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半定规划的限制逆问题与广义逆问题
引用本文:关秀翠,刁在筠.半定规划的限制逆问题与广义逆问题[J].运筹学学报,2002,6(2):19-26.
作者姓名:关秀翠  刁在筠
作者单位:1. 香港城市大学数学系,香港
2. 山东大学数学系,济南,250100
基金项目:Supported by NNSF in China under Grant No. 69772017. No.60172003,by Doctoral Foundation in Ministry of Education under Grant No. 97042207.
摘    要:本文提出了半定规划的限制逆问题与广义逆问题,利用半定规划的最优性条件,分别给出了其在l∞,l1,l2模意义下的数学模型,它们仍为半定规划问题。

关 键 词:最优性条件  半定规划  限制逆问题  广义逆问题

Restricted Inverse and Extended Inverse Semidefinite Programming Problems
XIUCUI GUAN.Restricted Inverse and Extended Inverse Semidefinite Programming Problems[J].OR Transactions,2002,6(2):19-26.
Authors:XIUCUI GUAN
Abstract:The restricted inverse and extended inverse semidefinite programming problems are proposed in this paper. Based on the optimality conditions of SDP problem, we present its mathematical models under l∞, l1, l2 norms which are also semidefinite programming problems.
Keywords:optimality conditions  semidefinite programming  restricted inverse problem  extended inverse problem  
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