Home > Articles > Published articles > The secant map applied to a real polynomial with multiple roots |
Date: | 2019 |
Abstract: | We investigate the plane dynamical system given by the secant map applied to a polynomial p having at least one multiple root of multiplicity d > 1. We prove that the local dynamics around the fixed points associated to the roots of p depend on the parity of d. |
Grants: | Ministerio de Economía y Competitividad MTM-2017-86795-C3-2-P Ministerio de Economía y Competitividad MTM-2017-86795-C3-3-P Ministerio de Economía y Competitividad MDM-2014-0445 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1374 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Multiple root ; Rational iteration ; Root finding algorithms ; Secant method |
Published in: | Discrete and Continuous Dynamical Systems. Series A, vol. 40 12 2019, p. 6783-6794, ISSN 1078-0947 |
Post-print 12 p, 514.1 KB |