Determinant and permanent of Hessenberg matrix and generalized Lucas polynomials
Yazarlar (2)
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Prof. Dr. Adem ŞAHİN
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Bulletin of the Iranian Mathematical Society |
| Dergi ISSN | 1018-6301 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q2 |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2013 |
| Cilt No | 39 |
| Sayı | 6 |
| Sayfalar | 1065 / 1078 |
| Makale Linki | http://bims.iranjournals.ir/article_461_614511c7f595e147b7d12b7d884a46e1.pdf |
| Özet |
| In this paper, we give some determinantal and permanental representations of generalized Lucas polynomials, which are a general form of generalized bivariate Lucas p-polynomials, ordinary Lucas and Perrin sequences etc., by using various Hessenberg matrices. In addition, we show that determinant and permanent of these Hessenberg matrices can be obtained by using combinations. Then we show, the conditions under which the determinants of the Hessenberg matrix become its permanents. © 2013 Iranian Mathematical Society. |
| Anahtar Kelimeler |
| Generalized Lucas polynomials | generalized Perrin polynomials | Hessenberg matrix | determinant and permanent |
