Geodesic
Rank and inertia of submatrices of the Moore-Penrose inverse of a Hermitian matrix
The electronic journal of linear algebra, Tome 20 (2010), pp. 226-240.

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

Summary: Closed-form formulas are derived for the rank and inertia of submatrices of the Moore-Penrose inverse of a Hermitian matrix. A variety of consequences on the nonsingularity, nullity and definiteness of the submatrices are also presented.
Classification : 15A03, 15A09, 15A23, 15A57
Keywords: Hermitian matrix, partitioned matrix, Moore-Penrose inverse, rank, inertia 
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     author = {Tian, Yongge},
     title = {Rank and inertia of submatrices of the {Moore-Penrose} inverse of a {Hermitian} matrix},
     journal = {The electronic journal of linear algebra},
     pages = {226--240},
     publisher = {mathdoc},
     volume = {20},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2010__20__a37/}
}
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Tian, Yongge. Rank and inertia of submatrices of the Moore-Penrose inverse of a Hermitian matrix. The electronic journal of linear algebra, Tome 20 (2010), pp. 226-240. http://geodesic.mathdoc.fr/item/ELA_2010__20__a37/