Abstract

ABSTRACTOur aim is to establish relations between the Drazin inverses of the pesudo-block matrix and the block matrix , where . Based on the relations, we give representations for the Drazin inverse of the sum P + Q + R + S under mild restrictions. As the applications, several expressions for the Drazin inverse of a block matrix are presented under some assumptions. Our results generalize several results in the literature.

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