scholarly journals Copositive programming and related problems

2014 ◽  
Author(s):  
F. Ahmed
2020 ◽  
Vol 28 (1) ◽  
pp. 89-107
Author(s):  
O. I. Kostyukova ◽  
T. V. Tchemisova ◽  
O. S. Dudina

2020 ◽  
Vol 4 (2) ◽  
pp. 444-449
Author(s):  
Teruki Kato ◽  
Yoshio Ebihara ◽  
Tomomichi Hagiwara

Author(s):  
O. I. Kostyukova ◽  
T. V. Tchemisova

We consider a special class of optimization problems where the objective function is linear w.r.t. decision variable х and the constraints are linear w.r.t. х and quadratic w.r.t. index t defined in a given cone. The problems of this class can be considered as a generalization of semi-definite and copositive programming problems. For these problems, we formulate an equivalent semi-infinite problem and define a set of immobile indices that is either empty or a union of a finite number of convex bounded polyhedra. We have studied properties of the feasible sets of the problems under consideration and use them to obtain new efficient optimality conditions for generalized copositive problems. These conditions are CQ-free and have the form of criteria.


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