Dynamics of a family of rational operators of arbitrary degree

Dynamics of a family of rational operators of arbitrary degree

In this paper we analyse the dynamics of a family of rational operators coming from a fourth-order family of root-finding algorithms. We first show that it may be convenient to redefine the parameters to prevent redundancies and unboundedness of problematic parameters. After reparametrization, we ob...

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Bibliographic Details
Main Authors: Beatriz Campos, Jordi Canela, Antonio Garijo, Pura Vindel
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2021-05-01
Series:Mathematical Modelling and Analysis
Subjects:
iterative methods
parameter planes
complex dynamics of rational functions
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/12642

Internet

https://journals.vgtu.lt/index.php/MMA/article/view/12642

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