Contents V.6, N.1, 2015

  • On the Norms of Circulant Matrices with the Generalized Fibonacci and Lucas Numbers
    M. Bahşi (pp. 84-92)

    • 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.

    Keywords:

    circulant matrix, generalized Fibonacci number, generalized Lucas number, matrix norm.

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