Spectral features and asymptotic properties for alpha-circulants and alpha-Toeplitz sequences: theoretical results and examples

Eric Ngondiep, Stefano Serra-Capizzano, Debora Sesana

For a given nonnegative integer alpha, a matrix A_{n} of size n is called alpha-Toeplitz if its entries obey the rule A_{n}=[a_{r-alpha*s}]_{r,s=0}^{n-1}. Analogously, a matrix A_{…