JAMP> Vol.6 No.7, July 2018

Author(s)

Hasan Gökbaş^1*, Hasan Köse²

¹Semsi Tebrizi Girl Anatolian Religious Vocational High School, Konya, Turkey.
²Science Faculty, Selçuk Universty, Konya, Turkey.

Let us define A=H_r=(a_ij) to be n×n r-Hankel matrix. The entries of matrix A are F_n=F_i+j-2 or L_n=F_i+j-2 where F_n and L_n denote the usual Fibonacci and Lucas numbers, respectively. Then, we obtained upper and lower bounds for the spectral norm of matrix A. We compared our bounds with exact value of matrix A’s spectral norm. These kinds of matrices have connections with signal and image processing, time series analysis and many other problems.

Euclidean Norm, Spectral Norm, r-Hankel Matrix, Fibonacci Numbers, Lucas Numbers

Gökbaş, H. and Köse, H. (2018) On the Norms of r-Hankel Matrices Involving Fibonacci and Lucas Numbers. Journal of Applied Mathematics and Physics, 6, 1409-1417. doi: 10.4236/jamp.2018.67117.