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Bulletin of Irkutsk State University. Series Mathematics, 2016, Volume 18, Pages 110–121 (Mi iigum282)  
A method for semidefinite quasiconvex maximization problem

R. Enkhbata, M. Bellalijb, K. Jbilouc, T. Bayartugsd

a Institute of Mathematics, National University of Mongolia
b University of Valenciennes and Hainaut-Cambresis, Departement des Mathematiques, Valenciennes, Nord-Pas-de-Calais, France
c University of Littoral Côte d'Opale, Calais, France
d University of Science and Technology, Mongolia
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Abstract: We introduce so-called semidefinite quasiconvex maximization problem. We derive new global optimality conditions by generalizing [9]. Using these conditions, we construct an algorithm which generates a sequence of local maximizers that converges to a global solution. Also, new applications of semidefinite quasiconvex maximization are given. Subproblems of the proposed algorithm are semidefinite linear programming.
Keywords: semidefinite linear programming, global optimality conditions, semidefinite quasiconvex maximization, algorithm, approximation set.
Document Type: Article
UDC: 519.853
MSC: 90C26, 93C05
Language: English
Citation: R. Enkhbat, M. Bellalij, K. Jbilou, T. Bayartugs, “A method for semidefinite quasiconvex maximization problem”, Bulletin of Irkutsk State University. Series Mathematics, 18 (2016), 110–121
Citation in format AMSBIB
\Bibitem{EnkBelJbi16}
\by R.~Enkhbat, M.~Bellalij, K.~Jbilou, T.~Bayartugs
\paper A method for semidefinite quasiconvex maximization problem
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2016
\vol 18
\pages 110--121
\mathnet{http://mi.mathnet.ru/iigum282}
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