| 子矩阵约束下对称正交对称矩阵反问题及其最佳逼近 |
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| 引用本文： | 熊培银.子矩阵约束下对称正交对称矩阵反问题及其最佳逼近[J].延边大学理工学报,2008,34(3). |
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| 作者姓名： | 熊培银 |
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| 作者单位： | 仰恩大学数学系 |
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| 摘 要： | 利用矩阵的奇异值分解和矩阵对的商奇异值分解,讨论子矩阵约束下对称正交对称矩阵反问题,给出了其有解的充分必要条件及在有解条件下的通解表达式,并得到了此问题的最佳逼近解,给出了求解最佳逼近解的数值算法及数值算例.
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| 关 键 词： | 对称矩阵 对称正交对称矩阵 商奇异值分解 最佳逼近 |
The Inverse Problem of Bisymmetric Orth-symmetric Matrices with a Submatrix Constraint |
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| XIONG Pei-yin.The Inverse Problem of Bisymmetric Orth-symmetric Matrices with a Submatrix Constraint[J].Journal of Yanbian University (Natural Science),2008,34(3). |
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| Authors: | XIONG Pei-yin |
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| Abstract: | By applying the singular-value decomposition(SVD) and the quotient singular-value decomposition (QSVD),the inverse problem of symmetric orth-symmetric matrices with a submatrix constraint is studied.In addition,the sufficient and necessary conditions and the general solutions of the problem are given,and the op- timal approximate solution is obtained.Numeral example is given to show the effectiveness of the proposed method. |
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| Keywords: | symmetric matrices symmetric orth-bisymmetric matrices quotient singular-value decomposition optimal approximation |
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