Geodesic
The restricted weighted generalized inverse of a matrix
The electronic journal of linear algebra, Tome 22 (2011), pp. 1156-1167.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We introduce the T -restricted weighted generalized inverse of a singular matrix A with respect to a positive semidefinite matrix T , which defines a seminorm for the space. The new approach proposed is that since T is positive semidefinite, the minimal seminorm solution is considered for all vectors perpendicular to the kernel of T .
Classification : 15A09
Keywords: Moore-Penrose inverse, weighted Moore-Penrose inverse 
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     author = {Katsikis, Vasilios N. and Pappas, Dimitrios},
     title = {The restricted weighted generalized inverse of a matrix},
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Katsikis, Vasilios N.; Pappas, Dimitrios. The restricted weighted generalized inverse of a matrix. The electronic journal of linear algebra, Tome 22 (2011), pp. 1156-1167. http://geodesic.mathdoc.fr/item/ELA_2011__22__a0/