Implementation of the conjugate gradient algorithm on a vector hypercube multiprocessor

C. Aykanat, F. Özgüner, D. Scott
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引用次数: 3

Abstract

In this paper, parallel implementation and vectorization of the Scaled Conjugate Gradient (SCG) algorithm for the solution of large sparse linear system of equations, on a vector hypercube multiprocessor (iPSC- VX), is described. Computations in the SCG algorithm consist mainly of matrix operations that can be vectorized and are implemented on the Vector Processor on each node of the hypercube. The implementation described here achieves efficient parallelization by overlapping vectorized computations with inter-node communication. A speed-up of 58 over a µVax II is obtained for large finite element meshes.
共轭梯度算法在矢量超立方体多处理器上的实现
本文描述了在向量超立方多处理机(iPSC- VX)上求解大型稀疏线性方程组的缩放共轭梯度(SCG)算法的并行实现和向量化。SCG算法的计算主要由矩阵运算组成,这些运算可以被向量化,并在超立方体的每个节点上的向量处理器上实现。这里描述的实现通过节点间通信重叠矢量化计算来实现有效的并行化。对于大型有限元网格,可以获得58 μ Vax II以上的加速。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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