周期三对角矩阵逆的一种新算法  

A New Algorithm for Computing the Inverse of a Periodic Tridiagonal Matrix

作　　者：余承依[1] 陈跃辉[1] 

机构地区：[1]漳州师范学院数学与信息科学系,福建漳州363000

出　　处：《数学的实践与认识》2010年第22期192-198,共7页Mathematics in Practice and Theory

基　　金：福建省教育厅资助科研项目(JB07147);漳州师范学院科研项目(sK07008)

摘　　要：给出了一类周期三对角矩阵逆的新的递归算法.新方法充分利用周期三对角矩阵的结构特点,采用递归方法将高阶周期三对角矩阵求逆转化为低阶周期三对角矩阵的求逆.并同时得到简化的计算方法,方法可以有效地减少运算量和存储量,计算精度也有明显的优势.数值实验表明此算法是有效的.In this paper,a new recursive algorithm is proposed for computing the inverse of a periodic tridiagonal matrix.The new algorithm make the most of the special structure of the periodic tridiagonal matrix,by using the recursive computational method,a high-order periodic tridiagonal is transformed into a low-order periodic tridiagonal for computing the inverse.Then the simplified calculation method is obtained,it can cut down the amount of calculation and storing capacity,and it has some advangtages evidently in accuracy of the calculation.From the numerical experiments it has been known that the methods is effective.

关 键 词：周期三对角矩阵 逆矩阵 递归算法 

分 类 号：O151.21[理学—数学]