A sharp version of Kahan's theorem on clustered eigenvalues

DOI10.1016/0024-3795(94)00226-6zbMath0860.15017OpenAlexW2042052193MaRDI QIDQ1923193

Jinjun Xie, Ren-Cang Li, Zhi-Hao Cao

Publication date: 7 October 1996

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)00226-6

zbMATH Keywords

Hermitian matrixsingular valueclustered eigenvalues

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Cluster robust error estimates for the Rayleigh-Ritz approximation. I: Estimates for invariant subspaces, Cluster robust error estimates for the Rayleigh-Ritz approximation II: Estimates for eigenvalues, Fast computation of error bounds for all eigenpairs of a Hermitian and all singular pairs of a rectangular matrix with emphasis on eigen- and singular value clusters, A sharp version of Bauer-Fike's theorem, Residual bounds for some or all singular values, A block Chebyshev-Davidson method for linear response eigenvalue problems, Residual bounds for unitarily invariant norms on clustered eigenvalues, Bounding the spectrum of large Hermitian matrices, Simple criteria for sector root clustering of uncertain systems with multiple time delays, Rayleigh-Ritz majorization error bounds for the linear response eigenvalue problem, Backward perturbation analysis and residual-based error bounds for the linear response eigenvalue problem, A generalization of Weyl's inequalities with implications, Cluster-robust accuracy bounds for Ritz subspaces

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