[Seminario] INVITACION SEMINARIO OPTIMIZACIÓN Y EQUILIBRIO, MIÉRCOLES 25 DE MAYO A LAS 16:30 HRS.

[Maria Ines]

Estimados Académicos y Alumnos,

Se les invita para este  Miércoles 25 de Mayo a las 16:30 hrs.  al 
Seminario Optimización y Equilibrio, el cual tendrá lugar en la Sala de 
Seminarios John Von Neumann CMM.

*/SEMINARIO

OPTIMIZACIÓN Y EQUILIBRIO

EXPOSITOR
Krzysztof Kurdyka
UNIVERSITE DE SAVOIE, France/ /

Title

"Convexifying positive polynomials and a proximity algorithm"


Abstract:/*

  We prove that if $f$ is a positive $C^2$ function on a convex compact 
set $X$ then it becomes strongly convex when multiplied by $(1+|x|^2)^N$ 
with $N$ large enough. For $f$ polynomial we give an explicit estimate 
for $N$, which depends on the size of the coefficients of $f$ and on the 
lower bound of $f$ on$X$. As an application of our convexification 
method we propose an algorithm which for a given polynomial $f$ on a 
convex compact semialgebraic set $X$ produces a sequence (starting from 
an arbitrary point in $X$) which converges to a (lower) critical point 
of $f$ on $X$. The convergence is based on the method of talweg which is 
a generalization of the Lojasiewicz gradient inequality. (Joint work 
with S. Spodzieja).

Miércoles 25 de Mayo a las 16:30 hrs, Sala de Seminarios John Von 
Neumann CMM, séptimo piso, torre norte.

Esperando contar con su asistencia les saluda,

Ma. Inés Rivera

-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://listas.dim.uchile.cl/pipermail/seminario/attachments/20160523/be99de90/attachment.html>