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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We have found upper and lower bounds for the spectral norms of these matrices
📌 3 Key Takeaways
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Objective & Hypothesis:Let us define A = [aij ] and B = [bij ] as n × n Toeplitz matrices such that aij ≡ Fi−j and bij ≡ Li−j where F and L denote the usual Fibonacci and Lucas numbers, respectively.
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Key Findings & Data:Let us define A = [aij ] and B = [bij ] as n × n Toeplitz matrices such that aij ≡ Fi−j and bij ≡ Li−j where F and L denote the usual Fibonacci and Lucas numbers, respectively.
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Conclusion & Impact:We have found upper and lower bounds for the spectral norms of these matrices
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lucas numbers · Fibonacci numbers · Toeplitz matrix
Abstract
Let us define A = [aij ] and B = [bij ] as n × n Toeplitz matrices such that aij ≡ Fi−j and bij ≡ Li−j where F and L denote the usual Fibonacci and Lucas numbers, respectively. We have found upper and lower bounds for the spectral norms of these matrices
Keywords
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Cite This Article
BOZKURT, D., AKBULAK, M. (2022). ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics, Cilt: 37 - Sayı: 2, 89–95. https://ajindex.com/articles/530727