On the solution existence and stability of quadratically constrained nonconvex quadratic programs

On the solution existence and stability of quadratically constrained nonconvex quadratic programs

In this paper, we propose the sufficient conditions for the solution existence of a nonconvex quadratic program whose constraint set is defined by finitely many convex quadratic inequalities, and use the obtained results on solution existence to investigate some stability properties of a class of no...

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Veröffentlicht in:Optimization letters 2018-07, Vol.12 (5), p.1045-1063
Hauptverfasser: Tam, Nguyen Nang, Nghi, Tran Van
Format: Artikel
Sprache:eng
Schlagworte:
Computational Intelligence
Mathematics
Mathematics and Statistics
Numerical and Computational Physics
Operations Research/Decision Theory
Optimization
Original Paper
Simulation
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Zusammenfassung:In this paper, we propose the sufficient conditions for the solution existence of a nonconvex quadratic program whose constraint set is defined by finitely many convex quadratic inequalities, and use the obtained results on solution existence to investigate some stability properties of a class of nonconvex quadratic programs.
ISSN:1862-4472
1862-4480
DOI:10.1007/s11590-017-1163-4