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Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 3

Nonlinear variants of the generalized Filbert and Lilbert matrices

Emrah KILIÇ
Sibel KOPARAL
Neşe ÖMÜR
Pages
622–642
Publication Date
2020-05-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Generally, we present q -versions of these matrices and their related results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data:We derive explicit formulæ for inverse matrix, LU -decomposition and inverse matrices L −1 and U −1 for all matrices.
💡
Conclusion & Impact:Generally, we present q -versions of these matrices and their related results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Filbert and Lilbert matrices · inverse matrix determinant · generalized Pochhammer symbol

Abstract

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 formulæ 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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Cite This Article

KILIÇ, E., KOPARAL, S., ÖMÜR, N. (2020). Nonlinear variants of the generalized Filbert and Lilbert matrices. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 3, 622–642. https://ajindex.com/articles/185639

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