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http://hdl.handle.net/2445/108550
Title: | Newton's method for symmetric quartic polynomials |
Author: | Campos, Beatriz Garijo Real, Antonio Jarque i Ribera, Xavier Vindel, Pura |
Keywords: | Sistemes dinàmics diferenciables Differentiable 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 |
URI: | http://hdl.handle.net/2445/108550 |
Related resource: | https://doi.org/10.1016/j.amc.2016.06.021 |
ISSN: | 0096-3003 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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