Abstract
In this paper, we give a computational formula for the Drazin inverse of the sum P+Q, then applying it we give some computational formulas for the Drazin inverse of block matrix 
(A and D are square) with generalized Schur complement S=D−CA
D
B is nonsingular under some conditions. These results extend the results about the Drazin inverse of M given by R. Hartwig, X. Li and Y. Wei (SIAM J. Matrix Anal. Appl. 27:757–771, 2006) and by C. Deng (J. Math. Anal. Appl. 368:1–8, 2010).
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Bu, C., Feng, C. & Dong, P. A note on computational formulas for the Drazin inverse of certain block matrices. J. Appl. Math. Comput. 38, 631–640 (2012). https://doi.org/10.1007/s12190-011-0501-4
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DOI: https://doi.org/10.1007/s12190-011-0501-4