Thursday, 14:15 - 14:40 h, Room: H 2035

 

Marco A. Lopez
Lower semicontinuity of the feasible set mapping of linear systems relative to their domains

Coauthors: A. Daniilidis, M.A. Goberna, R. Lucchetti

 

Abstract:
The talk deals with stability properties of the feasible set of linear inequality systems having a finite number of variables and an arbitrary number of constraints. Several types of perturbations preserving consistency are considered, affecting respectively, all of the data, the left-hand side data, or the right-hand side coefficients. Our analysis is focussed on (lower semi-)continuity properties of the feasible mapping confined to its effective domain, dimensional stability of the images and relations with Slater-type conditions.
The results presented here are established in a joint paper with A. Daniilidis, M.,A. Goberna, and R. Lucchetti.

 

Talk 3 of the invited session Thu.2.H 2035
"Stability of constraint systems" [...]
Cluster 24
"Variational analysis" [...]

 

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