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非奇分块方阵的逆矩阵
引用本文:田永革.非奇分块方阵的逆矩阵[J].武汉大学学报(信息科学版),1991(2).
作者姓名:田永革
作者单位:郑州测绘学校 教师
摘    要:本文利用矩阵的广义逆给出了复数域上非奇分块方阵?在其子块无任何限制条件下的分块求逆公式。

关 键 词:分块矩阵  逆矩阵  Moore-penrose逆

The Inverse of Nonsigular Partitioned Matrix
Tian Yongge Zhengzhou Technical School for Surveying and Mapping.The Inverse of Nonsigular Partitioned Matrix[J].Geomatics and Information Science of Wuhan University,1991(2).
Authors:Tian Yongge Zhengzhou Technical School for Surveying and Mapping
Institution:Tian Yongge Zhengzhou Technical School for Surveying and Mapping
Abstract:By using the Moore-Penrose inverse of matrix, this paper gives two expressions forthe inverse matrix of nonsigular partitioned matrix( ), where there are no restrictionsfor A, B, C, D. As the application of the results, this paper gives the expressions ofC, D in the inverse M~(-1) = C + iD of complex matrix M = A + iB.
Keywords:inverse matrix  partitioned matrix  Moore-Penrose inverse  rank
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