Eigenvalue clusters of large tetradiagonal Toeplitz matrices

DOI10.1007/s00020-020-02619-zzbMath1477.47023OpenAlexW3126671243MaRDI QIDQ829799

Sergei M. Grudsky, Juanita Gasca, Anatoli V. Kozak, Albrecht Böttcher

Publication date: 6 May 2021

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-020-02619-z

zbMATH Keywords

Toeplitz matrixeigenvalue clusterlimiting settetradiagonal matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Toeplitz, Cauchy, and related matrices (15B05)

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Polynomials defined by 5-term recurrence relations, banded Toeplitz matrices, and reality of zeros ⋮ Positive bidiagonal factorization of tetradiagonal Hessenberg matrices ⋮ Asymptotic eigenvalue expansions for Toeplitz matrices with certain Fisher-Hartwig symbols ⋮ A matrix-less method to approximate the spectrum and the spectral function of Toeplitz matrices with real eigenvalues

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