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关于线性递推数列通项的求法及其收敛特征
引用本文:毛蓓蕾,赵焕光.关于线性递推数列通项的求法及其收敛特征[J].宁波教育学院学报,2008,10(5):80-83.
作者姓名:毛蓓蕾  赵焕光
作者单位:温州大学数学学院,浙江,温州,325035
摘    要:运用方程及化归的思想给出一阶线性递推数列、一阶分式线性递推数列、二阶线性递推数列以及二元一阶线性递推数列的通项,然后在此基础上建立若干关于线性递推数列的收敛特征定理.

关 键 词:线性递推式  通项  收敛性  渐近性  收敛速度

Solution to General Term of Linear Recurrence Series and Its Characteristic of Convergence
MAO Bei-lei,ZHAO Huan-guang.Solution to General Term of Linear Recurrence Series and Its Characteristic of Convergence[J].Journal of Ningbo Institute of Education,2008,10(5):80-83.
Authors:MAO Bei-lei  ZHAO Huan-guang
Institution:MAO Bei-lei,ZHAO Huan-guang(College of Mathematice,Whenzhou University,Whenzhou 325035,China )
Abstract:This paper solves general term of the first order linear recursive series,the first order fractional linear recurrence series,second order linear recurrence series and bivariate first order linear recurrence series,using the view of equation and the view of reduction,and then sets up a number of conver-gence characteristic theorems about a number of linear recursive series.
Keywords:linear recurrence formula  general term formula  convergence  asymptotic property  convergence rate  
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