On a theorem of Feingold

DOI10.1016/0024-3795(87)90100-5zbMath0616.15018OpenAlexW1966772169MaRDI QIDQ1821177

J. H. Wilkinson

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90100-5

zbMATH Keywords

invariant subspacespectral condition numberperturbation of eigenvaluessensitivity of eigenvaluesBauer- Fike theoreminclusion domains for eigenvalues

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (3)

Why certain discrete phase type representations have numerically stable spectral decomposition ⋮ On sensitivity of eigenvalues and eigendecompositions of matrices ⋮ On the quasi-classical limit of the quadratic susceptibility

Cites Work

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• Norms and exclusion theorems
• Computing stable eigendecompositions of matrices
• Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils

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