A note on Fibonacci matrices of even degree

Autor: Michele Elia
Jazyk: angličtina
Rok vydání: 2001
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 27, Iss 8, Pp 457-469 (2001)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171201006858
Popis: This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field. The explicit construction of some 6-by-6 and 8-by-8 irreducible Fibonacci matrices is given.
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