Direct and inverse spectral problems for a class of non-selfadjoint band matrices
Spectral Theory
2025-07-01 v1 Classical Analysis and ODEs
Abstract
The spectral properties of a class of band matrices are investigated. The reconstruction of matrices of this special class from given spectral data is also studied. Necessary and sufficient conditions for that reconstruction are found. The obtained results extend some results on the direct and inverse spectral problems for periodic Jacobi matrices and for some non-self-adjoint tridiagonal matrices.
Keywords
Cite
@article{arxiv.1304.5460,
title = {Direct and inverse spectral problems for a class of non-selfadjoint band matrices},
author = {Natalia Bebiano and Mikhail Tyaglov},
journal= {arXiv preprint arXiv:1304.5460},
year = {2025}
}
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13 pages