International Workshop "Metric Regularity Days", October 25th -26th 2011, UPMC, Paris

 The theory of metric regularity is a rapidly developing area motivated by various applications in optimisation and control. It is useful both for theoretical studies and in numerical analysis.

In particular, metric regularity is very instrumental as a tool for handling fundamental problems such as controllability, normality of necessary optimality conditions, feasibility, as well as implicit mapping theorems, sensitivity and robustness. It plays a major role in proving convergence of numerical methods for solving problems of optimal control, optimization, equilibrium, and beyond. Specifically, the metric regularity property reflects the idea of a posteriori error bounds for constraint systems. For discrete approximations of extremals in optimal control it leads to a posteriori error estimates. There is a natural relationship between metric regularity and convergence of a broad range of algorithms, such as Newton-type methods, providing also the rate of convergence.

Scientific Committee:
A. Dontchev, H. Frankowska, M. Quincampoix

Local Organizing Committee:
H. Frankowska, D. Hoehener and M. Mazzola

Invited Speakers:

Jean-Pierre Aubin (CREA, Ecole Polytechnique)

Dominique Azé (Institut de Mathématiques de Toulouse)

Piernicola Bettiol (Université de Bretagne Occidentale)

Radek Cibulka (University of West Bohemia, Czech Republic)

Asen Dontchev (American Math Society, Ann Arbor)

Michel Geoffroy (Université des Antilles et de la Guyane)

Russell Luke (Universitaet Goettingen)

Marco Mazzola (Université Pierre et Marie Curie)

Marc Quincampoix (Université de Bretagne Occidentale)

Michel Théra (Université de Limoges)

Lionel Thibault (Université Montpellier II)

Partially supported by Projet "Combinatoire et Optimisation" (Université Pierre et Marie Curie, CNRS - Institut de Mathématiques de Jussieu - UMR 7586) & ITN Marie Curie Network SADCO

Contact and Registration :

frankowska@math.jussieu.fr

tel. 33-(0)1-44-27-71-87
fax. 33-(0)1-44-27-27-24

Website:

METRIC REGULARITY DAYS