SPECIAL MATRICES ON LUCAS AND COMPANION-LUCAS SEQUENCES

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Published: 2015-06-18

Page: 80-92


ARZU ÖZKOÇ *

Department of Mathematics, Konuralp, Faculty of Science and Art, Duzce University, Duzce, Turkey

ELIF ARDIYOK

Department of Mathematics, Konuralp, Faculty of Science and Art, Duzce University, Duzce, Turkey.

*Author to whom correspondence should be addressed.


Abstract

In this paper, we derived some algebraic relations on circulant, negacyclic, semicirculant and companion matrices of Lucas and Companion-Lucas sequences dened by Un = pUn−1 − qUn−2 and Vn = pVn−1 − qVn−2, with initial values U0, U1 = 1 and V0 = 2, V1 = p for n ≥ 2, where p and q are non-zero integers such that p2 − 4q ≠ 0.

Keywords: Circulant matrix, lucas sequences, companion-lucas sequences, norm, determinant


How to Cite

ÖZKOÇ, A., & ARDIYOK, E. (2015). SPECIAL MATRICES ON LUCAS AND COMPANION-LUCAS SEQUENCES. Asian Journal of Mathematics and Computer Research, 5(2), 80–92. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/149

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