Commutative Weak Generalized Inverses of a Square Matrix and some Related Matrix Equations
Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 39 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The chief concern of this paper is the existence and the construction of all weak generalized inverses which commute with the original matrix; in other words we are concerned with the system $AXA=A$, $AX=XA$. Some other matrix systems and equations are also considered.
Classification : 15A09 15A24
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     author = {Jovan D. Ke\v{c}ki\'c},
     title = {Commutative {Weak} {Generalized} {Inverses} of a {Square} {Matrix} and some {Related} {Matrix} {Equations}},
     journal = {Publications de l'Institut Math\'ematique},
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     publisher = {mathdoc},
     volume = {_N_S_38},
     number = {52},
     year = {1985},
     language = {en},
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Jovan D. Kečkić. Commutative Weak Generalized Inverses of a Square Matrix and some Related Matrix Equations. Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 39 . http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a7/