Some identities for determinants of structured matrices
The authors establish several relations between the determinants of the following structured matrices: Hankel matrices, symmetric Toeplitz and 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.
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