Improved Bounds for the Spectral Norms of \(r\)-circulant Matrices with \(k\)-fibonacci and \(k\)-lucasnumbers


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.


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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


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