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https://hdl.handle.net/20.500.11851/11700| Title: | Curious Harmony in Asymmetric & Nonlinear Variant of Filbert and Lilbert Matrices | Authors: | Kılıç, Emrah Ersanlı, Didem |
Keywords: | Filbert matrix Lilbert matrix q-analogue LU-decomposition inverse matrix determinant Determinant |
Publisher: | Hacettepe Univ, Fac Sci | Abstract: | In this paper, we present a new analogue of the Filbert and Lilbert matrices whose indices have different asymmetric and nonlinear rules according to their row numbers. Explicit formul ae are derived for the LU-decompositions, their inverses and the inverse of the main matrix as well as its determinant. To prove the claimed results we use backward induction method. The asymmetric variants of the Filbert and Lilbert matrices are obtained from our results for a particular q value. | URI: | https://doi.org/10.15672/hujms.1264983 https://hdl.handle.net/20.500.11851/11700 |
ISSN: | 2651-477X |
| Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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