Some representations for the Drazin inverse of a modified matrix
In this paper, we give some results for the Drazin inverse of a modified matrix \(M=A-CD^dB\) with the generalized Schur complement \(Z=D-BA^dC\) under some conditions. Further, we present some new results for the Drazin inverse of the modified matrix \(M=A-CD^dB\), when the generalized Schur complement \(Z=0\) under some conditions. As a result, some conclusions are obtained directly from our results.
drazin inverse modified matrix generalized schur complement 15a09 15a10 65f20