| D对称半正定矩阵反问题的最佳逼近解 |
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| 引用本文： | 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. |
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| 作者姓名： | 梁燕来 屈小妹 蒙诗德 吴庆军 |
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| 作者单位： | 玉林师范学院数学与计算机科学系,广西玉林,537000;玉林师范学院数学与计算机科学系,广西玉林,537000;玉林师范学院数学与计算机科学系,广西玉林,537000;玉林师范学院数学与计算机科学系,广西玉林,537000 |
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| 基金项目： | 国家自然科学基金，the Scientific Research Foundation of Guangxi Education Office |
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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.
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| 关 键 词： | 矩阵 D对称矩阵 半正定 反问题 最佳逼近 |
| 收稿时间： | 2008/4/3 0:00:00 |
| 修稿时间： | 2008/7/24 0:00:00 |
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 and WU Qing-jun.The Optimal Approximation Solution of Matrix Inverse Problems for D-symmetric Semidefinite Matrices[J].Guangxi Sciences,2008,15(3):250-253. |
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| Authors: | LIANG Yan-lai QU Xiao-mei MENG Shi-de and WU Qing-jun |
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| Institution: | Department of Mathematics and Computer Science, Yulin Normal University, Yulin, Guangxi, 537000, China,Department of Mathematics and Computer Science, Yulin Normal University, Yulin, Guangxi, 537000, China,Department of Mathematics and Computer Science, Yulin Normal University, Yulin, Guangxi, 537000, China and Department of Mathematics and Computer Science, Yulin Normal University, Yulin, Guangxi, 537000, China |
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| 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. |
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| Keywords: | matrix D-symmetric matrix semidefinite inverse problems optimal approximation |
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