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

We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main diagonal. Our result generalises some recent res...

Full description

Bibliographic Details
Main Authors: Dyachenko Alexander, Tyaglov Mikhail
Format: Article
Language:English
Published: De Gruyter 2024-07-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2024-0009