CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS

Authors : E G KOCER

Pages : 133-142

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Publication Date : 2007-02-01

Article Type : Research Paper

Abstract :In this paper, we give some properties of the modified Pell, Jacobsthal and Jacobsthal-Lucas numbers. We then define the circulant, negacyclic and semicirculant matrices with these numbers and investigate the norms, eigenvalues and determinants of these matrices.
Keywords : Modified Pell numbers, Jacobsthal numbers, Jacobsthal Lucas numbers, Circulant Matrix, 2000 AMS Classification Primary 15 A 60