一类非线性代数方程组的并行算法——适用于MIMD系统 |
| |
引用本文: | 王德人,孙宝云.一类非线性代数方程组的并行算法——适用于MIMD系统[J].计算数学,1991,13(3):297-306. |
| |
作者姓名: | 王德人 孙宝云 |
| |
作者单位: | 上海科技大学
(王德人),兰州大学(孙宝云) |
| |
摘 要: | 为连续对角映射.而A=(a_(ij)∈L(R~n)是单调矩阵,B∈L(R~n)为非负矩阵,b∈R~n为已知向量. 方程组(1.1)具有丰富的实际背景,许多非线性微分方程的求解问题,经过有限元或差分离散,均可归纳为(1.1)的求解.特别,如7],10]以及11]讨论的弱非线性椭圆方程和Stefan问题等,均可作为(1.1)的特例.
|
关 键 词: | 非线性方程组 并行算法 MIMD系统 |
A PARALLEL ALGORITHM FOR A CLASS OF NONLINEAR EQUATIONS APPLICABLE TO MIMD SYSTEMS |
| |
Institution: | Wang De-ren;Sun Bao-yun Shanghai University of Science & Technology Lanzhou University |
| |
Abstract: | In this paper, an asynchronous parallel algorithm is presented for the solution of nonli-near systems of special form using the principles of system decomposition and matrix splittingwhich are suitable for MIMD parallel processors. The convergence proof of the algorithmsare given and some special cases discussed. Finally, some numerical results are presented. |
| |
Keywords: | |
本文献已被 CNKI 维普 等数据库收录! |
| 点击此处可从《计算数学》浏览原始摘要信息 |
| 点击此处可从《计算数学》下载免费的PDF全文 |
|