Autor segons l'article: Canela, J; Evdoridou, V; Garijo, A; Jarque, X
Departament: Enginyeria Informàtica i Matemàtiques
Autor/s de la URV: Canela Gracia, Joan / Garijo Real, Antonio
Paraules clau: Unboundedness Simple connectivity Root finding algorithms Rational maps Julia and fatou sets Holomorphic dynamics Basins of attraction unboundedness simple connectivity root finding algorithms polynomials julia and fatou sets dynamics connectivity basins of attraction
Resum: In this paper we study the dynamics of damped Traub’s methods Tδ when applied to polynomials. The family of damped Traub’s methods consists of root finding algorithms which contain both Newton’s (δ= 0) and Traub’s method (δ= 1). Our goal is to obtain several topological properties of the basins of attraction of the roots of a polynomial p under T1, which are used to determine a (universal) set of initial conditions for which convergence to all roots of p can be guaranteed. We also numerically explore the global properties of the dynamical plane for Tδ to better understand the connection between Newton’s method and Traub’s method.
Àrees temàtiques: Mathematics (miscellaneous) Mathematics (all) Mathematics Matemática / probabilidade e estatística General mathematics
Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
Adreça de correu electrònic de l'autor: joan.canela@urv.cat antonio.garijo@urv.cat
Identificador de l'autor: 0000-0002-1503-7514
Data d'alta del registre: 2024-08-03
Versió de l'article dipositat: info:eu-repo/semantics/publishedVersion
Enllaç font original: https://link.springer.com/article/10.1007/s00209-023-03215-8
URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
Referència a l'article segons font original: Mathematische Zeitschrift. 303 (3):
Referència de l'ítem segons les normes APA: Canela, J; Evdoridou, V; Garijo, A; Jarque, X (2023). On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub. Mathematische Zeitschrift, 303(3), -. DOI: 10.1007/s00209-023-03215-8
DOI de l'article: 10.1007/s00209-023-03215-8
Entitat: Universitat Rovira i Virgili
Any de publicació de la revista: 2023
Tipus de publicació: Journal Publications