On the Fibonacci sequence and Hessenberg matrices
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Abstract (EN)
In this study, by describing properties characteristic of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal and Jacobsthal-Lucas sequences; Binet formulas of these sequences are examined with the help of reccurence relations. Additionally, generating matrices of Fibonacci sequence are mentioned. Some identities about of Fibonacci and Lucas numbers are obtained. Some matrices are given whose determinats obtain Fibonacci numbers. Five new classes of Fibonacci-Hessenberg matrices are introduced and the definition of two-dimensional Fibonacci arrays are given. Finally, linear equations are given whose solutions are Fibonacci fractions.
Author
Huriye Azman
Institution
How to Cite
Huriye Azman (Master Thesis). On the Fibonacci sequence and Hessenberg matrices, 2009, Gazi University, Matematik Bölümü.
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