Geodesic
EP Operators and Generalized Inverses
Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 327-333

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DOI

The relationship between properties of the generalized inverse of A, A†, and of the adjoint of A, A*, are studied. The property that A†A and AA† commute, called (E4), is investigated. (E4) generalizes the property of A being EPr. A canonical form and a formula for A† are given if a matrix A is (E4). Results are in a Hilbert space setting whenever possible. Examples are given.
DOI : 10.4153/CMB-1975-061-4
Mots-clés : 15A09, 15A21, 47A65, Generalized inverse, EP operators, EPr matrices, canonical form 
Campbell, Stephen L.; Meyer, Carl D. EP Operators and Generalized Inverses. Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 327-333. doi: 10.4153/CMB-1975-061-4
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     title = {EP {Operators} and {Generalized} {Inverses}},
     journal = {Canadian mathematical bulletin},
     pages = {327--333},
     year = {1975},
     volume = {18},
     number = {3},
     doi = {10.4153/CMB-1975-061-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-061-4/}
}
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