Determining the inertia of a matrix pencil as a function of the parameter

DOI10.1016/0024-3795(88)90032-8zbMath0647.15007OpenAlexW1967573410MaRDI QIDQ1104379

Hannu Väliaho

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)90032-8

zbMATH Keywords

numerical examplecritical valuesinertiareal eigenvalueslinear real symmetric matrix pencilquadratic real symmetric matrix pencil

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)

Related Items (2)

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

• Finding a positive semidefinite interval for a parametric matrix
• Manifestations of the Schur complement
• Determination of the inertia of a partitioned Hermitian matrix
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