IJPAM: Volume 88, No. 4 (2013)

ON DETERMINANTS OF SOME TRIDIAGONAL
MATRICES CONNECTED WITH FIBONACCI NUMBERS

Jiřı Jına$^1$, Pavel Trojovský$^2$
$^{1,2}$Department of Mathematics
Faculty of Science
University of Hradec Králové
Rokitanského 62, 50003 Hradec Králové, CZECH REPUBLIC


Abstract. We will overview some facts about the Fibonacci numbers, Hessenberg matrices and tridiagonal matrices. We will summarize the results on determinants of families of tridiagonal matrices which are equal to a Fibonacci number, but we prove most of this results by simpler and more direct way with the help of The On-line Encyclopedai of Integer Sequences (OEIS).

Received: September 19, 2013

AMS Subject Classification: 11B39, 15A15

Key Words and Phrases: matrix, tridiagonal matrix, Hessenbeg matrix, Toeplitz matrix, recurrence

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DOI: 10.12732/ijpam.v88i4.11 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 88
Issue: 4