| 引用本文： |
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梁燕来,屈小妹,蒙诗德,吴庆军.D对称半正定矩阵反问题的最佳逼近解[J].广西科学,2008,15(3):250-253. [点击复制]
- LIANG Yan-lai,QU Xiao-mei,MENG Shi-de,WU Qing-jun.The Optimal Approximation Solution of Matrix Inverse Problems for D-symmetric Semidefinite Matrices[J].Guangxi Sciences,2008,15(3):250-253. [点击复制]
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| 摘要: |
| 对任意矩阵A*∈Rn×n,当矩阵方程AX=B在D对称半正定矩阵集D-2SR0n×n中的解集SA非空时,给出A*在SA中的最佳逼近解,并用数值算例验证最佳逼近解的有效性. |
| 关键词: 矩阵 D对称矩阵 半正定 反问题 最佳逼近 |
| DOI： |
| 投稿时间：2008-04-03修订日期：2008-07-24 |
| 基金项目:National Science Foundation 10676031;the Scientific Research Foundation of Guangxi Education Office 200707MS049 |
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| The Optimal Approximation Solution of Matrix Inverse Problems for D-symmetric Semidefinite Matrices |
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LIANG Yan-lai, QU Xiao-mei, MENG Shi-de, WU Qing-jun
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| (Department of Mathematics and Computer Science, Yulin Normal University, Yulin, Guangxi, 537000, China) |
| Abstract: |
| For given A*∈Rn×n, when the set of solution of the matrix equation AX=B in D-2SRn×n0 is nonempty, the optimal approximation solution of A* in SA is given, and a numerical example is performed to illustrate the validity of the optimal approximation solution. |
| Key words: matrix D-symmetric matrix semidefinite inverse problems optimal approximation |
