In this paper, we investigate additive properties of the Drazin inverse of two matrices. A formula is given for the Drazin inverse of the sum of two matrices P, Q ∈ C^{n×n} under the conditions that P^2 QP = 0, Q^2 P = 0 and (QP) ^d = 0. As an application, we give some new representations for the Drazin inverse of a 2 × 2 block matrix.
Guo et al. (Wed,) studied this question.