基于PVM的并行子空间迭代法及其网上实现  

A PARALLEL SUBSPACE ITERATIVE METHOD BASED ON PVM SYSTEM AND ITS IMPLEMENTATION ON LAN

作　　者：尚月强[1] 杨一都[1] 

机构地区：[1]贵州师范大学数学与计算机科学学院,贵阳550001

出　　处：《高等学校计算数学学报》2005年第S1期340-344,共5页Numerical Mathematics A Journal of Chinese Universities

基　　金：贵州省科学技术基金资助项目(2003(3001)).

摘　　要：1 引言空间迭代法是求解矩阵特征值与特征向量的一种有效方法,它能同时求得矩阵的前q 个控制特征对,很适合工程实际计算中往往只需计算几个特征对的需求．本文根据微机内存容量有限这一客观情况,从实际应用的角度出发,主要考虑利用网络技术和网络并行计算支撑软件PVM,在桌面PC机联成的局域网上高效并行实现子空间迭代法,以较快地求得矩阵的前q个控制特征对．A parallel subspace iterative method for solving the eigenvalue problem under network parallel environment based on PVM system is presented in this paper, in which the speciality of network parallel environment that the speed of the operation of processors is high while that of the communication among processors is relatively low is considered, and the matrix data are distributed among local memories of all processors through row-block method. In this algorithm, the communication among processors is decreas...

关 键 词：PVM eigenvalue problem parallel subspace iterative method network parallel environment. 

分 类 号：O241.6[理学—计算数学]