Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols-Reference-Cited by-同舟云学术

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Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols

Published:2019-11 Issue: Volume:580 Page:292-335
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Batalshchikov A.A.,Grudsky S.M.,Malisheva I.S.,Mihalkovich S.S.,Ramírez de Arellano E.,Stukopin V.A.

Funder

CONACYT

Ministry of Education and Science of the Russian Federation

Interdisciplinary Scientific Center J.-V. Poncelet

CNRS

Skoltech Center for Advanced Studies

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference33 articles.

1. Toeplitz Forms and Their Applications;Grenander,1958

2. Introduction to Large Truncated Toeplitz Matrices;Böttcher,1999

3. Analysis of Toeplitz Operators;Böttcher,2006

4. Spectral Properties of Banded Toeplitz Matrices;Böttcher,2005

5. Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model: some history and some recent results;Deift;Comm. Pure Appl. Math.,2013

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1. Asymptotics of the eigenvalues of seven-diagonal Toeplitz matrices of a special form;Advances in Operator Theory;2024-09-04

2. Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols;Linear Algebra and its Applications;2024-09

3. Matrix‐less methods for the spectral approximation of large non‐Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study;Numerical Linear Algebra with Applications;2024-01-04

4. Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity;Numerical Linear Algebra with Applications;2023-02-21

5. A matrix-less method to approximate the spectrum and the spectral function of Toeplitz matrices with real eigenvalues;Numerical Algorithms;2021-06-24

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