| ON SOME PROPERTIES OF SOLUTIONS TO SEMIDEFINITE PROGRAMMING |
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| 作者姓名： | 韩乔明 |
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| 作者单位： | Han Qiao-ming Department of Mathematics，Nanjing University，Nanjing 210093，PRC |
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| 基金项目： | Project 19671041 Supported by NSFC |
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| 摘 要： | It is well known that for symmetric linear programming there exists a strictly complementary solution if the primal and the dual problems are both feasible. However, this is not necessary true for symmetric or general semide finite programming even if both the primal problem and its dual problem are strictly feasible. Some other properties are also concerned.
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ON SOME PROPERTIES OF SOLUTIONS TO SEMIDEFINITE PROGRAMMING |
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| Han Qiao-ming.ON SOME PROPERTIES OF SOLUTIONS TO SEMIDEFINITE PROGRAMMING[J].Numerical Mathematics A Journal of Chinese Universities English Series,1997(2). |
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| Authors: | Han Qiao-ming |
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| Institution: | Han Qiao-ming Department of Mathematics,Nanjing University,Nanjing 210093,PRC |
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| Abstract: | It is well known~(9]) that for symmetric linear programming there exists a strictly complementary solution if the primal and the dual problems are both feasible. However, this is not necessary true for symmetric or general semidefinite programming even if both the primal problem and its dual problem are strictly feasible. Some other properties are also concerned. |
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| Keywords: | semide finite programming (SDP) linear programming (LP) strictly feasible strictly complementary optimal pair |
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