Operations Research Transactions >
2016 , Vol. 20 >Issue 3: 68 - 78
DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2016.03.007
The optimality conditions and duality theory for multiobjective semidefinite programming
Received date: 2015-09-15
Online published: 2016-09-15
This paper aims at the optimality conditions, duality of multiobjective semidefinite programming problems and the optimality conditions for nonconvex semidefinite programming．We first obtain a necessary and sufficient conditions of KKT condition for nonconvex semidefinite programming, based on this result, the optimality necessary conditions are presented．Furthermore, we discuss the optimality necessary or sufficient conditions for multiobjective semidefinite programming and construct Wolfe dual model for the corresponding problem．Finally, weak and strong duality theorems are established．
LI Yongling, YANG Yang, LUO Honglin . The optimality conditions and duality theory for multiobjective semidefinite programming[J]. Operations Research Transactions, 2016 , 20(3) : 68 -78 . DOI: 10.15960/j.cnki.issn.1007-6093.2016.03.007
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