Infinite Toeplitz and Laurent matrices with localized impurities

DOI10.1016/S0024-3795(01)00343-3zbMath0995.15013OpenAlexW2036872711MaRDI QIDQ1348085

V. I. Sokolov, Albrecht Böttcher, Mark Embree

Publication date: 15 May 2002

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(01)00343-3

zbMATH Keywords

Toeplitz matricesinfinite matricesspectra of matricesLaurent matricesperturbation by impurities

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Perturbation theory of linear operators (47A55) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Perturbation theories for operators and differential equations in quantum theory (81Q15) Random linear operators (47B80)

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On large Toeplitz band matrices with an uncertain block, Computing eigenvalues of semi-infinite quasi-Toeplitz matrices, Coburn's lemma and the finite section method for random Jacobi operators, Pseudoergodic operators and periodic boundary conditions, Exact solution of corner-modified banded block-Toeplitz eigensystems, Can spectral value sets of Toeplitz band matrices jump?

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