摘要
本文提出了分布式环境下求解块三对角线性方程组的一种并行算法,该算法通过分裂系数矩阵,充分利用系数矩阵结构的特殊性,使算法只在相邻处理机间通信两次.并从理论上给出了算法收敛的一个充分条件,分析了误差.最后,在HP rx2600集群上进行了数值试验,结果表明,实算与理论是一致的,并行效率也很高.
A parallel algorithm for block-tridiagonal linear equations on distributed-memory multi- computers is presented. The algorithm is based on Multi-splitting the coefficient matrix and makes full use of the special structure of the coefficient matrix. The communication is only two times between the adjacent processors. In theory, this paper gives an enough condition and the error analysis about this algorithm. Finally, some numerical results on HP rx2600 cluster show that practice computing is consistent with theory. The algorithm＇s parallel efficiency is high.
出处
《数值计算与计算机应用》
CSCD
2007年第4期241-249,共9页
Journal on Numerical Methods and Computer Applications
基金
陕西省自然科学基金(2005A16)资助
