Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/2953
Title: A nonlinear generalization of the Filbert matrix and its Lucas analogue
Authors: Kılıç, Emrah
Arıkan, Talha
29574
Keywords: Filbert matrix
LU-decomposition
 inverse matrix
 backward induction
 Cholesky decomposition
 generalized q-Pochhammer notation
Issue Date: Jan-2019
Publisher: Taylor and Francis Ltd.
Source: Kılıç, E., & Arıkan, T. (2019). A nonlinear generalization of the Filbert matrix and its Lucas analogue. Linear and Multilinear Algebra, 67(1), 141-157.
Abstract: In this paper, we present both a new generalization and an analogue of the Filbert matrix (Formula presented.) by the means of the Fibonacci and Lucas numbers whose indices are in nonlinear form (Formula presented.) for the positive integers (Formula presented.) and the integers r, s, c. This will be the first example as nonlinear generalizations of the Filbert and Lilbert matrices. Furthermore, we present q-versions of these matrices and their related results. We derive explicit formulæ for the inverse matrix, the LU-decomposition and the inverse matrices (Formula presented.), (Formula presented.) as well as we present the Cholesky decomposition for all matrices.
URI: https://doi.org/10.1080/03081087.2017.1412393
https://hdl.handle.net/20.500.11851/2953
ISSN: 0308-1087
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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