On the Drazin inverse of anti-triangular block matrices
Daochang Zhang, Dijana Mosić, Liangyun Chen · Electronic Research Archive · 2022
Our aim is to present new expressions for the Drazin inverse of anti-triangular block matrices under some circumstances. Applying the established new formulae for anti-triangular block matrices, we derive explicit representations for the Drazin inverse of a $ 2\times2 $ complex block matrix under corresponding assumptions. We extend several well known results in the literature in this way.