Eigenvalues of Hessenberg Toeplitz matrices generated by symbols with several singularities

zbMath1207.47026MaRDI QIDQ627328

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

Publication date: 1 March 2011

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1298670000

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 operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (5)

Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices ⋮ Eigenvectors of Hessenberg Toeplitz matrices and a problem by Dai, Geary, and Kadanoff ⋮ Asymptotic eigenvalue expansions for Toeplitz matrices with certain Fisher-Hartwig symbols ⋮ Asymptotics of eigenvalues of symmetric Toeplitz band matrices ⋮ Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols

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