一种新的静态旋转并行稀疏LU分解调度算法

L. Grigori, X. Li
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引用次数: 13

摘要

本文提出了一种具有静态旋转的并行稀疏LU分解的静态调度算法。该算法分为映射和调度两个阶段,使用LT和U的对称剪枝图来表示依赖关系。调度算法是为了在分布式内存架构下驱动分解的并行执行而设计的。在IBM SP RS/6000分布式存储机上对实际应用矩阵进行了实验,并与SuperLU_DIST进行了比较。
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A New Scheduling Algorithm for Parallel Sparse LU Factorization with Static Pivoting
In this paper we present a static scheduling algorithm for parallel sparse LU factorization with static pivoting. The algorithm is divided into mapping and scheduling phases, using the symmetric pruned graphs of LT and U to represent dependencies. The scheduling algorithm is designed for driving the parallel execution of the factorization on a distributed-memory architecture. Experimental results and comparisons with SuperLU_DIST are reported after applying this algorithm on real world application matrices on an IBM SP RS/6000 distributed memory machine.
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