DYNAMICS OF A FAMILY OF RATIONAL OPERATORS OF ARBITRARY DEGREE-Reference-Cited by-同舟云学术

DYNAMICS OF A FAMILY OF RATIONAL OPERATORS OF ARBITRARY DEGREE

Published:2021-05-26 Issue:2 Volume:26 Page:188-208
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Campos Beatriz¹^ORCID,Canela Jordi²^ORCID,Garijo Antonio³^ORCID,Vindel Pura¹^ORCID

Affiliation:

1. Instituto de Matemáticas y Aplicaciones de Castellón, Universitat Jaume I, Av. Vicent Sos Baynat s/n, 12071 Castell de la Plana, Spain

2. Centre de Recerca Matemtica, Barcelona Graduate School of Mathematics, (BGSMath), Campus de Bellaterra, Edifici C, 08193 Bellaterra (Barcelona), Spain

3. Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Av. Països Catalans, 26 Campus Sescelades, 43007 Tarragona, Spain

Abstract

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 Oa,n,k of degree n+k operators, which includes several other families of maps obtained from other numerical methods. We study the dynamics of Oa,n,k and discuss for which parameters n and k these operators would be suitable from the numerical point of view.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference20 articles.

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