65. Parametric stationary point sets need MFCQ for stably being topological manifolds
Invited abstract in session FB-3: In memory of Georg Still - part 3, stream In memory of Georg Still.
Friday, 10:05 - 11:20Room: M:J
Authors (first author is the speaker)
| 1. | Harald Guenzel
|
| Dept. of Mathematics (C), RWTH Aachen University | |
| 2. | Daniel Hernandez Escobar
|
| Department of Informatics, University of Bergen | |
| 3. | Jan-J Ruckmann
|
| Department of Informatics, University of Bergen |
Abstract
We consider a parametric standard optimization problem with smooth
problem data and discuss the question under which condition its stationary point set
stably constitutes a topological manifold having the same dimension as that of the
parameter space. In other words, we ask, when this set is locally a manifold of
that dimension and it also stays such a manifold after small
perturbations of the problem data.
We show that this question can only be answered affirmatively
if the Mangasarian-Fromovitz Constraint Qualification holds at
the stationary point under consideration.
Keywords
- SS - Advances in Nonlinear Optimization and Applications
- Linear and nonlinear optimization
Status: accepted
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