| 关于矩阵的Kronecker积的几个秩等式 |
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| 引用本文： | 左可正. 关于矩阵的Kronecker积的几个秩等式[J]. 湖北师范学院学报(自然科学版), 2011, 31(3): 1-4 |
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| 作者姓名： | 左可正 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石,435002 |
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| 摘 要： | 利用矩阵秩的Frobenius不等式成为等式的充要条件及矩阵的Kronecker积的几个基本秩等式,给出了矩阵的Kronecker积的几个秩等式成立的充要条件,并讨论了这几个秩等式的一些应用。
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| 关 键 词： | 广义逆 线性矩阵方程 Kronecker积 秩等式 |
Some rank equalities of Kronecker product of matrices |
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| ZUO Ke-zheng. Some rank equalities of Kronecker product of matrices[J]. Journal of Hubei Normal University(Natural Science), 2011, 31(3): 1-4 |
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| Authors: | ZUO Ke-zheng |
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| Affiliation: | ZUO Ke-zheng(College of Mathematics and Statistic,Hubei Normal University,Huangshi 435002,China) |
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| Abstract: | By using the necessary and sufficient conditions of Frobenius inequality to be an identity and some basic rank equalities of Kronecker product of matrices,some necessary and sufficient conditions of Kronecker product of rank equalities of matrices are obtained.Some applications of these rank equalities are presented. |
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| Keywords: | generalized inverse linear equations of matrices Kronecker product rank equalitiy |
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