Some Formulas on the Drazin Inverse for the Sum of Two Matrices and Block Matrices

A Representation of the Drazin Inverse for the Sum of Two Matrices and the Anti-Triangular Block Matrices

“…Other representations of the Drazin inverse for P + Q were developed in Refs. [8][9][10][11][12]. One of the reasons for the study on the representations for the Drazin inverse of block matrices essentially originated from finding the general expressions for the solutions to singular systems of differential equations [13][14][15].…”