arXiv Open Access 2021

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

Alexander Dyachenko Mikhail Tyaglov

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.SP

Penulis (2)

Alexander Dyachenko

Mikhail Tyaglov

Format Sitasi

APA MLA BibTeX

Dyachenko, A., Tyaglov, M. (2021). On the spectrum of the tridiagonal matrices with two-periodic main diagonal. https://arxiv.org/abs/2109.10771

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓