Dynamical aspects of root-finding methods

Bernhard Reinke
I2M, Aix-Marseille Université

Date(s) : 12/05/2020   iCal
11 h 00 min - 12 h 00 min


Cela se passera par le biais de votre navigateur internet, au lien suivant :
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).


Retour en haut 

Secured By miniOrange