Sinan KARAKAYA, HALİM ÖZDEMİR, TUGBA PETIK

3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers

ISSN: 1301-4048
Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 1997
Yayıncı: Sakarya Üniversitesi Fen Bilimleri Enstitüsü

In the study, it has been developed a method for deriving special matrices of 3 × 3 dimensions, whose powers are related to Fibonacci and Lucas numbers, and some special matrices have been found via the method developed.

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T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley Interscience, 2001.

R. C. Johnson, Fibonacci Numbers and Matrices, Durham University, 2009, http://maths.dur.ac.uk/~dma0rcj/PED/b.pdf.

S. Vajda, Fibonacci and Lucas Numbers and the Golden Section: Theory and Applications, Ellis Horwood Limited Publ., 9-62, 1989.

B. Demirtürk, Fibonacci and Lucas Sums with Matrix Method, International Mathematical Forum, 5(3), 99-107, 2010.

R. A. Dunlop, The Golden Ratio and Fibonacci Numbers, World Scientific Publishing, 35-62, 1997.

A. M. Meinke, Fibonacci Numbers and Associated Matrices, Thesis Submitted to Kent States University, 2011.

T. Mekonnen, On The Fibonnacci Numbers, Thesis Submitted to Addis Ababa University, 2013.

R. Keskin, B. Demirtürk, Some new Fibonacci and Lucas identities by matrix methods. Internat. J. Math. Ed. Sci. Tech. 41, 3, 379-387, 2010.