The secant map applied to a real polynomial with multiple roots
Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)

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

DOI: 10.3934/dcds.2020133

Post-print 12 p, 514.1 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
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