摘要
针对大型矩阵广义特征值问题,提出了一种基于直接变换法的矩阵分解算法;在分析了矩阵存储技术的基础上给出了基于直接变换法的高阶矩阵存储方法。提出了一种基于直接变换法的面向大型带状正定矩阵运算的分布并行算法;运用mpi(Message Passing Interface)和数学软件包CLAPACK实现了该算法;实验结果表明该算法是正确可行的,符合大型工程的计算要求。
A method of matrix decomposition based on direct transformation method for mode synthesis is presented. Proper matrix storage techniques for direct transformation method for mode synthesis are put forward after studying matrix storage techniques. A dis tributed parallel method based on direct transformation method for mode synthesis is designed and implemented. The result of the experiment demonstrates that direct transformation method for mode synthesis is correct and the accuracy is up to the mustard.
出处
《微计算机信息》
2009年第30期157-159,共3页
Control & Automation
基金
基金申请人:庄毅
基金颁发部门:中国人民解放军总装备部(编号不公开)
关键词
直接变换法
分布并行算法
矩阵分解
矩阵存储
Direct transformation method for mode synthesis
Distributed parallel computing
Matrix decomposition
Matrix storage techniques
