On Newton's method applied to real polynomials
Cilingir, Figen (Boston University. Dept. of Mathematics and Statistics)
Jarque i Ribera, Xavier (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)

Date:	2012
Abstract:	It is known that if we apply Newton's method to the complex function F(z) = P(z)e Q(z), with deg(Q) > 2, then the immediate basin of attraction of the roots of P has finite area. In this paper we show that under certain conditions on P, if deg(Q) = 1, then there is at least one immediate basin of attraction having infinite area.
Grants:	Ministerio de Ciencia e Innovación MTM2006-05849 Ministerio de Ciencia e Innovación MTM-2008-01486 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005/SGR-550
Note:	Agraïments: The first author would also like to thank the Ministerio de Ciencia y Innovacion of Spain for the financial support when visiting Boston University.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Published in:	Journal of Difference Equations and Applications, Vol. 18 Núm. 6 (2012) , p. 1067-1076, ISSN 1563-5120

DOI: 10.1080/10236198.2010.547493

Postprint 11 p, 476.9 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles