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Parallel asynchronous team algorithms: convergence and performance analysis

机译:并行异步团队算法:收敛和性能分析

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摘要

This paper formalizes a general technique to combine different methods in the solution of large systems of nonlinear equations using parallel asynchronous implementations on distributed-memory multiprocessor systems. Such combinations of methods, referred to as team algorithms, are evaluated as a way of obtaining desirable properties of different methods and a sufficient condition for their convergence is derived. The load flow problem of electrical power networks is presented as an example problem that, under certain conditions, has the characteristics to make a team algorithm an appealing choice for its solution. Experimental results of an implementation on an Intel iPSC/860 Hypercube are reported, showing that considerable speedup and robustness can be obtained using team algorithms.
机译:本文形式化了一种通用技术,该技术可以使用分布式内存多处理器系统上的并行异步实现,在非线性方程组的大型系统求解中组合不同的方法。这种方法的组合,称为团队算法,被评估为获得不同方法的理想属性的一种方式,并为它们的收敛提供了充分条件。电力网络的潮流问题是作为一个示例问题提出的,该问题在某些条件下具有使团队算法成为其解决方案吸引人的选择的特征。报告了在Intel iPSC / 860 Hypercube上实施的实验结果,表明使用团队算法可以获得相当大的提速和鲁棒性。

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