ASYMPTOTICS OF LARGE EIGENVALUES FOR A CLASS OF BAND MATRICES

DOI10.1142/S0129055X1350013XzbMath1294.47046arXiv1206.1763MaRDI QIDQ2855832

Lech Zielinski, Jan Janas, Anne Boutet de Monvel-Berthier

Publication date: 22 October 2013

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1763

zbMATH Keywords

asymptoticseigenvaluesJacobi matrixband matrix

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) Linear symmetric and selfadjoint operators (unbounded) (47B25) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (3)

Discrete spectra for some complex infinite band matrices ⋮ Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices ⋮ Explicit Error Estimates for Eigenvalues of Some Unbounded Jacobi Matrices

Cites Work

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• Asymptotics of large eigenvalues for some discrete unbounded Jacobi matrices
• Error estimates for Rayleigh-Ritz approximations of eigenvalues and eigenfunctions of the Mathieu and spheroidal wave equation
• Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices
• Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices
• Spectral theory of difference operators with almost constant coefficients
• Spectral theory of difference operators with almost constant coefficients II
• Infinite Jacobi Matrices with Unbounded Entries: Asymptotics of Eigenvalues and the Transformation Operator Approach

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