ON THE NORM OF CIRCULANT MATRICES VIA GENERALIZED TETRANACCI NUMBERS

Authors : Fatma YEŞİL BARAN, Tevfik YETİŞ

Pages : 562-572

Doi:10.35193/bseufbd.662239

View : 17 | Download : 13

Publication Date : 2019-12-26

Article Type : Research Paper

Abstract :In this study, the sum of first n terms of this series is formulated by obtaining the Binet formula for the generalized Tetranacci sequence 〖(T〗_n )_(n∈N), whose initial values are T_0=a,〖 T〗_1=b,〖 T〗_2=c,T_3=d and defined by the T_n=pT_(n-1)+qT_(n-2)+rT_(n-3)+sT_(n-4) recurrence relation for n≥4. The generating function is obtained for generalized Tetranacci number sequence. In addition, some matrix norms are calculated for the circulant matrices consisting of elements of the generalized Tetranacci number sequence.
Keywords : Circulant Matrix