Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices
type: Item
instance of: scholarly article
title: Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices
zbMATH Open document ID: 0941.15017
DOI: 10.1016/S0024-3795(98)10156-8
author: Jianzhou Liu
published in: Linear Algebra and its Applications
publication date: 1999-09-02T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 15A42
zbMATH DE Number: 1331734
zbMATH Keywords: Schur complements
zbMATH Keywords: eigenvalues
zbMATH Keywords: inequalities
zbMATH Keywords: singular values
zbMATH Keywords: products of matrices
reviewed by: Mihail Voicu
MaRDI profile type: Publication
cites work: Some interlacing properties of the Schur complement of a Hermitian matrix
cites work: A minimum principle and estimates of the eigenvalues for Schur complements of positive semidefinite Hermitian matrices
cites work: Inequalities: theory of majorization and its applications
cites work: Q5682428
cites work: Q4040931
cites work: Some inequalities for the eigenvalues of the product of positive semidefinite Hermitian matrices
cites work: Generalized Inverse Formulas Using the Schur Complement
Wikidata QID: Q127191096
Recommended article: Q4504421
Recommended article: Some inequalities for singular values of matrix products
Recommended article: Q3609097
Recommended article: Q3789697
Recommended article: Q4669861
Recommended article: Some inequalities for eigenvalues of Schur complements of Hermitian matrices
Recommended article: Some new bounds for singular values and eigenvalues of matrix products
Recommended article: Q3371927
Recommended article: Schur complements and matrix inequalities of hadamard products∗
Recommended article: Some inequalities on generalized Schur complements
description: scientific article; zbMATH DE number 1331734