用特征值法求一类线性递推数列的极限  

Eigenvalue method used for a series of linear recurrence limit

作　　者：郭军[1] 郑美林[1] 李进[1] 

机构地区：[1]九江学院理学院,江西九江332005

出　　处：《高师理科学刊》2008年第6期26-28,共3页Journal of Science of Teachers＇College and University

摘　　要：利用矩阵理论,对一类一元及二元线性递推数列a n+2=pan+1+qan+k和{xn+1=axn+dyn+t1 yn+1=cxn+byn+t2,给出了根据递推系数决定的矩阵的特征值来判别数列敛散性的一个方法.同时给出了几个应用实例.Using of matrix theory, for a class of linear recurrence series of one variable an＋2 = pan＋1 ＋ qan ＋ k and the dual {xn＋1=axn＋byn＋t1 yn＋1=cxn＋dyn＋t2, given a way of discrimination the convergence or divergence of series according to the decision recursive coefficient matrix eigenvalue, also given a few examples of applications.

关 键 词：线性递推 矩阵 特征值 数列极限 

分 类 号：O171[理学—数学]