%0 Journal Article
%T On the Norms of <i>r</i>-Toeplitz Matrices Involving Fibonacci and Lucas Numbers
%A Hasan G£¿kba£¿
%A Ramazan T¨¹rkmen
%J Advances in Linear Algebra & Matrix Theory
%P 31-39
%@ 2165-3348
%D 2016
%I Scientific Research Publishing
%R 10.4236/alamt.2016.62005
%X Let us define <img src=\"Edit_39f585ad-de14-40d0-8d39-d98c1ad0f7f3.bmp\" alt=\"\" />&nbsp;to be a <img src=\"Edit_ec4c9d4c-1a55-4ccd-ae86-021e04f8d245.bmp\" alt=\"\" />&nbsp;<em>r</em>-Toeplitz matrix. The
entries in the first row of <img src=\"Edit_bce100c8-cff4-4526-911f-d7e12402271b.bmp\" alt=\"\" />&nbsp;are <img src=\"Edit_77c59349-89cc-45f6-a168-b173f07abe64.bmp\" alt=\"\" />&nbsp;or <img src=\"Edit_5bb5ce1d-86d1-40f5-9e47-8ec6b4d9e63b.bmp\" alt=\"\" />;where <i>F<sub>n</sub></i> and <i>L<sub>n</sub></i> denote the usual Fibonacci
and Lucas numbers, respectively. We obtained some bounds for the spectral norm
of these matrices.
%K &lt
%K i&gt
%K r&lt
%K /i&gt
%K -Toeplitz Matrix
%K Fibonacci Numbers
%K Lucas Numbers
%K Spectral Norm
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=67045