Eigenvalues of the tetradiagonal Toeplitz matrices with diagonals 1, 0, 0, 1

Sergei M. Grudsky, Román Higuera-García, Egor A. Maximenko +1

We perform a thorough analysis of the eigenvalues of tetradiagonal Toeplitz matrices of large order $n$ generated by the Laurent polynomial $a(t)=t^2+t^{-1}$. The spectra of these…