Representations for the Drazin inverse of [formula omitted] block-operator matrix with singular Schur complement

Chunyuan Deng,Yimin Wei

doi:10.1016/j.laa.2011.04.033

Representations for the Drazin inverse of [formula omitted] block-operator matrix with singular Schur complement

Chunyuan Deng, Yimin Wei

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https://doi.org/10.1016/j.laa.2011.04.033

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Journal: Linear Algebra and Its Applications	Publication Date: May 17, 2011
Citations: 30	License type: elsevier-specific: oa user license

Affiliation: South China Normal University

#Block-operator Matrix #Generalized Schur Complement + Show 5 more

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Abstract

In this paper, we present formulae for the Drazin inverse of 2 × 2 block-operator matrix with generalized Schur complement being Drazin invertible. Moreover, necessary and sufficient conditions for the existence as well as the expressions for the group inverse are obtained.

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