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

P. Barry, A. Hennessy

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)1380-1393
Number of pages14
JournalLinear Algebra and Its Applications
Volume437
Issue number6
DOIs
Publication statusPublished - 15 Sep 2012

Keywords

  • LDU decomposition
  • Riordan array
  • Toeplitz-plus-Hankel

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