English

Some identities for determinants of structured matrices

Functional Analysis 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0008075,
  title  = {Some identities for determinants of structured matrices},
  author = {Estelle L. Basor and Torsten Ehrhardt},
  journal= {arXiv preprint arXiv:math/0008075},
  year   = {2007}
}