| 用Kronecker积与广义逆矩阵求解矩阵方程 |
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| 引用本文： | 陈永林 李志林. 用Kronecker积与广义逆矩阵求解矩阵方程[J]. 南京师大学报(自然科学版), 1991, 14(1): 9-15,24 |
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| 作者姓名： | 陈永林 李志林 |
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| 作者单位： | 南京师大数学系(陈永林)，南京师大数学系(李志林) |
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| 摘 要： | 本文研究了两类线性矩阵方程AXB+CYD=E层的求解问题,利用广义逆矩阵,给出了前一类方程有解的充要条件及有解时一般解的显式。以及后一类方程有解的克要条件及有解时一般解的拉直形式。
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| 关 键 词： | 矩阵方程 广义逆阵 Kornecker积 |
Solving Matrix Equation by Using Kronecker Product and Generalized Inverse of a Matrix |
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| Chen Yonglin Li Zhilin. Solving Matrix Equation by Using Kronecker Product and Generalized Inverse of a Matrix[J]. Journal of Nanjing Normal University(Natural Science Edition), 1991, 14(1): 9-15,24 |
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| Authors: | Chen Yonglin Li Zhilin |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper, the problem of solving the matrix equations AXB+CYD=Eand AXB+CXD=E is discussed. The necessary and sufficient condition of the consistency and the general solution of first equation are obtained. The consistent condition and the general solution of second equation are also obtained, but they are expressed in a special matrix-vector version. |
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| Keywords: | Kronecker product Generalized inverse of a matrix Matrix equation. |
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