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.
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 {an } , an＋m= km-1an＋m-1＋km-2an＋m-2 ＋… ＋ k1an＋1 ＋ k0an , and the method has generality.
出处
《高师理科学刊》
2008年第5期11-12,46,共3页
Journal of Science of Teachers＇College and University
基金
山东省精品课程资助(150410039)
关键词
友阵
递推数列
通项公式
多项式
companion matrix
recurrence sequence
general term formula
polynomial
