On the Norms of Toeplitz and Hankel Matrices with Pell Numbers


Karpuz E. G. , ATEŞ F., GÜNGÖR A. D. , CANGÜL İ. N. , ÇEVİK A. S.

International Conference on Numerical Analysis and Applied Mathematics, Rhodes, Greece, 19 - 25 September 2010, vol.1281, pp.1117-1118 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1281
  • Doi Number: 10.1063/1.3497842
  • City: Rhodes
  • Country: Greece
  • Page Numbers: pp.1117-1118

Abstract

Let us define A = [a(ij)](i,j=0)(n-1) and B = [b(ij)](i,j=0)(n-1) as n x n Toeplitz and Hankel matrices, respectively, such that a(ij) = Pi-j and b(ij) = Pi+j, where P denotes the Pell number. We present upper and lower bounds for the spectral norms of these matrices.