High-order optimality in nonlinear optimization: necessary conditions and a conceptual approach of evaluation complexity -- Philippe Toint

Data dell'evento: 
Monday, 23 October, 2017 - 11:30
Luogo: 
Aula Magna DIAG, Via Ariosto 25, Roma
Speaker: 
Philippe Toint
Descrizione

MORE@DIAG

Speaker:
Philippe Toint

Université de Namur
Namur, Belgique

Time: Monday the 23rd of october, 11:30

Place: Aula Magna, DIAG
           Via Ariosto 25, Roma

Title:
High-order optimality in nonlinear optimization: necessary conditions
and a conceptual approach of evaluation complexity

Abstract:
We consider recent progress in the use of high-order models to
derive worst-case evaluation complexity of algorithms for solving nonlinear
optimization problems, both constrained and unconstrained. This include a
discussion of what is meant by high-order critical points and the intrinsic
limitations that arise in connection with this concept. We give some new
results which improve existing evaluation complexity bounds and finally
consider the difficulties of of further progress in this domain.

Contatto: 
Francisco Facchinei, francisco.facchinei@uniroma1.it