The eigenvalues of tridiagonal sign matrices are dense in the spectra of periodic tridiagonal sign operators

DOI10.1016/j.jfa.2015.01.019zbMath1329.15062arXiv1412.1724OpenAlexW2137313844MaRDI QIDQ2355447

Raffael Hagger

Publication date: 23 July 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1724

zbMATH Keywords

spectrumperiodic operatortridiagonalsign matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Sign pattern matrices (15B35)

Related Items (10)

On the spectrum and numerical range of tridiagonal random operators ⋮ The inverses and eigenpairs of tridiagonal Toeplitz matrices with perturbed rows ⋮ A class of tridiagonal operators associated to some subshifts ⋮ Symmetries of the Feinberg–Zee random hopping matrix ⋮ Coburn's lemma and the finite section method for random Jacobi operators ⋮ Spectral approximation of generalized Schrödinger operators via approximation of subwords ⋮ The numerical range of a periodic tridiagonal operator reduces to the numerical range of a finite matrix ⋮ An analytical approach: explicit inverses of periodic tridiagonal matrices ⋮ The numerical range of a class of periodic tridiagonal operators ⋮ The numerical range of some periodic tridiagonal operators is the convex hull of the numerical ranges of two finite matrices

Uses Software

• Eigtool

Cites Work

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• Spectrum of a Feinberg-Zee random hopping matrix
• Spectral curves of non-Hermitian Hamiltonians
• On the spectra and pseudospectra of a class of non-self-adjoint random matrices and operators
• Eigenvalue problem meets Sierpinski triangle: computing the spectrum of a non-self-adjoint random operator
• Symmetries of the Feinberg–Zee random hopping matrix
• Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers
• On the remarkable spectrum of a non-Hermitian random matrix model
• Toeplitz Operators with Piecewise Quasisectorial Symbols

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