Moreover, we give some examples related to special cases of our results.
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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)}) $, $L_r=Circ-r(L_{k}^{\left( 0\right) },L_{k}^{\left( 1\right) },...,L_{k}^{\left( n-1\right) })$ and their Hadamard and Kronecker products.
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Temel Bulgular & Veri:For this, we firstly compute the spectral and Euclidean norms of circulant matrices of the forms $F=Circ(F_{k}^{\left( 0\right) }, F_{k}^{\left( 1\right) },... ,F_{k}^{\left( n-1\right) })$ and $L=Circ(L_{k}^{\left( 0\right) },L_{k}^{\left( 1\right) },...,L_{k}^{\left( n-1\right) })$.
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Sonuç & Katkı:Moreover, we give some examples related to special cases of our results.
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)}) $, $L_r=Circ-r(L_{k}^{\left( 0\right) },L_{k}^{\left( 1\right) },...,L_{k}^{\left( n-1\right) })$ and their Hadamard and Kronecker products. For this, we firstly compute the spectral and Euclidean norms of circulant matrices of the forms $F=Circ(F_{k}^{\left( 0\right) }, F_{k}^{\left( 1\right) },... ,F_{k}^{\left( n-1\right) })$ and $L=Circ(L_{k}^{\left( 0\right) },L_{k}^{\left( 1\right) },...,L_{k}^{\left( n-1\right) })$. Moreover, we give some examples related to special cases of our results.
BAHŞİ, M., SOLAK, S. (2020). 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/374746
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