2004 Peru

2004 Peru

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CIMPA-UNESCO-Andean Countries

Variational analysis, Optimization, Optimal Control

Objectives :

The three subjects of this school are strongly interconnected. They will be presented along three viewpoints:

theoretical aspects, showing the links with certain aspects of functional analysis, the geometry of Banach spaces, nonlinear analysis, and maximal monotone operators;
motivations and applications, especially for dynamic optimization, the calculus of variations, mathematical programming, networks, large scale systems, decomposition;
algorithmic and numerical aspects, as nonlinear programming, algorithms for nonsmooth optimization, and numerical optimal control.

Chairmen:

M. Lassonde (Université Antilles-Guyane, France) and W. Sosa Sandoval (IMCA, Peru)

Main speakers:

F. Bonnans (INRIA, France), E. Casas (Universidad Cantabria, Spain), R. Cominetti (Universidad de Chile, Chili), J.-P. Crouzeix (Université Blaise Pascal, France), A. Iusem (IMPA, Brazil), M. Lassonde (Université Antilles-Guyane, France), Ph. Mahey (Université Blaise Pascal, France), C. Sagastizabal (IMPA, Brazil), A. Sartenaer (Université de Namur, Belgium)

Scientific committee:

F. Bonnans (INRIA, France), C. Camacho (IMPA, Brésil and IMCA, Peru), R. Correa (Universidad de Chile, Chili), J.-P. Crouzeix (Université Blaise Pascal, France), F. Escalante del Aguila (IMCA, Peru), M. Lassonde (Université Antilles-Guyane, France), W. Sosa Sandoval (IMCA, Peru)

Organization Committee:

C. Camacho (IMPA, Brazil and IMCA, Peru), F. Escalante del Aguila (IMCA, Peru), W. Sosa Sandoval (IMCA, Peru)

Working languages:

English, Spanish

Date and location :

February 9-27, 2004, IMCA Lima (Peru)

Scientific programme :

3 basic courses of 10 hours each:

F. Bonnans: Deterministic and stochastic optimal control problem
J.-P. Crouzeix : Optimization and variational inequalities
M. Lassonde: Variational analysis

6 advanced courses of 6 hours each, followed by specialized seminars:

E. Casas: Optimal control of partial differential equations: theoretical and numerical aspects
R. Cominetti: Congestion and equilibrium in transportation networks
A. Iusem: Set-valued analysis
Ph. Mahey: Networks; application to telecommunication
C. Sagastizabal: Algorithms for nonsmooth optimization; application to the production of electrical energy
A. Sartenaer: Recent nonlinear programming algorithms and industrial applications

Prerequisites :

The school is mainly destinated to students and young researchers from Andean countries.