Ziyang Pan

A Note on the Drazin Inverse of 2 × 2 Block Triangular Matrices

By using the forward order law for the Drazin inverse of matrix products, we investigate the Drazin inverse of 2×2 block triangular matrices. A necessary and sufficient condition for ABOCD=ADBDOCD is presented. Notably, this condition is expressed exclusively in terms of rank equ...