Geodesic
On some Generalized Inverses of Matrices and some Linear Matrix Equations
Publications de l'Institut Mathématique, _N_S_45 (1989) no. 59, p. 57 .

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

We point a generalized inverse $A_G$ of a singular square complex matrix $A$, with the property that the general solution of the equation $A^nx=0$ (and many other equations) can be expressed by means of $A_G$ for all positive integers $n$. This inverse is a solution of the system (5), also satisfied by the strong spectral inverse of Greville. Applications to various matrix equations and to linear algebraic systems are given.
Classification : 15A09 15A24 
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     author = {Jovan D. Ke\v{c}ki\'c},
     title = {On some {Generalized} {Inverses} of {Matrices} and some {Linear} {Matrix} {Equations}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {57 },
     publisher = {mathdoc},
     volume = {_N_S_45},
     number = {59},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1989_N_S_45_59_a7/}
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Jovan D. Kečkić. On some Generalized Inverses of Matrices and some Linear Matrix Equations. Publications de l'Institut Mathématique, _N_S_45 (1989) no. 59, p. 57 . http://geodesic.mathdoc.fr/item/PIM_1989_N_S_45_59_a7/