| 次-矩阵的若干广义逆性质 |
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| 引用本文： | 王国栋.次-矩阵的若干广义逆性质[J].云南大学学报(自然科学版),1988(2). |
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| 作者姓名： | 王国栋 |
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| 作者单位： | 云南大学数学系 |
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| 摘 要： | 本文给出次-矩阵(次共轭转置、次Hermite、次规范及次值域Hermite矩阵)的若干广义逆性质。作为本文的重点我们讨论了下列四个问题:①怎样判定一个方阵B是否次值域Hermite矩阵;②次值域Hermite矩阵与值域Hermite矩阵的关系;③次值域Hermite阵的群逆是否一定存在的问题;④若次值域Hermite阵B的群逆存在,此群逆与相应的值域Hermite阵A的群逆的关系。
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| 关 键 词： | 次-矩阵 广义逆 |
SOME OF THE GENERALIZED INVERSES PROPERTIES ABOUT THE SUB-MATRICES |
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| Wang Guodong.SOME OF THE GENERALIZED INVERSES PROPERTIES ABOUT THE SUB-MATRICES[J].Journal of Yunnan University(Natural Sciences),1988(2). |
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| Authors: | Wang Guodong |
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| Abstract: | In this paper, we discussed some of the generalized inverses properties about the sub-matrices including four classes of the matrices: the sub-conjugate transposed, the sub-hermitian, the subnormal and the sub-range hermitiaa matrices. As the basic results, the relations between them, especilly, the conditions of the existence on the group inverses for them have been established. |
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| Keywords: | sub-matrices generalized inverses |
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