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Journals / Mathematical Sciences and Applications E-Notes / 2018 / Cilt: 6 - Sayı: 1

On the Some Properties of Circulant Matrices with Third Order Linear Recurrent Sequences

Arzu COŞKUN
Necati TAŞKARA
Pages
12–18
DOI
—
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AI Summary & Key Takeaways

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

Consequently, by using properties of this sequence, we obtain the eigenvalues, norms and determinants of circulant matrices with Cordonnier, Perrin and Van Der Laan numbers.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, firstly, we give the some fundamental properties of Van Der Laan numbers.
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Key Findings & Data:After, we define the circulant matrices C(Z) which entries are third order linear recurrent sequences.
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Conclusion & Impact:Consequently, by using properties of this sequence, we obtain the eigenvalues, norms and determinants of circulant matrices with Cordonnier, Perrin and Van Der Laan numbers.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Third order linear recurrent sequence · Cordonnier numbers · Perrin numbers

Abstract

In this paper, firstly, we give the some fundamental properties of Van Der Laan numbers. After, we define the circulant matrices C(Z) which entries are third order linear recurrent sequences. In addition, we compute eigenvalues, spectral norm and determinant of this matrix. Consequently, by using properties of this sequence, we obtain the eigenvalues, norms and determinants of circulant matrices with Cordonnier, Perrin and Van Der Laan numbers.

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Cite This Article

COŞKUN, A., TAŞKARA, N. (2018). On the Some Properties of Circulant Matrices with Third Order Linear Recurrent Sequences. Mathematical Sciences and Applications E-Notes, Cilt: 6 - Sayı: 1, 12–18. https://ajindex.com/articles/283504

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References (13)

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