On the spectrum of the tridiagonal matrices with two-periodic main diagonal

Autor:	Dyachenko, Alexander, Tyaglov, Mikhail
Rok vydání:	2021
Předmět:	Mathematics - Spectral Theory 15A18 15B05 15A15
Druh dokumentu:	Working Paper
Popis:	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. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.10771 Zobrazit plný text záznamu View this record from Arxiv