ON THE NORM OF CIRCULANT MATRICES VIA GENERALIZED TETRANACCI NUMBERS

Year 2019, Volume: 6 Issue: 2, 562 - 572, 26.12.2019

Fatma Yeşil Baran , Tevfik Yetiş

https://doi.org/10.35193/bseufbd.662239

Cited By: 1

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

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