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: 2023-02-19

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: http://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