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https://hdl.handle.net/20.500.11851/1655
Title: | Variants of the Filbert Matrix | Authors: | Kılıç, Emrah Prodinger, Helmut |
Publisher: | Fibonacci Association | Source: | Kiliç, E., & Prodinger, H. (2013). Variants of the Filbert matrix. Fibonacci Quart, 51(2), 153-162. | Abstract: | A variation of the Filbert matrix from [1] is introduced, which has one additional Fibonacci factor in the numerator. We also introduce its Lucas counterpart by taking Lucas numbers instead of Fibonacci numbers in a similar manner. Explicit formulæ are derived for the LU-decompositions, their inverses, the inverse matrix, as well as the Cholesky decompositions. The approach is to use q-analysis and to guess the relevant quantities, and proving them later by induction. | URI: | https://www.fq.math.ca/Papers1/51-2/KilicProdinger.pdf https://hdl.handle.net/20.500.11851/1655 |
ISSN: | 0015-0517 |
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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