| 分块矩阵的广义逆 |
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| 引用本文： | 陈永林,周炳君.分块矩阵的广义逆[J].南京师大学报,1994,17(4):9-19. |
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| 作者姓名： | 陈永林 周炳君 |
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| 作者单位： | 南京师范大学数学系 |
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| 摘 要： | 研究了分块矩阵和的秩可加性条件，ｇ逆和Ｍ－Ｐ逆的表达式以及它们之间的关系，给出了分块矩阵Ｍ的非奇异性的充要条件和Ｍ－１的分块表达式．
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| 关 键 词： | 矩阵 广义逆 秩 分块矩阵 |
Generalized Inverses of Partitioned Matrices |
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| Chen Yonglin, Zhou Bingjun.Generalized Inverses of Partitioned Matrices[J].Journal of Nanjing Normal University(Natural Science Edition),1994,17(4):9-19. |
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| Authors: | Chen Yonglin Zhou Bingjun |
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| Abstract: | it was studied that partitioned matrices and under the rank additivity condition,and the expressions of their g-inverses and M-P invevses was given. Then the necessary and sufficient conditions for the partitioned matrix to be nonsingular and an explicit expression of M-1 were obtained. |
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| Keywords: | matrices generalized inverse rank |
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