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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 |
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