Author, as appears in the article.: Garijo, Antonio; Jarque, Xavier;
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Garijo Real, Antonio
Project code: PID2020-118281GB-C33
Keywords: Connectivity Iteration Julia sets Root finding algorithms Secant method
Abstract: We investigate the root finding algorithm given by the Secant method applied to a real polynomial p of degree k as a discrete dynamical system defined on R-2. We extend the Secant map to the real projective plane RP2. The line at infinity l(infinity)is invariant, and there is one (if k is odd) or two (if k is even) fixed points at l(infinity ).We show that these are of saddle type, and this allows us to better understand the dynamics of the Secant map near infinity.
Thematic Areas: Algebra and number theory Analysis Applied mathematics Astronomia / física Interdisciplinar Matemática / probabilidade e estatística Mathematics, applied
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: antonio.garijo@urv.cat
Author identifier: 0000-0002-1503-7514
Record's date: 2024-08-03
Papper version: info:eu-repo/semantics/acceptedVersion
Link to the original source: https://www.tandfonline.com/doi/abs/10.1080/10236198.2022.2044476?journalCode=gdea20
Funding program: Herramientas para el análisis de diagramas de bifurcación en sistemas dinámicos
Papper original source: Journal Of Difference Equations And Applications. 28 (10): 1334-1347
APA: Garijo, Antonio; Jarque, Xavier; (2022). Dynamics of the Secant map near infinity. Journal Of Difference Equations And Applications, 28(10), 1334-1347. DOI: 10.1080/10236198.2022.2044476
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Acronym: ATBiD
Article's DOI: 10.1080/10236198.2022.2044476
Entity: Universitat Rovira i Virgili
Journal publication year: 2022
Funding program action: Proyectos I+D Generación de Conocimiento
Publication Type: Journal Publications
Repositori URV