一类三对角行列式的计算方法  

A Method for Calculating Tri-diagonal Determinants

作　　者：关晋瑞[1] GUAN Jinrui(Department of Mathematics,Taiyuan Normal University,Jinzhong 030619,China)

机构地区：[1]太原师范学院数学系,山西晋中030619

出　　处：《中央民族大学学报（自然科学版）》2020年第3期39-41,共3页Journal of Minzu University of China(Natural Sciences Edition)

摘　　要：行列式是线性代数中的一个重要内容,有关行列式的计算是线性代数中的重点和难点。本文中,我们利用二阶线性常系数齐次差分方程的有关结果,给出了计算一类三对角行列式的一般方法,并作了归纳总结。结果显示,本文中的方法是计算这类三对角行列式较为简便且有效的方法。Determinant is an important content in linear algebra,and the calculation of determinant is an important and difficult point in linear algebra. In this paper,we give a general method for calculating a class of tri-diagonal determinants by using the results of the second order linear homogeneous difference equation with constant coefficients. Results show that it is a simple and effective method to calculate such tri-diagonal determinants.

关 键 词：行列式 差分方程 三对角行列式 递推法 

分 类 号：O151[理学—数学]