On the generating matrices of the Ê-Fibonacci numbers
In this paper we define some tridiagonal matrices depending of a parameter from which we will find the k-Fibonacci numbers. And from the cofactor matrix of one of these matrices we will prove some formulas for the k-Fibonacci numbers differently to the traditional form. Finally, we will study the ei...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2013
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oai:scielo:S0716-091720130004000042014-09-09On the generating matrices of the Ê-Fibonacci numbersFalcon,Sergio k-Fibonacci numbers Cofactor matrix Eigenvalues. In this paper we define some tridiagonal matrices depending of a parameter from which we will find the k-Fibonacci numbers. And from the cofactor matrix of one of these matrices we will prove some formulas for the k-Fibonacci numbers differently to the traditional form. Finally, we will study the eigenvalues of these tridiagonal matrices.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.32 n.4 20132013-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400004en10.4067/S0716-09172013000400004 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
k-Fibonacci numbers Cofactor matrix Eigenvalues. |
| spellingShingle |
k-Fibonacci numbers Cofactor matrix Eigenvalues. Falcon,Sergio On the generating matrices of the Ê-Fibonacci numbers |
| description |
In this paper we define some tridiagonal matrices depending of a parameter from which we will find the k-Fibonacci numbers. And from the cofactor matrix of one of these matrices we will prove some formulas for the k-Fibonacci numbers differently to the traditional form. Finally, we will study the eigenvalues of these tridiagonal matrices. |
| author |
Falcon,Sergio |
| author_facet |
Falcon,Sergio |
| author_sort |
Falcon,Sergio |
| title |
On the generating matrices of the Ê-Fibonacci numbers |
| title_short |
On the generating matrices of the Ê-Fibonacci numbers |
| title_full |
On the generating matrices of the Ê-Fibonacci numbers |
| title_fullStr |
On the generating matrices of the Ê-Fibonacci numbers |
| title_full_unstemmed |
On the generating matrices of the Ê-Fibonacci numbers |
| title_sort |
on the generating matrices of the ê-fibonacci numbers |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2013 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400004 |
| work_keys_str_mv |
AT falconsergio onthegeneratingmatricesoftheefibonaccinumbers |
| _version_ |
1718439793330749440 |