BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//7.2.3.1//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:6654@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20201023T110000
DTEND;TZID=Europe/Paris:20201023T120000
DTSTAMP:20241207T134450Z
URL:https://www.i2m.univ-amu.fr/evenements/the-weierstrass-root-finder-is-
 not-generally-convergent-bernhard-reinke/
SUMMARY:Bernhard Reinke (I2M\, Aix-Marseille Université): The Weierstrass 
 root finder is not generally convergent
DESCRIPTION:Bernhard Reinke: Finding roots of univariate polynomials is one
  of the fundamental tasks of numerics\, and there is still a wide gap betw
 een root finders that are well understood in theory and those that perform
  well in practice.\nWe will give an overview of root-finding methods and t
 heir interpretation as complex dynamical systems. The main focus will be t
 he Weierstrass/Durand-Kerner method and its similarities and differences t
 o the Newton and the Ehrlich-Aberth methods.\nIn particular\, we show how 
 to use methods from computer algebra to investigate (and/or establish) the
  existence of attracting periodic cycles\, as well as diverging orbits\, a
 nd present explicit examples of both phenomena for the Weierstrass method.
 \nWe thereby settle the conjecture by Smale that the Weierstrass root find
 er is not generally convergent.\nThis talk is based on joint work with Die
 rk Schleicher and Michael Stoll. https://arxiv.org/abs/2004.04777\n\n&nbsp
 \;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Bernhard_Reinke.jpg
CATEGORIES:Séminaire,Rauzy
LOCATION:Saint-Charles - FRUMAM (3ème étage)\, 3\, place Victor Hugo\, Ma
 rseille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3\, place Victor Hugo\, Mar
 seille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM 
 (3ème étage):geo:0,0
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:DAYLIGHT
DTSTART:20200329T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
END:DAYLIGHT
END:VTIMEZONE
END:VCALENDAR