| 复数域上分块矩阵秩的若干等式 |
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| 引用本文： | 宁群,张祖峰. 复数域上分块矩阵秩的若干等式[J]. 宿州学院学报, 2008, 23(4) |
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| 作者姓名： | 宁群 张祖峰 |
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| 作者单位： | 宿州学院数学系 |
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| 基金项目： | 安徽省高等学校省级重点教学研究项目 , 安徽省教育厅自然科学基金 |
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| 摘 要： | 本文以二阶、三阶分块矩阵为例,利用Gauss初等变换和矩阵的Moore-Penrose广义逆,给出某些分块矩阵的秩与其子阵的秩之间的关系。
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| 关 键 词： | 矩阵的秩 分块矩阵 子阵 Moore-Penrose逆 |
Some Equalities of ranks to Partitioned Matrices over the Complex Field |
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| NING Qun,ZHANG Zu-feng. Some Equalities of ranks to Partitioned Matrices over the Complex Field[J]. Journal of Shuzhou College, 2008, 23(4) |
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| Authors: | NING Qun ZHANG Zu-feng |
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| Affiliation: | NING Qun; ZHANG Zu-feng (Department of Mathematics; Suzhou University; Suzhou 234000; AnhuiP.R.China); |
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| Abstract: | In this paper,we take two order and three order partitioned matrices for example,by using of block Gaussian elimination and MoorePenrose general inverse,presents the relations of some ranks of partitioned matrices and its submatrices. |
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| Keywords: | Rank of matrix Partitioned matrix Submatrix Moore-Penrose general inverse |
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