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

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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… Click to show full abstract

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 undergo small perturbations.

Keywords: hilbert spaces; stability properties; parametric quadratically; stability; properties parametric; nonconvex quadratic

Journal Title: Acta Mathematica Vietnamica
Year Published: 2017

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