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

Nonlinear variants of the generalized Filbert and Lilbert matrices

Emrah KILIÇ
Sibel KOPARAL
Neşe ÖMÜR
Sayfa
622–642
Yayın Tarihi
2020-05-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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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Temel Bulgular & Veri:We derive explicit formulæ for inverse matrix, LU -decomposition and inverse matrices L −1 and U −1 for all matrices.
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Sonuç & Katkı:Generally, we present q -versions of these matrices and their related results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (19)

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