| Pell-Lucas矩阵及其应用 |
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| 引用本文： | 贾彦益,杨胜良.Pell-Lucas矩阵及其应用[J].甘肃科学学报,2010,22(4):13-17. |
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| 作者姓名： | 贾彦益 杨胜良 |
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| 作者单位： | 兰州理工大学理学院,甘肃兰州730050 |
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| 基金项目： | 甘肃省自然科学基金项目 |
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| 摘 要： | 引入了Pell-Lucas数的E-矩阵和R-矩阵,利用矩阵的相关理论得到了Pell数和Pell-Lu-cas数的一些新的递推关系式以及这2个数之间的关系.最后用同样的方法得到了二次线性递推序列的Binet公式.
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| 关 键 词： | Pell数 Pell-Lucas数 线性递推序列 矩阵方法 |
Pell-Lucas Matrix and Its Application |
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| JIA Yan-yi,YANG Sheng-liang.Pell-Lucas Matrix and Its Application[J].Journal of Gansu Sciences,2010,22(4):13-17. |
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| Authors: | JIA Yan-yi YANG Sheng-liang |
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| Institution: | (School of Sciences ,Lanzhou University of Science and Technology ,Lanzhou 730050, China) |
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| Abstract: | The E-matrix and R-matrix of the Pell-Lucas numbers are introduced. Using this matrix representation we have obtained some new recurrence relations for the Pell and Pell-Lucas numbers. Finally the Binet formula of the second order linear recurrence sequences is derived. |
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| Keywords: | Pell numbers Pell-Lucas numbers linear recurrence sequences matrix method |
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