Some identities for determinants of structured matrices

Details Some identities for determinants of structured matrices Some identities for determinants of structured matrices

2000-08-09

arxiv.org/abs/math/0008075v1

Mathematics

Functional Analysis

Scientific paper

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 skewsymmetric Toeplitz determinants and certain Hankel determinants.

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