On the Structure of the Eigenvectors of Large Hermitian Toeplitz Band Matrices

DOI10.1007/978-3-0346-0548-9_2zbMath1267.47044OpenAlexW2158106854MaRDI QIDQ2914770

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

Publication date: 21 September 2012

Published in: Recent Trends in Toeplitz and Pseudodifferential Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0346-0548-9_2

zbMATH Keywords

eigenvectorToeplitz matrixasymptotic expansionsLaurent polynomialadjugate 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) Rate of convergence, degree of approximation (41A25)

Related Items (6)

Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices ⋮ Symmetric polynomials in the symplectic alphabet and the change of variables \(z_j = x_j + x_j^{-1}\) ⋮ Asymptotics of eigenvectors of large symmetric banded Toeplitz matrices ⋮ Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols ⋮ Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols ⋮ On the \(\ell^\infty\)-norms of the singular vectors of arbitrary powers of a difference matrix with applications to sigma-delta quantization

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