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A Parallel Asynchronous Hybrid Method to Accelerate Convergence of a Linear System

机译:一种并行异步混合方法,以加速线性系统的收敛

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We present a parallel hybrid asynchronous method to solve large sparse linear systems by the use of a large parallel machine. This method combines a parallel GMRES(m) algorithm with the Least Squares method that needs some eigenvalues obtained from a parallel Arnoldi's algorithm. All of the algorithms run on the different processors of an IBM SP3 computer simultaneously. This implementation of this hybrid method allows to take advantage of the parallelism available and to accelerate the convergence by decreasing considerably the number of iterations.
机译:我们呈现了一种平行的混合异步方法来解决大型并联机器的大型稀疏线性系统。该方法将平行GMRES(M)算法与最小二乘法相结合,该方法需要从并行Arnoldi算法获得的一些特征值。所有算法同时在IBM SP3计算机的不同处理器上运行。这种混合方法的这种实现允许利用可用的并行性,并通过显着减少迭代的数量来加速收敛。

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