A semidefinite relaxation method for second-order cone polynomial complementarity problems

被引：0
|
作者：
Lulu Cheng
Xinzhen Zhang
机构：
[1] Tianjin University,School of Mathematics
来源：
Computational Optimization and Applications | 2020年 / 75卷
关键词：
Tensor complementarity problem; Second-order cone; Lasserre’s hierarchy; Semidefinite relaxation; 15A18; 15A69; 90C22;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper discusses how to compute all real solutions of the second-order cone tensor complementarity problem when there are finitely many ones. For this goal, we first formulate the second-order cone tensor complementarity problem as two polynomial optimization problems. Based on the reformulation, a semidefinite relaxation method is proposed by solving a finite number of semidefinite relaxations with some assumptions. Numerical experiments are given to show the efficiency of the method.
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页码：629 / 647
页数：18
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