On the halves of a Riordan array and their antecedents

Barry, Paul (2019) On the halves of a Riordan array and their antecedents. Linear Algebra and Its Applications, 582. pp. 114-137. ISSN 0024-3795

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Every Riordan array has what we call a horizontal half and a vertical half. These halves of a Riordan array have been studied separately before. Here, we place them in a common context, showing that one may be obtained from the other. Using them, we provide a canonical factorization of elements of the associated or Lagrange subgroup of the Riordan group. The vertical half matrix is shown to be an element of the hitting-time group. We also ask and answer the question: given a Riordan array, when is it the half (either horizontal of vertical) of a Riordan array?

Item Type: Article
Additional Information: Funding Information: The author completed this article while a guest at the Applied Algebra and Optimization Research Center (AORC) of Sungkyunkwan University, Suwon, South Korea. He gratefully acknowledges their hospitality. Publisher Copyright: © 2019 Elsevier Inc.
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600/2602
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Depositing User: Admin SSL
Date Deposited: 19 Oct 2022 23:06
Last Modified: 20 Jul 2023 03:55
URI: http://repository-testing.wit.ie/id/eprint/4062

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