On the spectrum of the tridiagonal matrices with two-periodic main diagonal
Spectral Theory
2022-12-06 v2
Abstract
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal provided that the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main diagonal is known. Our result substantially generalises some recent results on the Sylvester-Kac matrix and its certain main principal submatrices.
Keywords
Cite
@article{arxiv.2109.10771,
title = {On the spectrum of the tridiagonal matrices with two-periodic main diagonal},
author = {Alexander Dyachenko and Mikhail Tyaglov},
journal= {arXiv preprint arXiv:2109.10771},
year = {2022}
}
Comments
9 pages