Title of article :
ON THE NORMS OF CIRCULANT MATRICES WITH THE GENERALIZED FIBONACCI AND LUCAS NUMBERS
Author/Authors :
BAHSI, MUSTAFA Aksaray University - Education Faculty, Turkey
Abstract :
In this paper, firstly we define nxn 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
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics