On the inertias of symmetric matrices and bounded self-adjoint operators

DOI10.1016/0024-3795(88)90004-3zbMath0644.15009OpenAlexW1975931179MaRDI QIDQ1102349

Jerome Dancis

Publication date: 1988

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90004-3

zbMATH Keywords

Hilbert spaceself-adjoint operatorsinertias of symmetric matricesPoincaré's inequalities

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Miscellaneous inequalities involving matrices (15A45)

Related Items

A restricted signature normal form for Hermitian matrices, quasi-spectral decompositions, and applications, An interlacing theorem for eigenvalues of self-adjoint operators, Invertible completions of band matrices, Maximization and minimization of the rank and inertia of the Hermitian matrix expression \(A-BX-(BX)^{*}\) with applications, Bordered matrices, Several consequences of an inertia theorem, Positive semidefinite completions of partial Hermitian matrices, The possible inertias for a Hermitian matrix and its principal submatrices

Cites Work

• An interlacing theorem for eigenvalues of self-adjoint operators
• The possible inertias for a Hermitian matrix and its principal submatrices
• Beyond the Minimax Principle