A method for semidefinite quasiconvex maximization problem
The Bulletin of Irkutsk State University. Series Mathematics, Tome 18 (2016), pp. 110-121
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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.
@article{IIGUM_2016_18_a7,
author = {R. Enkhbat and M. Bellalij and K. Jbilou and T. Bayartugs},
title = {A method for semidefinite quasiconvex maximization problem},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {110--121},
publisher = {mathdoc},
volume = {18},
year = {2016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2016_18_a7/}
}
TY - JOUR AU - R. Enkhbat AU - M. Bellalij AU - K. Jbilou AU - T. Bayartugs TI - A method for semidefinite quasiconvex maximization problem JO - The Bulletin of Irkutsk State University. Series Mathematics PY - 2016 SP - 110 EP - 121 VL - 18 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IIGUM_2016_18_a7/ LA - en ID - IIGUM_2016_18_a7 ER -
%0 Journal Article %A R. Enkhbat %A M. Bellalij %A K. Jbilou %A T. Bayartugs %T A method for semidefinite quasiconvex maximization problem %J The Bulletin of Irkutsk State University. Series Mathematics %D 2016 %P 110-121 %V 18 %I mathdoc %U http://geodesic.mathdoc.fr/item/IIGUM_2016_18_a7/ %G en %F IIGUM_2016_18_a7
R. Enkhbat; M. Bellalij; K. Jbilou; T. Bayartugs. A method for semidefinite quasiconvex maximization problem. The Bulletin of Irkutsk State University. Series Mathematics, Tome 18 (2016), pp. 110-121. http://geodesic.mathdoc.fr/item/IIGUM_2016_18_a7/