Nonlinear variants of the generalized Filbert and Lilbert matrices | Zendy

Emrah Kılıç | Zendy; Sibel Koparal | Zendy; Neşe Ömür | Zendy

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Nonlinear variants of the generalized Filbert and Lilbert matrices

Author(s) -

Emrah Kılıç,

Sibel Koparal,

Neşe Ömür

Publication year - 2020

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1909-62

Subject(s) - mathematics , fibonacci number , lucas number , inverse , integer (computer science) , combinatorics , matrix (chemical analysis) , decomposition , pure mathematics , ecology , materials science , geometry , computer science , composite material , biology , programming language

In this paper, we present variants of the generalized Filbert and Lilbert matrices by products of the general Fibonacci and Lucas numbers whose indices are in certain nonlinear forms of the indices with certain integer parameters. We derive explicit formulae for inverse matrix, LU -decomposition and inverse matrices L −1 and U −1 for all matrices. Generally, we present q -versions of these matrices and their related results.

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