Two Simple Residual Bounds for the Eigenvalues of a Hermitian Matrix

DOI10.1137/0612016zbMath0726.15009OpenAlexW2063108980MaRDI QIDQ3348108

G. W. Stewart

Publication date: 1991

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0612016

zbMATH Keywords

perturbation theoryeigenvaluesspectruminvariant subspaceHermitian matrixresidual bounds

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (5)

Backward perturbation analysis of certain characteristic subspaces ⋮ On extremum properties of orthogonal quotients matrices ⋮ An algorithm and stability theory for downdating the ULV decomposition ⋮ On eigenvalues of a Rayleigh quotient matrix ⋮ Residual bounds for unitarily invariant norms on clustered eigenvalues

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