Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols
Spectral Theory
2019-03-27 v1
Abstract
This paper is devoted to the asymptotic behavior of all eigenvalues of Symmetric (in general non Hermitian) Toeplitz matrices with moderately smooth symbols which trace out a simple loop on the complex plane line as the dimension of the matrices increases to infinity. The main result describes the asymptotic structure of all eigenvalues. The constructed expansion is uniform with respect to the number of eigenvalues. Keywords: Toeplitz matrices, eigenvalues, asymptotic expansions
Cite
@article{arxiv.1903.10551,
title = {Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols},
author = {A. A. Batalshchikov and S. M. Grudsky and I. S. Malisheva and S. S. Mihalkovich and E. Ramirez de Arellano and V. A. Stukopin},
journal= {arXiv preprint arXiv:1903.10551},
year = {2019}
}