| 利用友阵的幂计算数列通项公式 |
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| 引用本文： | 陈现平.利用友阵的幂计算数列通项公式[J].高师理科学刊,2008,28(5). |
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| 作者姓名： | 陈现平 |
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| 作者单位： | 聊城大学,数学科学学院,山东,聊城,252059 |
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| 摘 要： | 利用多项式带余除法及友阵的特点计算友阵的幂,给出递推数列{a n},a n+m=km-1 an+m-1+k m-2 an+m-2+…+k1an+1+k0an的通项公式.此方法具有通用性.
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| 关 键 词： | 友阵 递推数列 通项公式 多项式 |
The calculation of general term formula of sequence by using power of companion matrix |
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| CHEN Xian-ping.The calculation of general term formula of sequence by using power of companion matrix[J].Journal of Science of Teachers＇College and University,2008,28(5). |
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| Authors: | CHEN Xian-ping |
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| Institution: | CHEN Xian-ping(School of Mathematical Science,Liaocheng University,Liaocheng 252059,China) |
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| Abstract: | Given the method of computing power of companion matrix is firstly presented by using division of polynomials and features of companion matrix,then concluded the general term formula of recurrence sequence {a n},a n + m=km-1 an+m-1+km-2an+m-2+…+k1an+1+k0an,and the method has generality. |
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| Keywords: | companion matrix recurrence sequence general term formula polynomial |
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