On the Norms of Circulant Matrices with the Generalized Fibonacci and Lucas Numbers
نویسنده
چکیده
Abstract. In this paper, firstly we define n×n circulant matrices U =Circ (U0, U1, . . . , Un−1), V =Circ (V0, . . . , Vn−1), T =Circ (T0, . . . , Tn−1) and S =Circ (S0, . . . , Sn−1), where {Un} and {Vn} are generalized Fibonacci and Lucas types second order linear recurrences, {Tn} and {Sn} are Tribonacci sequences with different initial conditions. After we study spectral noms of these matrices and their Hadamard and Kronecker product.
منابع مشابه
Spectral norms of circulant-type matrices involving some well-known numbers
In this paper, we investigate spectral norms for circulant-type matrices, including circulant, skewcirculant and g-circulant matrices. The entries are product of binomial coefficients with Fibonacci numbers and Lucas numbers, respectively. We obtain identity estimations for these spectral norms. Employing these approaches, we list some numerical tests to verify our results.
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