Some identities for determinants of structured matrices Original Research Article

In this paper we establish several relations between the determinants of the following structured matrices: Hankel matrices, symmetric Toeplitz + Hankel matrices and Toeplitz matrices. Using known results for the asymptotic behavior of Toeplitz determinants, these identities are used in order to obtain Fisher–Hartwig type results on the asymptotics of certain skew-symmetric Toeplitz determinants and certain Hankel determinants.