摘要
通过构造一个矩阵序列,给出了一类块三对角线性方程组的解耦算法,并用来求解其线性方程组.进而将其思想方法应用于块三对角矩阵行列式的计算.与现有的算法比较,此算法具有计算量和存贮量较少,且编程较简单的特点.
A matrix sequence is structured. Using this sequence, the computational methods for a class of block tridiagonal matrix are considered. The decoupling of linear equation and the computational method of determinant are proposed. This method possesses some advantages such as fewer operation, less memory capacity, programming simplified in comparison with the current methods.
出处
《数值计算与计算机应用》
CSCD
北大核心
2010年第3期206-213,共8页
Journal on Numerical Methods and Computer Applications
基金
南京师范大学优秀博士研究生学位论文培育项目(2010bs0028)
高等学校全国优秀博士学位论文作者专项资金(200720)资助项目
国家自然科学基金(10971102)资助项目
关键词
块三对角矩阵
线性方程组
行列式
解耦
block tridiagonal matrix
linear equation
determinant
decoupling
