Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices. (English) Zbl 0941.15017

Liu, Jianzhou

Linear Algebra Appl. 286, No. 1-3, 209-221 (1999).

Using the transformation of Schur complements of matrices and some estimates of eigenvalues of positive semidefinite Hermitian matrices, the author proves some inequalities for singular values and eigenvalues of Schur complements of products of matrices.

Reviewer: M.Voicu (Iaşi)

MSC:

15A42

Inequalities involving eigenvalues and eigenvectors

Keywords:

Schur complements; eigenvalues; inequalities; singular values; products of matrices

References:

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