- Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi
- Vol: 6 Issue: 2
- ON THE NORM OF CIRCULANT MATRICES VIA GENERALIZED TETRANACCI NUMBERS
ON THE NORM OF CIRCULANT MATRICES VIA GENERALIZED TETRANACCI NUMBERS
Authors : Fatma Yeşil Baran, Tevfik Yetiş
Pages : 562-572
Doi:10.35193/bseufbd.662239
View : 11 | Download : 8
Publication Date : 2019-12-26
Article Type : Research
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