Computing the inertias in symmetric matrix pencils

DOI10.1016/0024-3795(94)90116-3zbMath0821.15009OpenAlexW1999505764MaRDI QIDQ1330008

Frank Uhlig

Publication date: 15 August 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90116-3

zbMATH Keywords

algorithminertiasymmetric matrix pencilspencil eigenvalue

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) 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 ⋮ Classifying quadratic maps from plane to plane

Cites Work

• Pencils of complex and real symmetric and skew matrices
• Inertia and eigenvalue relations between symmetrized and symmetrizing matrices for the real and the general field case
• The number of vectors jointly annihilated by two real quadratic forms determines the inertia of matrices in the associated pencil
• A recurring theorem about pairs of quadratic forms and extensions: A survey
• On the Field of Values of a Matrix
• Numerical Determination of the Field of Values of a General Complex Matrix
• Inertia, Numerical Range, and Zeros of Quadratic Forms for Matrix Pencils

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