Spectral generalized inverses of Toeplitz-related matrices

摘要

A characterization of Drazin inverse of Toeplitz and Hankel matrices over a field is presented which provide an algorithm to compute this generalized inverse by a finite number of defined operations. The results are an application of the peculiar properties of those structured matrices together with recent results for matrices over arbitrary rings, showing that Drazin inverse preserves some spectral relations.