Spectral functions for real symmetric Toeplitz matrices
A. Melman · Journal of Computational and Applied Mathematics · 1998
We derive separate spectral functions for the even and odd spectra of a real symmetric Toeplitz matrix, which are given by the roots of those functions. These are rational functions, also commonly referred to as secular functions. Two applications are considered: spectral evolution as a function of one parameter and the computation of eigenvalues.