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How to characterize commutativity equalities for Drazin inverses of matrices

Yong Ge Tian (2003)

Archivum Mathematicum

Necessary and sufficient conditions are presented for the commutativity equalities A * A D = A D A * , A A D = A D A , A A A D = A D A A , A A D A * = A * A D A and so on to hold by using rank equalities of matrices. Some related topics are also examined.

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