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Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 7 Issue: 3

The Linear Algebra of the Pell-Lucas Matrix

Hayrullah Özimamoğlu(NEVŞEHİR HACI BEKTAŞ VELİ ÜNİVERSİTESİ)0000-0001-7844-1840
Ahmet Kaya(NEVŞEHİR HACI BEKTAŞ VELİ ÜNİVERSİTESİ)0000-0001-5109-8130
Pages
—
Publication Date
2024-09-30
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AI Summary & Key Takeaways

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

Furthermore, we derive some valuable identities and bounds for the eigenvalues of these symmetric matrices through the application of majorization notation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the Pell-Lucas and the symmetric Pell-Lucas matrices.
📊
Key Findings & Data:The study delves into the linear algebra aspects of these matrices, analyzing their mathematical properties and relationships.
💡
Conclusion & Impact:Furthermore, we derive some valuable identities and bounds for the eigenvalues of these symmetric matrices through the application of majorization notation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Pell-Lucas matrix · symmetric Pell-Lucas matrix · Cholesky factorization

Abstract

In this paper, we introduce the Pell-Lucas and the symmetric Pell-Lucas matrices. The study delves into the linear algebra aspects of these matrices, analyzing their mathematical properties and relationships. We construct decompositions for both the Pell-Lucas matrix and its inverse matrix. We present the Cholesky factorization of the symmetric Pell-Lucas matrices. Furthermore, we derive some valuable identities and bounds for the eigenvalues of these symmetric matrices through the application of majorization notation.

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Cite This Article

Özimamoğlu, H., Kaya, A. (2024). The Linear Algebra of the Pell-Lucas Matrix. Fundamental Journal of Mathematics and Applications, Volume: 7 Issue: 3. https://doi.org/10.33401/fujma.1404456

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