Geometry structures of the generalized inverses of block two-by-two matrices

Chunyuan Deng

Applied Mathematics and Computation, 2015, vol. 250, issue C, 479-491

Abstract: In this paper, we study the invertibility and the Moore–Penrose invertibility of 2×2 block matrix with Schur complement having closed range. The necessary and sufficient conditions for the existence as well as the expressions for the inverses and the Moore–Penrose inverses are obtained.

Keywords: Block matrix; Inverse; Moore–Penrose inverse (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:250:y:2015:i:c:p:479-491

DOI: 10.1016/j.amc.2014.11.008

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