The first order asymptotics of the extreme eigenvectors of certain Hermitian Toeplitz matrices

DOI10.1007/s00020-008-1646-xzbMath1181.47023OpenAlexW2021331919MaRDI QIDQ1030498

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

Publication date: 1 July 2009

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-008-1646-x

zbMATH Keywords

eigenvalueeigenvectorToeplitz matrixFisher-Hartwig symbol

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Applications of functional analysis in probability theory and statistics (46N30) Remainders in approximation formulas (41A80)

Related Items (6)

On the Relation of Slow Feature Analysis and Laplacian Eigenmaps ⋮ Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices ⋮ Inversion of Toeplitz matrices whose symbols admit a root of positive rational order for the minimal eigenvalue. ⋮ Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols ⋮ Asymptotics of eigenvalues of symmetric Toeplitz band matrices ⋮ Asymptotics of eigenvalues for Toeplitz matrices with rational symbols that have a minimum of the 4th order

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