吉首大学学报（自然科学版） ›› 2025, Vol. 46 ›› Issue (5): 1-4.DOI: 10.13438/j.cnki.jdzk.2025.05.001
• 数学 • 下一篇
费明兵，卓泽朋
出版日期:
发布日期:
作者简介:
基金资助:
FEI Mingbing,ZHUO Zepeng
Online:
Published:
摘要：通过引入列向量，将高阶线性递推数列求通项问题转化为方阵求幂问题，进而利用Jordan标准形理论和向量组的矩阵表示理论推导出高阶线性递推数列的通项公式.
关键词： 高阶线性递推数列, 通项, Jordan标准形
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 canonical form with the theory of matrix representation between vectors.
Key words: high order linear recursive sequence, general term, Jordan's canonical form
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.
FEI Mingbing, ZHUO Zepeng. Derivation of the General Formula of Higher Order Linear Recursive Sequences by Using Matrix Methods[J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 1-4.
0 / / 推荐
导出引用管理器 EndNote|Ris|BibTeX
链接本文: https://zkxb.jsu.edu.cn/CN/10.13438/j.cnki.jdzk.2025.05.001
https://zkxb.jsu.edu.cn/CN/Y2025/V46/I5/1
