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1. A generalization of tridiagonal matrix determinants, Fibonacci and Lucas numbers

Author

Nalli, Ayşe and Civciv, Haci

Subjects
*DETERMINANTS (Mathematics), *MATRICES (Mathematics), *FIBONACCI sequence, *LUCAS numbers, *MATHEMATICAL symmetry, *UNIVERSAL algebra, *GENERALIZATION
Abstract

Abstract: In this paper, we construct the symmetric tridiagonal family of matrices whose determinants form any linear subsequence of the Fibonacci numbers. Furthermore, we construct the symmetric tridiagonal family of matrices whose determinants form any linear subsequence of the Lucas numbers. Thus we give a generalization of the presented in Cahill and Narayan (2004) [Cahill ND, Narayan DA. Fibonacci and Lucas numbers as tridiagonal matrix determinants. Fibonacci Quart 2004;42(3):216–21]. [Copyright &y& Elsevier]

Published
2009
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