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

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.

Bibliographische Detailangaben

Veröffentlicht in:	Applied mathematics and computation 2015-01, Vol.250, p.479-491
1. Verfasser:	Deng, Chunyuan
Format:	Artikel
Sprache:	eng
Schlagworte:	Block matrix Blocking Complement Computation Inverse Mathematical analysis Mathematical models Matrices (mathematics) Matrix methods Moore–Penrose inverse
Online-Zugang:	Volltext
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