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 |
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 |
Show full item record
CORE Recommender
SCOPUSTM
Citations
12
checked on Dec 21, 2024
WEB OF SCIENCETM
Citations
12
checked on Dec 21, 2024
Page view(s)
80
checked on Dec 16, 2024
Google ScholarTM
Check
Altmetric
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.