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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Then we give some bounds for the spectral norms of Kronecker and Hadamard products of these matrices.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, we obtain upper and lower bounds for the spectral norms of the geometric circulant matrices with the bi--periodic Fibonacci numbers and bi--periodic Lucas numbers, respectively.
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Key Findings & Data:In this study, we obtain upper and lower bounds for the spectral norms of the geometric circulant matrices with the bi--periodic Fibonacci numbers and bi--periodic Lucas numbers, respectively.
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Conclusion & Impact:Then we give some bounds for the spectral norms of Kronecker and Hadamard products of these matrices.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bi-periodic Fibonacci numbers · Bi-periodic Lucas numbers · Geometric circulant matrices
Abstract
In this study, we obtain upper and lower bounds for the spectral norms of the geometric circulant matrices with the bi--periodic Fibonacci numbers and bi--periodic Lucas numbers, respectively. Then we give some bounds for the spectral norms of Kronecker and Hadamard products of these matrices.
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Cite This Article
POLATLI, E. (2020). On Geometric Circulant Matrices Whose Entries are Bi-Periodic Fibonacci and Bi-Periodic Lucas Numbers. Universal Journal of Mathematics and Applications, Cilt: 3 - Sayı: 3, 102–108. https://ajindex.com/articles/819934