Autor según el artículo: Garijo, Antonio; Jarque, Xavier;
Departamento: Enginyeria Informàtica i Matemàtiques
Autor/es de la URV: Garijo Real, Antonio
Palabras clave: Secant method Root finding algorithms Rational iteration on the plane Polynomial diffeomorphisms Plane maps Julia sets Henon mappings Family Entropy Dynamical systems Denominator Connectivity C2 C-2
Resumen: We investigate the root finding algorithm given by the secant method applied to a real polynomial p as a discrete dynamical system defined on R-2. We study the shape and distribution of the basins of attraction associated to the roots of p, and we also show the existence of other stable dynamics that might affect the efficiency of the algorithm. Finally we extend the secant map to the punctured torus T-infinity(2) which allow us to better understand the dynamics of the secant method near infinity and facilitate the use of the secant map as a method to find all roots of a polynomial.
Áreas temáticas: Statistical and nonlinear physics Physics, mathematical Physics and astronomy (miscellaneous) Physics and astronomy (all) Mathematics, applied Mathematical physics Matemática / probabilidade e estatística Interdisciplinar General physics and astronomy Astronomia / física Applied mathematics
Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 09517715
Direcció de correo del autor: antonio.garijo@urv.cat
Identificador del autor: 0000-0002-1503-7514
Fecha de alta del registro: 2023-02-19
Versión del articulo depositado: info:eu-repo/semantics/submittedVersion
Referencia al articulo segun fuente origial: Nonlinearity. 32 (11): 4557-4578
Referencia de l'ítem segons les normes APA: Garijo, Antonio; Jarque, Xavier; (2019). Global dynamics of the real secant method. Nonlinearity, 32(11), 4557-4578. DOI: 10.1088/1361-6544/ab2f55
URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2019
Tipo de publicación: Journal Publications
Repositori URV