| 常见矩阵秩不等式取等的充要条件 |
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| 引用本文： | 胡志广,张洪伟. 常见矩阵秩不等式取等的充要条件[J]. 天津师范大学学报(自然科学版), 2014, 34(4): 28-31 |
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| 作者姓名： | 胡志广 张洪伟 |
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| 作者单位： | 天津师范大学数学科学学院,天津,300387 |
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| 基金项目： | 天津师范大学博士科研启动基金资助项目 |
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| 摘 要： | 考虑分决矩阵和矩阵运算中的常见秩不等式的取等条件,利用分决矩阵的初等变换给出了若干秩不等式取等的充要条件.
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| 关 键 词： | 秩不等式 分块矩阵 初等变换 |
Necessary and sufficient conditions of equlity signs for some matrix rank inequalities |
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| HU Zhiguang,ZHANG Hongwei. Necessary and sufficient conditions of equlity signs for some matrix rank inequalities[J]. Journal of Tianjin Normal University(Natural Science Edition), 2014, 34(4): 28-31 |
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| Authors: | HU Zhiguang ZHANG Hongwei |
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| Affiliation: | HU Zhiguang;ZHANG Hongwei;College of Mathematical Science,Tianjin Normal University; |
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| Abstract: | Conditions of the equlity signs for some common rank inequalities of matrices which appear in block matrices and the matrix operations are studied. The necessary and sufficient conditions of equlity signs for some matrix rank inequalities are given by using the elementary transformation of block matrices. |
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| Keywords: | rank inequalities block matrix elementary transformation |
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