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Página principal > Artículos > Artículos publicados > On Newton's method applied to real polynomials |
Fecha: | 2012 |
Resumen: | 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. |
Ayudas: | 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 |
Nota: | 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. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Publicado en: | Journal of Difference Equations and Applications, Vol. 18 Núm. 6 (2012) , p. 1067-1076, ISSN 1563-5120 |
Postprint 11 p, 476.9 KB |