%0 Journal Article %T Improved Bounds for the Spectral Norms of \(r\)-circulant Matrices with \(k\)-fibonacci and \(k\)-lucasnumbers %A Liu, Lele %J Journal of Mathematics and Computer Science %D 2014 %V 12 %N 1 %@ ISSN 2008-949X %F Liu2014 %X 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. %9 journal article %R 10.22436/jmcs.012.01.04 %U http://dx.doi.org/10.22436/jmcs.012.01.04 %P 39-50 %0 Journal Article %T The \(k\)-Fibonacci sequence and the Pascal 2-triangle %A S. Falcona %A A. Plaza %J Chaos,Solitons and Fractals %D 2007 %V 33 %F Falcona2007 %0 Journal Article %T On the \(k\)-Lucas numbers %A S. Falcon %J International Journal of Contemporary Mathematical Sciences %D 2011 %V 6 %F Falcon 2011 %0 Journal Article %T On \(k\)-Fibonacci numbers of arithmetic indexes %A S. Falcon %A A. Plaza %J Applied Mathematics and Computation %D 2009 %V 208 %F Falcon2009 %0 Journal Article %T The spectral norms of g-circulant matrices with classical Fibonacci andLucas numbers entries %A J. Zhou %J Applied Mathematics and Computation %D 2014 %V 233 %F Zhou2014 %0 Journal Article %T On the norms of circulant matrices with the Fibonacci and Lucas numbers %A S. Solak %J Applied Mathematics and Computation %D 2005 %V 160 %F Solak 2005 %0 Journal Article %T Norm equalities and inequalities for operator matrices %A W. Bani-Domi %A F. Kittaneh %J Linear Algebra and its Applications %D 2008 %V 429 %F Bani-Domi2008 %0 Journal Article %T Optimization of Orthogonal PolyphaseCoding Waveform for MIMO Radar based on Evolutionary Algorithms %A Hamed Azami %A Milad Malekzadeh %A Saeid Sanei %J The Journal of mathematics and computer Science %D 2013 %V 6 %F Azami2013 %0 Journal Article %T The Randers \(\beta\)-Change of More Generalized \(m\)-th Root Metrics %A Abolfazl Taleshian %A DordiMohamad Saghali %J The Journal of mathematics and computer Science %D 2013 %V 6 %F Taleshian2013 %0 Journal Article %T On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers %A S. Shen %A J. Cen %J Applied Mathematics and Computation %D 2010 %V 216 %F Shen2010 %0 Journal Article %T On the spectral norms of \(r\)-circulant matrices with the \(k\)-Fibonacciand \(k\)-Lucas numbers %A S. Shen %A J. Cen %J International Journal of Contemporary Mathematical Sciences %D 2010 %V 5 %F Shen2010 %0 Book %T Principles of Mathematical Analysis %A W. Rudin %D 1976. %I 3rd Edition %C McGraw-Hill %F Rudin 1976.