A note on Fibonacci matrices of even degree
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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006858 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566894846017536 |
|---|---|
| author | Michele Elia |
| author_facet | Michele Elia |
| author_sort | Michele Elia |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-577ad1833bef4f53aa7286de40d50bb7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-577ad1833bef4f53aa7286de40d50bb72025-02-03T01:02:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0127845746910.1155/S0161171201006858A note on Fibonacci matrices of even degreeMichele Elia0Dipartimento di Elettronica, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino I-10129, ItalyThis 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.http://dx.doi.org/10.1155/S0161171201006858 |
| spellingShingle | Michele Elia A note on Fibonacci matrices of even degree International Journal of Mathematics and Mathematical Sciences |
| title | A note on Fibonacci matrices of even degree |
| title_full | A note on Fibonacci matrices of even degree |
| title_fullStr | A note on Fibonacci matrices of even degree |
| title_full_unstemmed | A note on Fibonacci matrices of even degree |
| title_short | A note on Fibonacci matrices of even degree |
| title_sort | note on fibonacci matrices of even degree |
| url | http://dx.doi.org/10.1155/S0161171201006858 |
| work_keys_str_mv | AT micheleelia anoteonfibonaccimatricesofevendegree AT micheleelia noteonfibonaccimatricesofevendegree |