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次-矩阵的若干广义逆性质
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, 0(2)
作者姓名:王国栋
作者单位:云南大学数学系
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。

关 键 词:次-矩阵  广义逆

SOME OF THE GENERALIZED INVERSES PROPERTIES ABOUT THE SUB-MATRICES
Wang Guodong. SOME OF THE GENERALIZED INVERSES PROPERTIES ABOUT THE SUB-MATRICES[J]. Journal of Yunnan University(Natural Sciences), 1988, 0(2)
Authors:Wang Guodong
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.
Keywords:sub-matrices   generalized inverses  
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