Effect of linear perturbation on spectra of matrices

DOI10.1016/S0024-3795(02)00692-4zbMath1030.15018OpenAlexW2084448528MaRDI QIDQ1399256

Rafikul Alam, Shreemayee Bora

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(02)00692-4

zbMATH Keywords

perturbationspectral varietyeigenvalue sensitivityisospectral perturbation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items

Preserving spectral properties of structured matrices under structured perturbations ⋮ On sensitivity of eigenvalues and eigendecompositions of matrices ⋮ Stability of eigenvalues and spectral decompositions under linear perturbation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytic perturbation theory for matrices and operators. Licensed ed
• Stable perturbations of nonsymmetric matrices
• A primer on spectral theory
• Remarks on nonlinear spectral perturbation
• Nongeneric eigenvalue perturbations of Jordan blocks
• Stability of eigenvalues and spectral decompositions under linear perturbation
• Accuracy assessment for eigencomputations: Variety of backward errors and pseudospectra
• On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure