Dynamical aspects of root-finding methods
Bernhard Reinke
I2M, Aix-Marseille Université
/user/bernhard.reinke/
Date(s) : 12/05/2020 iCal
11h00 - 12h00
WEBINAIRE – WEBINAR
Cela se passera par le biais de votre navigateur internet, au lien suivant :
https://wc1.math.uca.fr/b/sar-69j-cwf
qui fonctionnera à partir de 10h30 (pour faire des tests techniques éventuels, ou juste papoter).
Finding roots of univariate polynomials is one of the fundamental tasks of numerics, and there is still a wide gap between root finders that are well understood in theory and those that perform well in practice.
In this talk, we will give an overview of root-finding methods and their interpretation as complex dynamical systems. The main focus will the Weierstrass/Durand-Kerner method, where we show how to use methods from computer algebra to investigate the existence of attracting periodic cycles.
(This talk is based on joint work with Dierk Schleicher and Michael Stoll).
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