A matrix-less method to approximate the spectrum and the spectral function of Toeplitz matrices with real eigenvalues

DOI10.1007/s11075-021-01130-9zbMath1480.65102arXiv1902.08488OpenAlexW3173983258MaRDI QIDQ2066223

Sven-Erik Ekström, Paris Vassalos

Publication date: 13 January 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.08488

zbMATH Keywords

asymptotic expansionspectral analysisToeplitz matricesstructured matrices

Mathematics Subject Classification ID

Toeplitz, Cauchy, and related matrices (15B05) Numerical computation of matrix exponential and similar matrix functions (65F60)

Uses Software

• Eigtool
• Julia
• GitHub

Cites Work

• Unnamed Item
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• Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form?
• Non-self-adjoint Toeplitz matrices whose principal submatrices have real spectrum
• Some results on complex Toeplitz eigenvalues
• Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols
• Julia: A Fresh Approach to Numerical Computing
• Generalized Locally Toeplitz Sequences: Theory and Applications
• The Asymptotic Spectra of Banded Toeplitz and Quasi-Toeplitz Matrices
• The Toeplitz Matrices of an Arbitrary Laurent Polynomial.
• Are the eigenvalues of the B‐spline isogeometric analysis approximation of −Δu = λu known in almost closed form?
• Are the Eigenvalues of Banded Symmetric Toeplitz Matrices Known in Almost Closed Form?
• Eigenvalues of Hermitian Toeplitz Matrices Generated by Simple-loop Symbols with Relaxed Smoothness
• Spectral Properties of Banded Toeplitz Matrices

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