吉首大学学报（自然科学版）2025，Vol.46Issue(5)：1-4,18,5.DOI:10.13438/j.cnki.jdzk.2025.05.001
高阶线性递推数列通项公式的矩阵方法推导
Derivation of the General Formula of Higher Order Linear Recursive Sequences by Using Matrix Methods
摘要
Abstract
By introducing column vectors,the problem of finding the general term of a high-order linear recursive sequence is transformed into a problem of finding the power of a square matrix,and then the general term of a high-order linear recursive sequence is obtained by using the theory of Jordan's canoni-cal form with the theory of matrix representation between vectors.关键词
高阶线性递推数列/通项/Jordan标准形Key words
high order linear recursive sequence/general term/Jordan's canonical form分类
数理科学引用本文复制引用
费明兵,卓泽朋..高阶线性递推数列通项公式的矩阵方法推导[J].吉首大学学报（自然科学版）,2025,46(5):1-4,18,5.基金项目
安徽省高等学校省级质量工程项目(2021JXTD257,2022JYXM1410) （2021JXTD257,2022JYXM1410）
