The inertia of a Hermitian pencil

DOI10.1016/0024-3795(84)90142-3zbMath0567.15009OpenAlexW2018394904MaRDI QIDQ1059693

Paul A. Binding

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90142-3

zbMATH Keywords

Hermitian matricesinertiapencil of matrices

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21)

Related Items

Expansion formulas for the inertias of Hermitian matrix polynomials and matrix pencils of orthogonal projectors, Pencils of complex and real symmetric and skew matrices

Cites Work

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• Spectral analysis of selfadjoint matrix polynomials
• The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil
• Perturbations of H-selfadjoint matrices, with applications to differential equations
• Spectral properties of two-parameter eigenvalue problems
• ANALYTIC PERTURBATIONS OF MULTIPARAMETER EIGENVALUE PROBLEMS
• Factorization of selfadjoint matrix polynomials with constant signature
• Existence conditions for two-parameter eigenvalue problems