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https://hdl.handle.net/20.500.11851/1693| Title: | The Generalized Lilbert Matrix | Authors: | Kılıç, Emrah Prodinger, Helmut |
Keywords: | Lilbert matrix Filbert matrix Pilbert matrix Fibonacci numbers q-Analogues LU-decomposition Cholesky decomposition Zeilberger's algorithm |
Publisher: | Springer | Source: | Kılıç, E., & Prodinger, H. (2016). The generalized Lilbert matrix. Periodica Mathematica Hungarica, 73(1), 62-72. | Abstract: | We introduce a generalized Lilbert [Lucas-Hilbert] matrix. 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. | URI: | https://hdl.handle.net/20.500.11851/1693 | ISSN: | 0031-5303 |
| Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Gen.Lilbert Matrix.pdf | 288.38 kB | Adobe PDF |  View/Open |
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