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Journals / Gazi University Journal of Science / 2022 / Volume: 35 Issue: 4

Cholesky Factorization of the Generalized Symmetric k- Fibonacci Matrix

Cahit Köme(NEVŞEHİR HACI BEKTAŞ VELİ ÜNİVERSİTESİ)0000-0002-6488-9035
Pages
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Publication Date
2022-12-01
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AI Summary & Key Takeaways

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

We investigate the Cholesky factorization of the generalized symmetric k-Fibonacci matrix by using these identities.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Matrix methods are a useful tool while dealing with many problems stemming from linear recurrence relations.
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Key Findings & Data:In this paper, we discuss factorizations and inverse factorizations of two kinds of generalized k-Fibonacci matrices.
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Conclusion & Impact:We investigate the Cholesky factorization of the generalized symmetric k-Fibonacci matrix by using these identities.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized k-Fibonacci matrix · Symmetric generalized k-Fibonacci matrix · Cholesky factorization

Abstract

Matrix methods are a useful tool while dealing with many problems stemming from linear recurrence relations. In this paper, we discuss factorizations and inverse factorizations of two kinds of generalized k-Fibonacci matrices. We derive some useful identities of the k-Fibonacci sequence. We investigate the Cholesky factorization of the generalized symmetric k-Fibonacci matrix by using these identities.

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Cite This Article

Köme, C. (2022). Cholesky Factorization of the Generalized Symmetric k- Fibonacci Matrix. Gazi University Journal of Science, Volume: 35 Issue: 4. https://doi.org/10.35378/gujs.838411

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