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Optimization Letters

, Volume 6, Issue 2, pp 363–373 | Cite as

Solution existence and stability of quadratically constrained convex quadratic programs

  • D. S. KimEmail author
  • N. N. Tam
  • N. D. Yen
Original Paper

Abstract

We propose verifiable necessary and sufficient conditions for the solution existence of a convex quadratic program whose constraint set is defined by finitely many convex linear-quadratic inequalities. A related stability analysis of the problem is also considered.

Keywords

Convex quadratic program Solution existence Recession cone Eaves-type theorem Stability analysis 

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Department of Applied MathematicsPukyong National UniversityPusanKorea
  2. 2.Department of MathematicsHanoi Pedagogical Institute No. 2Vinh PhucVietnam
  3. 3.Institute of MathematicsVietnamese Academy of Science and TechnologyHanoiVietnam

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