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Motivated by the representation for the Moore-Penrose inverse of the block matrix over a *-regular ring presented in [R.E. Hartwig and P. Patr?cio, When does the Moore-Penrose inverse flip? Operators… Click to show full abstract
Motivated by the representation for the Moore-Penrose inverse of the block matrix over a *-regular ring presented in [R.E. Hartwig and P. Patr?cio, 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-Gonz?lez, Jianlong Chen and Long Wang, Further results on generalized inverses in rings with involution, Elect. J. Linear Algebra, 30:118-134, 2015].
Keywords:
note moore;
moore penrose;
block matrices;
penrose inverse;
inverse block
Journal Title: Filomat
Year Published: 2023
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Journal Title: Filomat
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!