Improved Bounds for the Spectral Norms of \(r\)-circulant Matrices with \(k\)-fibonacci and \(k\)-lucasnumbers
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Authors
Lele Liu
- College of Science, University of Shanghai for Science and Technology,Shanghai 200093, China.
Abstract
We are concerned with the spectral norms of \(r\)-circulant matrices with the \(k\)-Fibonacci and \(k\)-Lucas
numbers. By using Abel transformation and some identities, weobtain some new lower bounds for the
spectral norms of \(r\)-circulant matrices. Havingcompared some known results, the obtained bounds are
more precise.
Share and Cite
ISRP Style
Lele Liu, Improved Bounds for the Spectral Norms of \(r\)-circulant Matrices with \(k\)-fibonacci and \(k\)-lucasnumbers, Journal of Mathematics and Computer Science, 12 (2014), no. 1, 39-50
AMA Style
Liu Lele, Improved Bounds for the Spectral Norms of \(r\)-circulant Matrices with \(k\)-fibonacci and \(k\)-lucasnumbers. J Math Comput SCI-JM. (2014); 12(1):39-50
Chicago/Turabian Style
Liu, Lele. "Improved Bounds for the Spectral Norms of \(r\)-circulant Matrices with \(k\)-fibonacci and \(k\)-lucasnumbers." Journal of Mathematics and Computer Science, 12, no. 1 (2014): 39-50
Keywords
- \(k\)-Fibonacci number
- \(k\)-Lucas number
- \(r\)-circulant matrix
- Spectral norm.
MSC
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