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On the Moore–Penrose inverse of a sum of matrices.
- Source :
-
Linear & Multilinear Algebra . Jan2023, Vol. 71 Issue 2, p133-149. 17p. - Publication Year :
- 2023
-
Abstract
- The paper considers various problems concerned with the Moore–Penrose inverse of a sum of two matrices. By establishing several original results and by combining various facts known in the literature, the article reveals a number of emerging features of the inverse. The investigations shed also a spotlight on different proving approaches useful to cope with the problems in question. Rather than focusing exclusively on the main topic, the considerations endeavour to place it in a wider context, linking it with different matrix notions, facts, and tools, as well as indicating areas of its applications originating from, e.g. computational methods, physics, statistics, discriminant analysis, or neuroscience. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 71
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 163169558
- Full Text :
- https://doi.org/10.1080/03081087.2021.2021132