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Dynamics of a Family of Rational Operators of Arbitrary Degree by Campos, Beatriz; Canela, Jordi; Garijo, Antonio; Vindel, Pura is a scholarly article available to read on EtoBox.

What is Dynamics of a Family of Rational Operators of Arbitrary Degree about?

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 observe that these rational maps belong to a more general family $O_{a,n,k}$ of degree $n+k$ operators, which includes several other families of maps obtained from other numerical methods. We study the dynamics of $O_{a,n,k}$ and discuss for which parameters $n$ and $k$ these operators would be suitable from the numerical point of view.

Author

Campos, Beatriz; Canela, Jordi; Garijo, Antonio; Vindel, Pura

Published

2025

Language

EN