Relative eigenvalues of a definite matrix pair

DOI10.1016/0024-3795(90)90402-XzbMath0711.15009MaRDI QIDQ922609

Ji-guang Sun

Publication date: 1990

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

zbMATH Keywords

Rayleigh quotientHermitian matrixchordal metriceigenspacedefinite matrix pairrelative eigenvalues

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (4)

Backward perturbation analysis of certain characteristic subspaces ⋮ On eigenvalue variations of Rayleigh quotient matrix pencils of a definite pencil ⋮ Eigenvalues of Rayleigh quotient matrices ⋮ On eigenvalues of a Rayleigh quotient matrix

Cites Work

• Relative eigenvalues of Hermitian matrices
• The perturbation bounds for eigenspaces of a definite matrix-pair
• Perturbation bounds for the definite generalized eigenvalue problem
• A note on Stewart's theorem for definite matrix pairs

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