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.
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页码：141 / 156
页数：15
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