Semidefinite relaxation bounds for indefinite homogeneous quadratic optimization

Simai He, Zhi Quan Luo, Jiawang Nie, Shuzhong Zhang

Research output: Contribution to journalArticlepeer-review

63 Scopus citations


This paper studies the relationship between the optimal value of a homogeneous quadratic optimization problem and its semidefinite programming (SDP) relaxation. We consider two quadratic optimization models: (1) min{x*Cx * Akx ≥ 1, k = 0,1,..., m, x € F n} and (2) max{x*Cx

Original languageEnglish (US)
Pages (from-to)503-523
Number of pages21
JournalSIAM Journal on Optimization
Issue number2
StatePublished - Jun 1 2008


  • Approximation ratio
  • Probabilistic solution
  • Quadratic optimization
  • SDP relaxation

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