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Role of copositivity in optimality criteria for nonconvex optimization problems
Authors:G. Danninger
Affiliation:(1) Department of Statistics and Computer Sciences, University of Vienna, Vienna, Austria
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.
Keywords:Copositive matrices  convex maximization problems  concave minimization  global optimality conditions
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