基于特征值理论求分式线性递推数列极限  

Obtaining the Limit of the Fractional Linear Recursive Sequence Based on Eigenvalue Theory

作　　者：李颖[1] 周敏[1] 倪谷炎[1] 

机构地区：[1]国防科学技术大学理学院数学与系统科学系,长沙410073

出　　处：《大学数学》2014年第5期74-77,共4页College Mathematics

摘　　要：利用分式线性递推数列与二阶方阵的对应关系,通过求二阶方阵的n次幂,给出了分式线性递推数列的通项表达式.再利用矩阵的特征值与不动点关系,得到了分式线性递推数列敛散性的所有表现形式.Using the corresponding relationship between fractional linear recursive sequence and second-order square matrix,and striving for n times of the second order square matrix power, the general＇expression of fractional linear recursive sequence is given. Using the relationship of eigenvalues of the matrix and fixed points, all forms in fractional linear recursive sequence divergence are obtained.

关 键 词：分式线性递推数列 极限 特征值 不动点 

分 类 号：O171[理学—数学]