Block representations of the generalized Drazin inverse

作者：

Highlights：

•

摘要

Under specific conditions, we develop new formulae for the generalized Drazin inverse of a block matrix in Banach algebras. Also, we present necessary and sufficient conditions for the existence and the expression of the group inverse of a block matrix.

论文关键词：Generalized Drazin inverse,Generalized Schur complement,Block matrix

论文评审过程：Received 2 September 2015, Revised 1 March 2018, Accepted 3 March 2018, Available online 26 March 2018, Version of Record 26 March 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.03.027