Symmetric matrix pencils

DOI10.1016/0377-0427(91)90183-KzbMath0772.15005MaRDI QIDQ1184135

Beresford N. Parlett

Publication date: 28 June 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityequivalencecanonical formsRayleigh quotientcongruencematrix pencilsmatrix eigenvalue problemsHermitian pencilsindefinite pencilsdefinite pencilsrotation transformationsymmetric matrix pencils

Mathematics Subject Classification ID

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

Related Items

Backward perturbation analysis of certain characteristic subspaces, Miniversal deformations of pairs of symmetric matrices under congruence, Field of optimal quotients and Hermitianity, Spectra of a class of non-self-adjoint matrices, The nearest definite pair for the Hermitian generalized eigenvalue problem, Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems

Cites Work

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• Perturbation bounds for the definite generalized eigenvalue problem
• A note on Stewart's theorem for definite matrix pairs
• Perturbation theorems for the generalized eigenvalue problem
• Use of indefinite pencils for computing damped natural modes
• On the Field of Values of a Matrix
• Reduction to Tridiagonal Form and Minimal Realizations
• A Stable Generalized Eigenvalue Problem