Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.11851/1710
Title: | The generalized q-Pilbert matrix | Authors: | Kılıç, Emrah Prodinger, Helmut |
Keywords: | Filbert matrix Pilbert matrix Fibonacci numbers q-analogues LU-decomposition Cholesky decomposition Zeilberger's algorithm |
Publisher: | De Gruyter Open Ltd | Source: | Kiliç, E., & Prodinger, H. (2014). The generalized q-Pilbert matrix. Mathematica Slovaca, 64(5), 1083-1092. | Abstract: | A generalized q-Pilbert matrix from[KILIC, E.-PRODINGER, H.: The q-Pilbert matrix, Int. J. Comput. Math. 89 (2012), 1370-1377] is further generalized, introducing one additional parameter. Explicit formul' 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. However, the necessary identities have appeared already in disguised form in the paper referred above, so that no new computations are necessary. | URI: | https://doi.org/10.2478/s12175-014-0260-4 https://hdl.handle.net/20.500.11851/1710 |
ISSN: | 0139-9918 |
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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File | Description | Size | Format | |
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Pilbertlambda.pdf | 250.19 kB | Adobe PDF | View/Open |
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