deeply the regions where these methods have a good performance. In this paper, we follow the dynamical study of a multipoint variant of the known Chebyshev-Halley’s family, showing the existence of attractive periodic orbits of period 2 for some values of the parameter.

引用

页码：141 / 156

页数：15

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