Journal of Optimization Theory and Applications

, Volume 75, Issue 3, pp 535–558 | Cite as

Role of copositivity in optimality criteria for nonconvex optimization problems

  • G. Danninger
Contributed Papers

Abstract

Second-order necessary and sufficient conditions for local optimality in constrained optimization problems are discussed. For global optimality, a criterion recently developed by Hiriart-Urruty and Lemarechal is thoroughly examined in the case of concave quadratic problems and reformulated into copositivity conditions.

Key Words

Copositive matrices convex maximization problems concave minimization global optimality conditions 

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Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • G. Danninger
    • 1
  1. 1.Department of Statistics and Computer SciencesUniversity of ViennaViennaAustria

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