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

P. Barry; A. Hennessy

doi:10.1016/j.laa.2012.04.024

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

P. Barry, A. Hennessy

School of Science and Computing

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1380-1393
Number of pages	14
Journal	Linear Algebra and Its Applications
Volume	437
Issue number	6
DOIs	https://doi.org/10.1016/j.laa.2012.04.024 https://doi.org/10.1016/j.laa.2012.04.024
Publication status	Published - 15 Sep 2012

Keywords

LDU decomposition
Riordan array
Toeplitz-plus-Hankel

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AU - Hennessy, A.

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AB - 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.

KW - LDU decomposition

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ER -

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

Abstract

Keywords

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