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math.SP2021
On the spectrum of the tridiagonal matrices with two-periodic main diagonal
Alexander Dyachenko, Mikhail Tyaglov
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 matr…
math.CA2021★ 1 cited
Linear differential operators with polynomial coefficients generating generalised Sylvester-Kac matrices
Alexander Dyachenko, Mikhail Tyaglov
A method of generating differential operators is used to solve the spectral problem for a generalisation of the Sylvester-Kac matrix. As a by-product, we find a linear differential…