Non-self-adjoint Toeplitz matrices whose principal submatrices have real spectrum

DOI10.1007/s00365-017-9408-0zbMath1416.15022arXiv1702.00741OpenAlexW2735529947WikidataQ59611149 ScholiaQ59611149MaRDI QIDQ1731911

František Štampach, Boris Zalmanovich Shapiro

Publication date: 14 March 2019

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.00741

zbMATH Keywords

moment problemorthogonal polynomialsreal spectrumJacobi matricesasymptotic eigenvalue distributionbanded Toeplitz matrix

Mathematics Subject Classification ID

Other special orthogonal polynomials and functions (33C47) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (5)

Eigenvalue clusters of large tetradiagonal Toeplitz matrices ⋮ Polynomials defined by 5-term recurrence relations, banded Toeplitz matrices, and reality of zeros ⋮ Correction to: ``Non-self-adjoint Toeplitz matrices whose principal submatrices have real spectrum ⋮ Asymptotic behavior and zeros of the Bernoulli polynomials of the second kind ⋮ A matrix-less method to approximate the spectrum and the spectral function of Toeplitz matrices with real eigenvalues

Uses Software

• Eigtool

Cites Work

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