Eigenvectors of Hessenberg Toeplitz matrices and a problem by Dai, Geary, and Kadanoff

DOI10.1016/j.laa.2011.12.012zbMath1260.15009OpenAlexW2025394439MaRDI QIDQ417487

J. M. Bogoya, Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maksimenko

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.12.012

zbMATH Keywords

eigenvectorToeplitz matrixasymptotic formulaFourier coefficientHessenberg matrixsymbol of a matrix sequence

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (6)

The part of my path I walked together with Sergei Grudsky ⋮ Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices ⋮ Asymptotics of eigenvectors of large symmetric banded Toeplitz matrices ⋮ Asymptotic eigenvalue expansions for Toeplitz matrices with certain Fisher-Hartwig symbols ⋮ A note on the determinant of a Toeplitz-Hessenberg matrix ⋮ Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols

Cites Work

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• Eigenvalues of Hessenberg Toeplitz matrices generated by symbols with several singularities
• Introduction to large truncated Toeplitz matrices
• Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices

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