A note on Fibonacci matrices of even degree

Michele Elia

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-13

Abstract:

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:581632

DOI: 10.1155/S0161171201006858

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