About Hölder condition numbers and the stratification diagram for defective eigenvalues

DOI10.1016/S0378-4754(00)00178-6zbMath1012.65031MaRDI QIDQ1840908

A. Ilahi, F. Chaitin-Chatelin, Abdellaziz Harrabi

Publication date: 3 June 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

Puiseux seriesperturbation boundsdefective eigenvalueHölder condition numbersstratification diagrams

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (7)

Spectral conditioning and pseudospectral growth ⋮ Infinite-dimensional features of matrices and pseudospectra ⋮ On condition numbers of a nondefective multiple eigenvalue of a nonsymmetric matrix pencil ⋮ On the relation between an operator and its self-commutator ⋮ Nonlinear preservers of pseudospectral radius on Banach spaces ⋮ On perturbations of non-diagonalizable stochastic matrices of order 3 ⋮ Can spectral value sets of Toeplitz band matrices jump?

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• On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure
• Computations in the neighbourhood of algebraic singularities
• Lectures on Finite Precision Computations
• A Theory of Condition
• ON MATRICES DEPENDING ON PARAMETERS

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