On the norms of Toeplitz and Hankel matrices with Pell numbers
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Date
2010
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Inst Physics
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.
Description
Bu çalışma, 19-25 Eylül 2010 tarihleri arasında Rhodes[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics’da bildiri olarak sunulmuştur.
Keywords
Pell numbers, Toeplitz matrix, Hankel matrix, Spectral norm, Cauchy-toeplitz, Fibonacci, Engineering, Mathematics, Physics
Citation
Karpuz, E. G. vd. (2010). "On the norms of Toeplitz and Hankel matrices with Pell numbers". AIP Conference Proceedings, Numerical Analysis and Applied Mathematics, 1281(1-3), 1117-1120.