陈永林.关于矩阵(A B C 0)的g-逆中子块的独立性[J].数学研究及应用,1991,11(1):17~20 |
关于矩阵(A B C 0)的g-逆中子块的独立性 |
A B On the Block Independence in g-Inverse of a Matrix (A B C O) |
投稿时间:1989-03-16 |
DOI:10.3770/j.issn:1000-341X.1991.01.004 |
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基金项目:国家自然科学基金资助项目. |
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中文摘要: |
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英文摘要: |
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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