On Geometric Circulant Matrices Whose Entries are Bi-Periodic Fibonacci and Bi-Periodic Lucas Numbers

Authors : Emrah Polatli

Pages : 102-108

Doi:10.32323/ujma.669276

View : 16 | Download : 8

Publication Date : 2020-09-29

Article Type : Research

Abstract :In this study, we obtain upper and lower bounds for the spectral norms of the geometric circulant matrices with the bi--periodic Fibonacci numbers and bi--periodic Lucas numbers, respectively. Then we give some bounds for the spectral norms of Kronecker and Hadamard products of these matrices.                                                                                                                                                                                                                  
Keywords : Bi-periodic Fibonacci numbers, Bi-periodic Lucas numbers, Geometric circulant matrices, Spectral norm