Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bézoutians
The symmetry properties of the Toeplitz matrix \(T\) are reflected in corresponding symmetries of a fundamental system of \(T\). The fundamental system of centro-symmetric and centro-skewsymmetric matrices is characterized. The fundamental system of a skewsymmetric Toeplitz matrix consists of two symmetric polynomials of even degree. All centro-symmetric and centro-skewsymmetric generalized Bézoutians are described. The representation of inverses of symmetric and skewsymmetric Toeplitz matrices by special equations is discussed.
centro-symmetric and centro-skewsymmetric matrices
symmetric and skewsymmetric Toeplitz matrices
scientific article; zbMATH DE number 1741661