Representations for the Drazin inverses of block matrices

摘要

In this paper, we investigate representations of the Drazin inverse of a 2 × 2 block matrix. The Drazin inverse of a matrix is very important in various applied mathematical fields like machinery and automation, singular differential equations. We give a explicit representation of the Drazin inverse of a block matrix.Key words: Block matrix / Drazin inverse / Index