| 矩阵Moore—Penrose逆中子矩阵秩的计算公式 |
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| 引用本文： | 田永革. 矩阵Moore—Penrose逆中子矩阵秩的计算公式[J]. 北京工业大学学报, 1992, 18(4): 84-91. |
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| 作者姓名： | 田永革 |
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| 作者单位： | 郑州测绘学校 |
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| 摘 要： | 首先引入了M+中子矩阵E1,E2,E3和E4秩的一组计算公式,并给出了它们在各种常见条件下的简化形式,又推出了M+中子矩阵的秩所满足的若干不等式;最后给出了复矩阵N=A+iB的Moore-Penrose逆N+=C+iD中C,D秩的计算公式及若干不等式。
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| 关 键 词： | 矩阵 Moore-Penrose逆 秩 不等式 |
| 收稿时间： | 1991-07-15 |
Calculating Formulas for Ranks of Submatrices of the Moore-Penrose Inverse |
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| Tian Yongge. Calculating Formulas for Ranks of Submatrices of the Moore-Penrose Inverse[J]. Journal of Beijing University of Technology, 1992, 18(4): 84-91. |
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| Authors: | Tian Yongge |
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| Affiliation: | Zhengzhou Technical Scool for Surveying and Mapping |
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| Abstract: | First,we introduce a set of formulas for calculating the ranks of Submatrices E1,E2,E3 and E4 in M+,and give a lot of reduced forms for these formulas under some general conditions.Then,we introduce some inequalities for ranks of submatrices in M and M +.Finally,we give a set of calculating formulas and some inequalities for ranks of matrices C and D in the Moore-Penrose inverse |
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| Keywords: | matrix Moore-Penrose inverse rank inequality |
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