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

被引：9
|
作者：
Campos, Beatriz [1 ]
Cordero, Alicia [2 ]
Torregrosa, Juan R. [2 ]
Vindel, Pura [1 ]
机构：
[1] Univ Jaume 1, Inst Matemat & Aplicac Castellon, Castellon de La Plana, Spain
[2] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia, Spain
来源：
NUMERICAL ALGORITHMS | 2016年 / 73卷 / 01期
关键词：
Iterative methods; Complex dynamics; Chebyshev-Halley's family; 2-periodic orbits; 2-bulbs; DYNAMICS;
D O I：
10.1007/s11075-015-0089-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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
收藏
页码：141 / 156
页数：16
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