Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bezoutians Original Research Article

It is shown how the property of a Toeplitz matrix to be centro-symmetric or centro-skewsymmetric, in particular symmetric or skewsymmetric, is reflected in its fundamental system. Furthermore, centro-symmetric and centro-skewsymmetric Bezoutians are described. Finally, the representation of inverses of symmetric and skewsymmetric Toeplitz matrices by special “fundamental” equations is discussed.