Geodesic
A note on the Moore-Penrose inverse of block matrices
Filomat, Tome 37 (2023) no. 1, p. 173

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DOI

Motivated by the representation for the Moore-Penrose inverse of the block matrix over a *-regular ring presented in [R.E. Hartwig and P. Patrício, When does the Moore-Penrose inverse flip? Operators and Matrices, 6(1):181-192, 2012], we show that the formula of the Moore-Penrose inverse is the same as the expression given by [Nieves Castro-González, Jianlong Chen and Long Wang, Further results on generalized inverses in rings with involution, Elect. J. Linear Algebra, 30:118-134, 2015].
DOI : 10.2298/FIL2301173S
Classification : 15A09, 16E50, 16W10
Keywords: Moore-Penrose inverse, Triangular matrices, k-term star-cancellation, ring 
Yunhu Sun; Long Wang. A note on the Moore-Penrose inverse of block matrices. Filomat, Tome 37 (2023) no. 1, p. 173 . doi: 10.2298/FIL2301173S
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