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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