Publicação
On matrices with the pell, pell-lucas, k−pell and k−pell-lucas quaternions
| Resumo: | In this paper, for any positive real number k, we introduce the k−Pell and k−Pell-Lucas quaternions and we consider certain matrices whose entries are Pell, PellLucas, k−Pell and k−Pell-Lucas quaternions. We investigate the g−circulant, right circulant, left circulant and a special kind of a tridiagonal matrices whose entries are elements of these sequences. We present the determinant of these matrices and with the tridiagonal matrices we show that the determinant is equal to the nth term of the Pell, Pell-Lucas, k−Pell and k−Pell-Lucas quaternion sequences. |
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| Autores principais: | Catarino, Paula |
| Outros Autores: | Vasco, Paulo |
| Ano: | 2018 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Trás-os-Montes e Alto Douro |
| Idioma: | inglês |
| Origem: | Repositório da UTAD |
| Resumo: | In this paper, for any positive real number k, we introduce the k−Pell and k−Pell-Lucas quaternions and we consider certain matrices whose entries are Pell, PellLucas, k−Pell and k−Pell-Lucas quaternions. We investigate the g−circulant, right circulant, left circulant and a special kind of a tridiagonal matrices whose entries are elements of these sequences. We present the determinant of these matrices and with the tridiagonal matrices we show that the determinant is equal to the nth term of the Pell, Pell-Lucas, k−Pell and k−Pell-Lucas quaternion sequences. |
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