Eigenvalue asymptotic expansion for non-Hermitian tetradiagonal Toeplitz matrices with real spectrum
In this paper, the eigenvalues of certain Toeplitz matrices are studied using the generating function \(a_2 z^2 + a_1 z + a_0 + a_{-1} z^{-1}\), \(a_2, a_{-1} \neq 0\). Concretely, the authors use the Widom formula for the determinants of finite Toeplitz matrices to get a localization of all the eigenvalues.\NSome numerical experiments are given to test the main results.
scientific article; zbMATH DE number 7852388
scientific article