Zhao, Jiemei; Bu, Changjiang

Group inverse for the block matrix with two identical subblocks over skew fields

Electron. J. Linear Algebra 21, 63-75, electronic only (2010)

Summary

Summary: Let K be a skew field and K n$\times n$ be the set of all n $\times n$ matrices over K. The purpose of this paper is to give some necessary and sufficient conditions for the existence and the representations of the group inverse of the block matrix AC BD under some conditions.

Mathematics Subject Classification

15A09, 65F20

Keywords/Phrases

skew fields, block matrix, group inverse

Downloads