Generalized eigenvalues of a definite Hermitian matrix pair

DOI10.1016/S0024-3795(97)00281-4zbMath0890.15007MaRDI QIDQ1379099

Chi-Kwong Li, Roy Mathias

Publication date: 8 July 1998

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

zbMATH Keywords

numerical rangeperturbation boundgeneralized eigenvalueCauchy's interlacing theoremHermitian matrix pairWielandt's minimax principle

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55)

Related Items (4)

Relative perturbation theory for definite matrix pairs and hyperbolic eigenvalue problem ⋮ Wielandt and Ky-Fan theorem for matrix pairs. ⋮ The nearest definite pair for the Hermitian generalized eigenvalue problem ⋮ Relative perturbation theory for a class of diagonalizable Hermitian matrix pairs

Cites Work

• Unnamed Item
• A perturbation bound for definite pencils
• Perturbation bounds for the definite generalized eigenvalue problem
• The Lidskii-Mirsky-Wielandt theorem -- additive and multiplicative versions
• A note on Stewart's theorem for definite matrix pairs
• Inequalities: theory of majorization and its applications

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