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

页码：141 / 156

页数：16

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