Asymptotics of Individual Eigenvalues of a Class of Large Hessenberg Toeplitz Matrices

DOI10.1007/978-3-0348-0346-5_5zbMath1390.15094OpenAlexW2140393616MaRDI QIDQ2902847

J. M. Bogoya, Sergei M. Grudsky, Albrecht Böttcher

Publication date: 22 August 2012

Published in: Recent Progress in Operator Theory and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0346-5_5

zbMATH Keywords

eigenvalueasymptotic expansionToeplitz matrixFourier integral

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Determinants, permanents, traces, other special matrix functions (15A15) Applications of operator theory in the physical sciences (47N50) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (9)

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 ⋮ Fast Non-Hermitian Toeplitz Eigenvalue Computations, Joining Matrixless Algorithms and FDE Approximation Matrices ⋮ An Inexact Shift-and-Invert Arnoldi Algorithm for Large Non-Hermitian Generalised Toeplitz Eigenproblems ⋮ Asymptotics of eigenvalues of symmetric Toeplitz band matrices ⋮ A note on the determinant of a Toeplitz-Hessenberg matrix ⋮ Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols

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