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Parallel Asynchronous Team Algorithms: Convergence and Performance Analysis
July 1996 (vol. 7 no. 7)
pp. 677-688

Abstract—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.

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Index Terms:
Distributed memory multicomputer, asynchronous methods, nonlinear equations, block-iterative methods, convergence conditions, team algorithms, load flow problem, electrical power networks.
Benjamín Barán, Eugenius Kaszkurewicz, Amit Bhaya, "Parallel Asynchronous Team Algorithms: Convergence and Performance Analysis," IEEE Transactions on Parallel and Distributed Systems, vol. 7, no. 7, pp. 677-688, July 1996, doi:10.1109/71.508248
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