Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1655
Title: Variants of the Filbert Matrix
Authors: Kılıç, Emrah
Prodinger, Helmut
29574
Issue Date: May-2013
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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