Norms Of Hankel-Hessenberg and Toeplitz-Hessenberg Matrices Involving Pell and Pell-Lucas Numbers
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 11
Abstract
We derive some sum formulas for the squares of Pell and Pell-Lucas numbers. We construct Hankel-Hessenberg andToeplitz-Hessenberg matrices whose entries in the first column are HHP = aij , ij i j a Pï€ = ; Q HH =   ij a , ij i j a Qï€ =and P TH =   ij a , 1 = ij iï€ j a P ; Q TH =   ij a , 1 = ij iï€ j a Q , respectively where n P and n Q denote the usual Pell and Pell-Lucas numbers. Then, we found upper and lower bounds for spectral norm of these matrices.
Authors and Affiliations
Hasan GÖKBAS
Keywords
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- EP ID EP651713
- DOI 10.24297/jam.v12i11.22
- Views 178
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