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

Year 2007, Volume: 36 Issue: 2, 133 - 142, 01.02.2007

E. G. Kocer

Abstract

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

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

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