Some Stability Properties of Parametric Quadratically Constrained Nonconvex Quadratic Programs in Hilbert Spaces

Some Stability Properties of Parametric Quadratically Constrained Nonconvex Quadratic Programs in Hilbert Spaces

Stability of nonconvex quadratic programming problems under finitely many convex quadratic constraints in Hilbert spaces is investigated. We present several stability properties of the global solution map, and the continuity of the optimal value function, assuming that the problem data undergoes sma...

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Veröffentlicht in:arXiv.org 2017-06
1. Verfasser: Vu Van Dong
Format: Artikel
Sprache:eng
Schlagworte:
Constraints
Hilbert space
Perturbation
Quadratic programming
Stability
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Zusammenfassung:Stability of nonconvex quadratic programming problems under finitely many convex quadratic constraints in Hilbert spaces is investigated. We present several stability properties of the global solution map, and the continuity of the optimal value function, assuming that the problem data undergoes small perturbations.
ISSN:2331-8422