On the inertias of symmetric matrices and bounded self-adjoint operators
type: Item
instance of: scholarly article
title: On the inertias of symmetric matrices and bounded self-adjoint operators
zbMATH Open document ID: 0644.15009
DOI: 10.1016/0024-3795(88)90004-3
author: Jerome Dancis
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: Extensions and improvement of Poincaré's inequalities are given. The results are also valid for bounded self-adjoint operators on Hilbert space and on the inertias of symmetric matrices.
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 47A30
zbMATH DE Number: 4049788
zbMATH Keywords: inertias of symmetric matrices
zbMATH Keywords: Poincaré's inequalities
zbMATH Keywords: self-adjoint operators
zbMATH Keywords: Hilbert space
reviewed by: Dimitris Voukalis
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90004-3
OpenAlex ID: W1975931179
cites work: The possible inertias for a Hermitian matrix and its principal submatrices
cites work: An interlacing theorem for eigenvalues of self-adjoint operators
cites work: Beyond the Minimax Principle
description: scientific article; zbMATH DE number 4049788