Autor según el artículo: Canela, J; Evdoridou, V; Garijo, A; Jarque, X
Departamento: Enginyeria Informàtica i Matemàtiques
Autor/es de la URV: Canela Gracia, Joan / Garijo Real, Antonio
Palabras clave: 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
Resumen: 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.
Áreas temáticas: Mathematics (miscellaneous) Mathematics (all) Mathematics Matemática / probabilidade e estatística General mathematics
Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
Direcció de correo del autor: joan.canela@urv.cat antonio.garijo@urv.cat
Identificador del autor: 0000-0002-1503-7514
Fecha de alta del registro: 2024-01-13
Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
Enlace a la fuente original: https://link.springer.com/article/10.1007/s00209-023-03215-8
URL Documento de licencia: http://repositori.urv.cat/ca/proteccio-de-dades/
Referencia al articulo segun fuente origial: Mathematische Zeitschrift. 303 (3):
Referencia 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 del artículo: 10.1007/s00209-023-03215-8
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2023
Tipo de publicación: Journal Publications
Repositori URV