The spectra of large Toeplitz band matrices with a randomly perturbed entry

DOI10.1090/S0025-5718-03-01505-9zbMath1022.47019OpenAlexW2052787469MaRDI QIDQ4806390

V. I. Sokolov, Mark Embree, Albrecht Böttcher

Publication date: 14 May 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01505-9

zbMATH Keywords

Toeplitz operatorrandom perturbationpseudospectra

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Random linear operators (47B80)

Related Items (9)

Eigenvalue attraction ⋮ On large Toeplitz band matrices with an uncertain block ⋮ Infinite Toeplitz and Laurent matrices with localized impurities ⋮ Eigenpairs of Toeplitz and disordered Toeplitz matrices with a Fisher-Hartwig symbol ⋮ Centrality Analysis for Modified Lattices ⋮ Coburn's lemma and the finite section method for random Jacobi operators ⋮ Pseudoergodic operators and periodic boundary conditions ⋮ Note on Spectra of Non-Selfadjoint Operators Over Dynamical Systems ⋮ Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations

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