Rank and inertia of submatrices of the Moore-Penrose inverse of a Hermitian matrix
ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 226-240.

Voir la notice de l'article dans 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
Mots-clés : 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 = {ELA. The Electronic Journal of Linear Algebra},
     pages = {226--240},
     publisher = {mathdoc},
     volume = {20},
     year = {2010},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a37/}
}
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Tian, Yongge. Rank and inertia of submatrices of the Moore-Penrose inverse of a Hermitian matrix. ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 226-240. https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a37/