Author, as appears in the article.: Campos, Beatriz; Canela, Jordi; Garijo, Antonio; Vindel, Pura;
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Garijo Real, Antonio
Keywords: Stability Parameter planes Iterative methods Complex dynamics of rational functions
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 O-a,O-n,O-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,O-n,O-k and discuss for which parameters n and k these operators would be suitable from the numerical point of view.
Thematic Areas: Modeling and simulation Mathematics Analysis
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: antonio.garijo@urv.cat
Author identifier: 0000-0002-1503-7514
Last page: 208
Record's date: 2024-07-27
Journal volume: 26
Papper version: info:eu-repo/semantics/publishedVersion
Link to the original source: https://journals.vgtu.lt/index.php/MMA/article/view/12642
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Mathematical Modelling And Analysis. 26 (2): 188-208
APA: Campos, Beatriz; Canela, Jordi; Garijo, Antonio; Vindel, Pura; (2021). Dynamics of a Family of Rational Operators of Arbitrary Degree. Mathematical Modelling And Analysis, 26(2), 188-208. DOI: 10.3846/mma.2021.12642
Article's DOI: 10.3846/mma.2021.12642
Entity: Universitat Rovira i Virgili
Journal publication year: 2021
First page: 188
Publication Type: Journal Publications
Repositori URV