The parallel implementation on an array processor and the mathematical basis of the POTS algorithm for the computation of subsets of eigenpairs of a real symmetric matrix of order n, 8/spl les/n/spl les/256 is discussed. An adaptation of the algorithm incorporating an acceleration technique is presented and contrasted with the original. Finally, the execution time efficiency of the algorithms for the computation of partial eigensolutions of a variety of matrices is presented, analysed and compared to that of a parallel Lanczos algorithm for the computation of subsets of eigenpairs of real symmetric matrices.
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机译:讨论阵列处理器上的并行实现和用于计算订单N,8 / SPL LES / SPL LES / 256的实际对称矩阵的亚群的套件算法的POTS算法的数学基础。呈现了加速技术的算法的改编,并与原件形成对比。最后,呈现了用于计算各种矩阵的部分engensolutions的算法的执行时间效率,并与实际对称矩阵特征族的子集计算的并行LanczoS算法进行了分析。
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