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http://dx.doi.org/10.14317/jami.2015.593

ON THE NORMS OF SOME SPECIAL MATRICES WITH GENERALIZED FIBONACCI SEQUENCE  

RAZA, ZAHID (Department of Mathematics, National University of Computer & Emerging Sciences)
ALI, MUHAMMAD ASIM (Department of Mathematics, National University of Computer & Emerging Sciences)
Publication Information
Journal of applied mathematics & informatics / v.33, no.5_6, 2015 , pp. 593-605 More about this Journal
Abstract
In this study, we define r-circulant, circulant, Hankel and Toeplitz matrices involving the integer sequence with recurrence relation Un = pUn-1 + Un-2, with U0 = a, U1 = b. Moreover, we obtain special norms of above mentioned matrices. The results presented in this paper are generalizations of some of the results of [1, 10, 11].
Keywords
Circulant; r-circulant; semi-circulant; Hankel; spectral norm; Euclidean norm;
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