一类线性系统求解的并行算法

沈洁;陈凌;程吉林

系统工程理论与实践 ›› 2001, Vol. 21 ›› Issue (8) : 53-57.

PDF(174 KB)
PDF(174 KB)
系统工程理论与实践 ›› 2001, Vol. 21 ›› Issue (8) : 53-57. DOI: 10.12011/1000-6788(2001)8-53
论文

一类线性系统求解的并行算法

    沈洁,陈凌,程吉林
作者信息 +

A Parallel Algorithm for Solving Block-diagonal Structured Large Linear System

    Jie SHEN,Ling CHEN,Ji Lin CHENG
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文章历史 +

摘要

本文给出了求解块角结构的大线性系统的一种并行算法 .这一方法以“梯度—单纯形”法为基础 ,将大线性问题分解为若干子线性系统 ,通过并行地对各个子系统求解 ,求得大系统的最优解 .该算法提高了大系统求解速度 ,特别适合于耦合约束较少的大线性问题 .本文还对该算法的应用性进行了分析.

Abstract

A parallel algorithm for solving block-diagonal structured large linear system is presented. This algorithm is based on the "gradient-simplex" method. It partitions a large linear system into several small linear subsystems so that they can be solved in parallel. The algorithm has the merit of high speed and is suitable for the large linear systems with less coupling constrains. The efficiency and applicability of the mathod is also analyzed.

关键词

线性规划 / 并行计算

Key words

linear system / parallel algorithm

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导出引用
沈洁 , 陈凌 , 程吉林. 一类线性系统求解的并行算法. 系统工程理论与实践, 2001, 21(8): 53-57 https://doi.org/10.12011/1000-6788(2001)8-53
Jie SHEN , Ling CHEN , Ji Lin CHENG. A Parallel Algorithm for Solving Block-diagonal Structured Large Linear System. Systems Engineering - Theory & Practice, 2001, 21(8): 53-57 https://doi.org/10.12011/1000-6788(2001)8-53
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