摘要
讨论了差分方程在矩阵幂、行列式及概率计算中的应用.给出了一阶线性常系数非齐次差分方程的一种和式解,建立了矩阵幂、行列式、概率等满足的差分方程式,最后,给出了几个应用实例.
Applications of the difference equations in the calculations of matrix power,determinant and probability are discussed.The solution of sum type of linear non-homogeneous difference equations of order one is given.Difference equations for matrix power,determinant and probability are established respectively,and applications in the calculations are given.
作者
程瑜
戴振祥
刘伟明
Cheng Yu;Dai Zhenxiang;Liu Weiming(School of Mathematics&Physical Science,Xuzhou Institute of Technology,Xuzhou 221111,Jiangsu,China;Department of Mathematics&Physics,Beijing Institute of Petrochemical Technology,Beijing 102617,China)
出处
《江苏师范大学学报(自然科学版)》
CAS
2018年第4期53-57,共5页
Journal of Jiangsu Normal University:Natural Science Edition
关键词
差分方程
矩阵幂
行列式
概率
difference equation
matrix power
determinant
probability