Geodesic
Generalized Schur complements of matrices and compound matrices
The electronic journal of linear algebra, Tome 21 (2010), pp. 12-24.

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

Summary: In this paper, we obtain some formulas for compound matrices of generalized Schur complements of matrices. Further, we give some L$\ddot $owner partial orders for compound matrices of Schur complements of positive semidefinite Hermitian matrices, and obtain some estimates for eigenvalues of Schur complements of sums of positive semidefinite Hermitian matrices.
Classification : 15A45, 15A57
Keywords: L$\ddot $owner partial order, generalized Schur complement, compound matrix, eigenvalues 
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     author = {Liu, Jianzhou and Huang, Rong},
     title = {Generalized {Schur} complements of matrices and compound matrices},
     journal = {The electronic journal of linear algebra},
     pages = {12--24},
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     volume = {21},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2010__21__a11/}
}
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Liu, Jianzhou; Huang, Rong. Generalized Schur complements of matrices and compound matrices. The electronic journal of linear algebra, Tome 21 (2010), pp. 12-24. http://geodesic.mathdoc.fr/item/ELA_2010__21__a11/