New additive results for the Drazin inverse of two matrices and its applications

Li Guo, Jie Yang, Anqi Wang, Hongguan Wang, Honglin Zou

Abstract


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 $P, Q\in \mathbf{C}^{n\times n}$ under the conditions that $P^2QP=0$, $Q^2P=0$ and $(QP)^{d}=0$. As an application, we give some new representations for the Drazin inverse of a $2 \times 2$ block matrix.

Refbacks

  • There are currently no refbacks.