English

Asymptotic formulas for the determinants of symmetric Toeplitz + Hankel matrices

Functional Analysis 2008-04-21 v1 Classical Analysis and ODEs

Abstract

We establish asymptotic formulas for the determinants of finite Toeplitz + Hankel matrices of size N, as N goes to infinity for singular generating functions defined on the unit circle in the special case where the generating function is even, i.e., where the Toeplitz + Hankel matrices are symmetric.

Keywords

Cite

@article{arxiv.math/0202078,
  title  = {Asymptotic formulas for the determinants of symmetric Toeplitz + Hankel matrices},
  author = {Estelle L. Basor and Torsten Ehrhardt},
  journal= {arXiv preprint arXiv:math/0202078},
  year   = {2008}
}