Some results on the Drazin inverse of a modified matrix
We give new conditions under which the Drazin inverse of a modified matrix \(A-CD^DB\) can be expressed in terms of the Drazin inverse of \(A\) and its generalized Schur complement \(Z=D-BA^DC\), generalizing some recent results in the literature.
drazin inverse modified matrix shermanmorrisonwoodbury formula 15a09 65f20