Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/108550
 Title: Newton's method for symmetric quartic polynomials Author: Beatriz, CamposGarijo Real, AntonioJarque i Ribera, XavierVindel, Pura Keywords: Sistemes dinàmics diferenciablesDifferentiable dynamical systems Issue Date: 1-Nov-2016 Publisher: Elsevier B.V. Abstract: We investigate the parameter plane of the Newton's method applied to the family of quartic polynomials $p_{a,b}(z)=z^4+az^3+bz^2+az+1$, where $a$ and $b$ are real parameters. We divide the parameter plane $(a,b) \in \mathbb R^2$ into twelve open and connected {\it regions} where $p$, $p'$ and $p''$ have simple roots. In each of these regions we focus on the study of the Newton's operator acting on the Riemann sphere. Note: Versió postprint del document publicat a: https://doi.org/10.1016/j.amc.2016.06.021 It is part of: Applied Mathematics and Computation, 2016, vol. 290, p. 326-335 Related resource: https://doi.org/10.1016/j.amc.2016.06.021 URI: http://hdl.handle.net/2445/108550 ISSN: 0096-3003 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

Files in This Item:
File Description SizeFormat