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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Moreover, we give some examples related to special cases of our results.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we compute the spectral norms of $r-$ circulant matrices with the hyper-Fibonacci and hyper-Lucas numbers of the forms $F_{r}=Circ-r(F_k^{(0)},F_k^{(1)},...,F_k^{(n-1)}) $, $L_r=Circ-r(L_{k}^{left( 0right) },L_{k}^{left( 1right) },...,L_{k}^{left( n-1right) })$ and their Hadamard and Kronecker products.
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Key Findings & Data:For this, we firstly compute the spectral and Euclidean norms of circulant matrices of the forms $F=Circ(F_{k}^{left( 0right) }, F_{k}^{left( 1right) },... ,F_{k}^{left( n-1right) })$ and $L=Circ(L_{k}^{left( 0right) },L_{k}^{left( 1right) },...,L_{k}^{left( n-1right) })$.
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Conclusion & Impact:Moreover, we give some examples related to special cases of our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this paper, we compute the spectral norms of $r-$ circulant matrices with the hyper-Fibonacci and hyper-Lucas numbers of the forms $F_{r}=Circ-r(F_k^{(0)},F_k^{(1)},...,F_k^{(n-1)}) $, $L_r=Circ-r(L_{k}^{left( 0right) },L_{k}^{left( 1right) },...,L_{k}^{left( n-1right) })$ and their Hadamard and Kronecker products. For this, we firstly compute the spectral and Euclidean norms of circulant matrices of the forms $F=Circ(F_{k}^{left( 0right) }, F_{k}^{left( 1right) },... ,F_{k}^{left( n-1right) })$ and $L=Circ(L_{k}^{left( 0right) },L_{k}^{left( 1right) },...,L_{k}^{left( n-1right) })$. Moreover, we give some examples related to special cases of our results.
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Cite This Article
BAHŞİ, M., SOLAK, S. (2022). On The Norms of Another Form of $r-$Circulant Matrices with The Hyper-Fibonacci and Lucas Numbers. Turkish Journal of Mathematics and Computer Science, Cilt: 12 - Sayı: 2, 76–85. https://ajindex.com/articles/609101