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一类分块矩阵的群逆
引用本文:丁华.一类分块矩阵的群逆[J].扬州职业大学学报,2014(2):44-47.
作者姓名:丁华
作者单位:扬州职业大学,江苏扬州225009
摘    要:利用群逆存在的充要条件证明了一类分块矩阵的群逆的存在性,应用群逆的表示及分块矩阵的初等变换,给出了这类分块矩阵群逆的表示公式.

关 键 词:分块矩阵  群逆

The Group Inverse for a class of Block Matrices
DING Hua.The Group Inverse for a class of Block Matrices[J].Journal of Yangzhou Polytechnic College,2014(2):44-47.
Authors:DING Hua
Institution:DING Hua (Yangzhou Polytechnic College, Yangzhou 225009, China)
Abstract:In this paper,the existence of the group inverse for a class of block matrices is proved by using the sufficient and necessary condition for the existence of group inverses. Meanwhile,the expressions for the group inverse of a class of block matrices are given by the group inverses and elementary transformation of block matrices.
Keywords:block matrix  group inverse
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