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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