THE DRAZIN INVERSES OF THE SUM OF TWO MATRICES AND BLOCK MATRIX
Abdul Shakoor, Hu Yang, Ilyas Ali · Journal of applied mathematics & informatics · 2013
In this paper, we give a formula of $(P+Q)^D$ under the conditions $P^2Q+QPQ=0$ and $P^3Q=0$ . Then applying it to give some results of block matrix $M=(^A_C^B_D)$ (A and D are square matrices) with generalized Schur complement is zero under some conditions. Finally, numerical examples are given to illustrate our results.