Journal of Global Optimization

, Volume 57, Issue 4, pp 1139–1146 | Cite as

A note on set-semidefinite relaxations of nonconvex quadratic programs

  • Faizan Ahmed
  • Georg Still


We consider semidefinite, copositive, and more general, set-semidefinite programming relaxations of general nonconvex quadratic problems. For the semidefinite case a comparison between the feasible set of the original program and the feasible set of the relaxation has been given by Kojima and Tunçel (SIAM J Optim 10(3):750–778, 2000). In this paper the comparison is presented for set-positive relaxations which contain copositive relaxations as a special case.


Quadratic programs Semidefinite- Copositive- and Set-positive relaxations 

Mathematics Subject Classification

90C20 90C22 90C09 


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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.Department of Applied MathematicsUniversity of TwenteEnschedeThe Netherlands

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