| 矩阵方程AXB=D的对称解及其应用 |
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| 引用本文： | 袁永新. 矩阵方程AXB=D的对称解及其应用[J]. 南京师大学报(自然科学版), 1998, 21(2): 17-21 |
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| 作者姓名： | 袁永新 |
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| 作者单位： | 华东船舶学院基础学科系 |
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| 摘 要： | 研究了矩阵方程ＡＸＢ＝Ｄ具有对称解的充要条件，给出了通解的显式表示，作为应用，讨论了线性流形上的逆特征值问题。
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| 关 键 词： | 矩阵方程 对称解 逆问题 广义逆 |
On the Symmetric Solutions of Matrix Equation AXB=D and its Applications |
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| Yuan Yongxin. On the Symmetric Solutions of Matrix Equation AXB=D and its Applications[J]. Journal of Nanjing Normal University(Natural Science Edition), 1998, 21(2): 17-21 |
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| Authors: | Yuan Yongxin |
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| Affiliation: | Yuan Yongxin Department of Basic Courses,East China Shipbuilding Institute,212003,Zhen Jiang,PRC. |
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| Abstract: | In this paper, a necessary and sufficient condition for matrix equation AXB=D having symmetric solutions is obtained, the explicit representations of general solutions are given. As an application, An inverse eigenvalue problem on a linear manifold is discussed. |
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| Keywords: | matrix equation symmetric solutions inverse problem generalized inverse of a matrix |
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