Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7669
Title: The q-Pilbert matrix
Authors: Kılıç, Emrah
Prodinger, Helmut
Keywords: Filbert matrix
Fibonacci numbers
q-analogues
LU-decomposition
Cholesky decomposition
Zeilberger's algorithm
Issue Date: 2012
Publisher: Taylor & Francis Ltd
Abstract: A generalized Filbert matrix is introduced, sharing properties of the Hilbert matrix and Fibonacci numbers. Explicit formulae are derived for the LU-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use q-analysis and to leave the justification of the necessary identities to the q-version of Zeilberger's celebrated algorithm.
URI: https://doi.org/10.1080/00207160.2012.687724
https://hdl.handle.net/20.500.11851/7669
ISSN: 0020-7160
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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