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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 18 Issue: 2

Binomial Expansion to 1-Tridiagonal Toeplitz Determinants

Eugene Agyeı-kodıe(Michigan State University)
Hamide Dogan(University of Texas at El Paso)0000-0001-5064-8751
Pages
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Publication Date
2026-06-30
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AI Summary & Key Takeaways

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

Each expansion can be computed in parallel, which decreases algorithmic complexity and reduces the overall computation time.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The determinants of 1-Tridiagonal Toeplitz matrices are computed using the Binomial Coefficient expansion considering two cases.
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Key Findings & Data:The determinants of 1-Tridiagonal Toeplitz matrices are computed using the Binomial Coefficient expansion considering two cases.
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Conclusion & Impact:Each expansion can be computed in parallel, which decreases algorithmic complexity and reduces the overall computation time.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Determinants · Toeplitz matrices · 1−tridiagonal

Abstract

The determinants of 1-Tridiagonal Toeplitz matrices are computed using the Binomial Coefficient expansion considering two cases. Each expansion can be computed in parallel, which decreases algorithmic complexity and reduces the overall computation time.

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Cite This Article

Agyeı-kodıe, E., Dogan, H. (2026). Binomial Expansion to 1-Tridiagonal Toeplitz Determinants. Turkish Journal of Mathematics and Computer Science, Volume: 18 Issue: 2. https://doi.org/10.47000/tjmcs.1523047

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