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.


Keywords


MSC


References