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https://hdl.handle.net/20.500.11851/2956| Title: | A nonsymmetrical matrix and its factorizations | Authors: | Arıkan, Talha Kılıç, Emrah Prodinger, Helmut |
Keywords: | Filbert matrix q-integer LU-decomposition inverse matrix |
Publisher: | De Gruyter | Source: | Arikan, T., Kiliç, E., & Prodinger, H. (2019). A nonsymmetrical matrix and its factorizations. Mathematica Slovaca, 69(4), 753-762. | Abstract: | We introduce a nonsymmetric matrix defined by q-integers. Explicit formul ae are derived for its LU-decomposition, the inverse matrices L-1 and U-1 and its inverse. Nonsymmetric variants of the Filbert and Lilbert matrices come out as consequences of our results for special choices of q and parameters. The approach consists of guessing the relevant quantities and proving them later by traditional means. | URI: | https://doi.org/10.1515/ms-2017-0266 https://hdl.handle.net/20.500.11851/2956 |
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 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Anonsymmetrical.pdf | article | 292.55 kB | Adobe PDF |  View/Open |
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