Eigenvalues and eigenvectors of banded Toeplitz matrices and the related symbols

DOI10.1002/nla.2137OpenAlexW2790419630MaRDI QIDQ4558697

Stefano Serra Capizzano, Sven-Erik Ekström

Publication date: 29 November 2018

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.2137

zbMATH Keywords

Toeplitz matrixeigensolvergenerating function and spectral symbol

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (10)

Approximate diagonalization of some Toeplitz operators and matrices ⋮ Exact formulae and matrix-less eigensolvers for block banded symmetric Toeplitz matrices ⋮ Band-Times-Circulant Preconditioners for Non-Symmetric Real Toeplitz Systems with Unknown Generating Function ⋮ Toeplitz momentary symbols: definition, results, and limitations in the spectral analysis of structured matrices ⋮ Improved bisection eigenvalue method for band symmetric Toeplitz matrices ⋮ Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy ⋮ Are the Eigenvalues of Banded Symmetric Toeplitz Matrices Known in Almost Closed Form? ⋮ A note on the spectral distribution of symmetrized Toeplitz sequences ⋮ A reducing approach for symmetrically sparse banded and anti-banded matrices ⋮ Remarks on anti-tridiagonal matrices

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