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A W-matrix methodology for solving sparse network equations on multiprocessor computers

机译:用于解决多处理器计算机上的稀疏网络方程的W矩阵方法

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The authors describe a methodology for solving efficiently sparse network equations on multiprocessor computers. The methodology is based on the matrix inverse factors (W-matrix) approach to the direct solution phase of Ax=b systems. A partitioning scheme of the W-matrix, based on the leaf-nodes of the factorization path tree, is proposed. The methodology allows the performance of all the updating operations on vector b in parallel, within each partition, using a row-oriented processing. The approach takes advantage of the processing power of the individual processors. Performance results are presented and discussed.
机译:作者介绍了一种在多处理器计算机上有效求解稀疏网络方程的方法。该方法基于Ax = b系统直接求解阶段的矩阵逆因子(W-matrix)方法。提出了一种基于分解路径树的叶节点的W矩阵的划分方案。该方法允许使用面向行的处理在每个分区内并行执行向量b上所有更新操作。该方法利用了各个处理器的处理能力。性能结果进行了介绍和讨论。

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