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Acta Mathematica Vietnamica

, Volume 43, Issue 2, pp 325–340 | Cite as

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

  • Vu Van Dong
Article
  • 61 Downloads

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

Quadratic program in Hilbert spaces Convex quadratic constraints Solution existence Legendre form Recession cone Solution set Solution map Optimal value function 

Mathematics Subject Classification (2010)

90C20 90C30 90C31 

Notes

Acknowledgements

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.01-2014.39. The author would like to thank Prof. Nguyen Nang Tam for valuable remarks and suggestions. The author would like to express his sincere thanks to the anonymous referees and editors for insightful comments and useful suggestions.

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Copyright information

© Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.Phucyen College of IndustryVinh PhucVietnam

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