Riordan arrays and the LDU decomposition of symmetric Toeplitz plus Hankel matrices

Barry, P. and Hennessy, A. (2012) Riordan arrays and the LDU decomposition of symmetric Toeplitz plus Hankel matrices. Linear Algebra and Its Applications, 437 (6). pp. 1380-1393.

[img]
Preview
PDF
Riordan_Toeplitz_Hankel.pdf

Download (100kB) | Preview

Abstract

We examine a result of Basor and Ehrhardt concerning Hankel and Toeplitz plus Hankel matrices, within the context of the Riordan group of lower-triangular matrices. This allows us to determine the $LDU$ decomposition of certain symmetric Toeplitz plus Hankel matrices. We also determine the generating functions and Hankel transforms of associated sequences.

Item Type: Article
Additional Information: Times Cited: 0 Barry, P. Hennessy, A.
Departments or Groups: *NONE OF THESE*
Depositing User: Paul Barry
Date Deposited: 07 Mar 2014 09:36
Last Modified: 22 Aug 2016 10:26
URI: http://repository.wit.ie/id/eprint/1810

Actions (login required)

View Item View Item