利用友阵的幂计算数列通项公式  

The calculation of general term formula of sequence by using power of companion matrix

作　　者：陈现平[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

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)

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.

关 键 词：友阵 递推数列 通项公式 多项式 

分 类 号：O151[理学—数学]