International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 8, Pages 457-469
A note on Fibonacci matrices of even degree
Dipartimento di Elettronica, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino I-10129, Italy
Received 1 March 2001
Copyright © 2001 Michele Elia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper presents a construction of -by- irreducible Fibonacci matrices for any even . 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 -by- and -by- irreducible Fibonacci matrices is given.