An upper bound for the spectral condition number of a diagonalizable matrix

DOI10.1016/S0024-3795(97)80029-8zbMath0877.15007MaRDI QIDQ1361836

Er-Xiong Jiang, Peter Che Bor Lam

Publication date: 10 December 1997

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

zbMATH Keywords

numerical exampleeigenvalueserror boundsspectral condition number

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

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Cites Work

• Norms and exclusion theorems
• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• On spectral variation of a nonnormal matrix
• The condition numbers of the matrix eigenvalue problem
• Unnamed Item

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