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arXiv · 1811.06555

On the existence of group inverses of Peirce corner matrices

Daochang Zhang·Dijana Mosic·Tin-Yau Tam
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Abstract

We give some statements that are equivalent to the existence of group inverses of Peirce corner matrices of a $2 \times 2$ block matrix and its generalized Schur complements. As applications, several new results for the Drazin inverses of the generalized Schur complements and the $2 \times 2$ block matrix are obtained and some of them generalize several results in the literature.

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Daochang Zhang, Dijana Mosic, Tin-Yau Tam. 2018-11-15. On the existence of group inverses of Peirce corner matrices. https://arxiv.org/abs/1811.06555

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