Shen, S. and Cen, J. (2010) On the Spectral Norms of r-Circulant Matrices with the k-Fibonacci and k-Lucas Numbers. International Journal of Contemporary Mathematical Sciences, 5, 569-578.

has been cited by the following article:

• TITLE: On the Norms of r-Hankel Matrices Involving Fibonacci and Lucas Numbers

  AUTHORS: Hasan Gökbaş, Hasan Köse

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.7, July 10, 2018

  ABSTRACT: Let us define A=Hr=(aij)to be n×nr-Hankel matrix. The entries of matrix A are Fn=Fi+j-2or Ln=Fi+j-2where Fnand Lndenote 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.