The Drazin Inverse of the Sum of Two Matrices and its Applications

Lingling Xia, Bin Deng

Abstract


In this paper, we give the results of the Drazin inverse of P+Q, then derive a representation of the Drazin
inverse of a block matrixM =
(
A B
C D
)
under some conditions. Moreover, some alternative representations for the
Drazin inverse ofMD where the generalized Schur complement S = D


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