A converse to the Bauer-Fike theorem

DOI10.1016/0024-3795(74)90043-3zbMath0294.15008OpenAlexW2001742895MaRDI QIDQ1212515

Ole Hansen Hald

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0024-3795(74)90043-3

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Conditioning of matrices (15A12)

Related Items (3)

A converse to the Bauer-Fike type theorem ⋮ Normal matrices: an update ⋮ A sharp version of Bauer-Fike's theorem

Cites Work

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• Norms and exclusion theorems
• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• A note on a perturbation theorem for the matrix eigenvalue problem
• The condition numbers of the matrix eigenvalue problem
• The variation of the spectrum of a normal matrix
• Perturbations of spectral operators, and applications. I. Bounded perturbations

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