Spectral Asymptotics in One-Dimensional Periodic Lattices with Geometric Interaction

DOI10.1137/15M1008221zbMath1339.15018MaRDI QIDQ2810043

George Fikioris, Ioannis D. Chremmos

Publication date: 31 May 2016

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesspectral asymptoticsToeplitz matriceswaveguideperiodic latticesrecurrence formula

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (2)

Spectral properties of Kac-Murdock-Szegö matrices with a complex parameter ⋮ A Fast Contour-Integral Eigensolver for Non-Hermitian Matrices

Uses Software

• DLMF
• Eigtool

Cites Work

• Introduction to large truncated Toeplitz matrices
• Perturbation theory for linear operators.
• On the Lambert \(w\) function
• Spectral Properties of Banded Toeplitz Matrices
• Multiple Scattering of Waves
• The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers
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