Nongeneric eigenvalue perturbations of Jordan blocks

DOI10.1016/S0024-3795(97)00342-XzbMath0901.15006WikidataQ127343482 ScholiaQ127343482MaRDI QIDQ1381273

Alan Edelman, Yanyuan Ma

Publication date: 15 November 1998

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

zbMATH Keywords

Jordan blocknongeneric eigenvalue perturbation

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Canonical forms, reductions, classification (15A21)

Related Items (11)

Non-archimedean valuations of eigenvalues of matrix polynomials ⋮ Perturbation of eigenvalues of matrix pencils and the optimal assignment problem ⋮ Information geometry of complex Hamiltonians and exceptional points ⋮ The spectra of large Toeplitz band matrices with a randomly perturbed entry ⋮ Stability of cellular automata trajectories revisited: branching walks and Lyapunov profiles ⋮ Effect of linear perturbation on spectra of matrices ⋮ Graph theory approach to exceptional points in wave scattering ⋮ A note on Homotopic Deviation versus perturbation ⋮ On matrix perturbations with minimal leading Jordan structure. ⋮ Perturbations of Jordan matrices ⋮ Stability of eigenvalues and spectral decompositions under linear perturbation

Cites Work

• Analytic perturbation theory for matrices and operators. Licensed ed
• Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
• Stable perturbations of nonsymmetric matrices
• A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations
• On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure
• Lectures on Finite Precision Computations
• ON MATRICES DEPENDING ON PARAMETERS
• Unnamed Item

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