Geodesic
Generalized inverses − idempotents and projectors
Filomat, Tome 36 (2022) no. 1, p. 207

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DOI

In this paper, we present necessary and sufficient conditions for X to be idempotent and orthogonal idempotent, where X ∈ {A † , A D , A D, † , A †,D , A w }. Several characteristics when X is idempotent and orthogonal idempotent are derived by core-EP decomposition. Additionally, we give some equivalent conditions when matrix A is orthogonal idempotent, using the properties of some generalized inverses of A
DOI : 10.2298/FIL2201207F
Classification : 15A09, 15A24
Keywords: Generalized inverse, Core-EP decomposition, idempotent, orthogonal idempotent 
Zhimei Fu; Kezheng Zuo; Hui Yan; Honglin Zou; Yang Chen. Generalized inverses − idempotents and projectors. Filomat, Tome 36 (2022) no. 1, p. 207 . doi: 10.2298/FIL2201207F
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     doi = {10.2298/FIL2201207F},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2201207F/}
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