Reverse order law of group inverses of products of two matrices

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摘要

We obtained several equivalent conditions for reverse order law of group inverses of product of two matrices. Several sufficient conditions which enable both (AB)#=B(1,2)A(1,2) and (BA)#=A(1,2)B(1,2) hold are also given.

论文关键词:Group inverse,Null space,Column space,Reverse order law

论文评审过程:Available online 26 November 2003.

论文官网地址:https://doi.org/10.1016/j.amc.2003.09.016