| 关于矩阵(A B C 0)的g-逆中子块的独立性 |
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| 引用本文： | 陈永林.关于矩阵(A B C 0)的g-逆中子块的独立性[J].数学研究与评论,1991,11(1):17-20. |
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| 作者姓名： | 陈永林 |
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| 作者单位： | 南京师范大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目. |
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| 摘 要： |
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| 关 键 词： | 矩阵 g－逆阵 子块 独立性 秩可加性 |
| 收稿时间： | 1989/3/16 0:00:00 |
A B On the Block Independence in g-Inverse of a Matrix (A B C O) |
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| Chen Yonglin.A B On the Block Independence in g-Inverse of a Matrix (A B C O)[J].Journal of Mathematical Research and Exposition,1991,11(1):17-20. |
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| Authors: | Chen Yonglin |
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| Institution: | Nanjiing Normal University |
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| Abstract: | In this paper, we -proved a interesting fact that the rank additivity condition rank (A B C 0) = rank (A C) + rank (B 0) = rank(A,B)+ rank(C, 0)is a necessary and sufficient condition for block independence in g-inverse of (A B C 0),and moreover for that the Moore-Penrose inverse of (A B C 0) is(?) where Q=(I- BB+)A(I-C+C)]+. |
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