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| 线性流形上矩阵方程AXAT=B的极小Frobenius范数对称正交对称解 | |
| 引用本文： | 李珍珠. 线性流形上矩阵方程AXAT=B的极小Frobenius范数对称正交对称解[J]. 应用数学学报, 2006, 29(2): 276-281 |
| 作者姓名： | 李珍珠 |
| 作者单位： | 湖南科技学院数学与计算科学系,永州,425006 |
| 摘 要： | 利用矩阵对的商奇异值分解,给出了线性流形上矩阵方程AXAT=B存在极小Frobe- nius范数对称正交对称解的充要条件及其解的表达式． |
| 关 键 词： | 线性流形 商奇异值分解 Frobenius范数 对称正交对称矩阵 |
| 收稿时间： | 2004-12-31 |
| 修稿时间： | 2004-12-31 |
The Symmetric Ortho-symmetric Solution of Minimum Frobenius Norm of Matrix Equation AXAT= B on the Linear Manifold |
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| LI ZHENZHU. The Symmetric Ortho-symmetric Solution of Minimum Frobenius Norm of Matrix Equation AXAT= B on the Linear Manifold[J]. Acta Mathematicae Applicatae Sinica, 2006, 29(2): 276-281 | |
| Authors: | LI ZHENZHU |
| Affiliation: | Department of Mathematics and Computional Science, Hunan University of Science and Engineering, Yongzhou 425006 |
| Abstract: | By making use of the quotient singular value decomposition (QSVD) of a matrix pair ,this paper established the necessary and sufficient conditions for the existence of and the expressions for the symmetric ortho-symmetric solution of minimum Frobenius norm of matrix equation AXAT = B. |
| Keywords: | linear manifold quotient singular value decomposition Probenius norm symmetric ortho-symmetric matrix |
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