摘要
通过研究四元数域上分块矩阵在子块分解的条件下其群逆存在性的充分必要条件,并给出分块矩阵群逆的具体表达式.
We mainly study the existence and the representation of the group inverse of a block matrix under the real quaternion field by its sub-block decomposition.According to the necessary and sufficient condition of the existence for the group inverse,we give the specific expression of group inverse of a block matrix.
作者
朱文君
邓斌
梁娟
ZHU Wen-jun;DENG Bin;LIANG Juan(Economic and Technical College of Anhui Agricultural University,Hefei 230016,China;School of Mathematics,Hefei University of Technology,Hefei 230601,China)
出处
《大学数学》
2019年第4期19-22,共4页
College Mathematics
基金
安徽农业大学经济技术学院校级重点项目(20180508)
省级质量工程教学团队-统计学(2017jxtd134)
关键词
分块矩阵
群逆
秩
值域
block matrix
group inverse
rank
range
