Fast Parallel Algorithm for Polynomial Evaluation

Przemysław Stpiczyński
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引用次数: 6

Abstract

We present a new efficient parallel algorithm for polynomial evaluation based on a previously introduced divide-and-conquer method for solving linear recurrence systems with constant coefficients, which is formulated in terms of the level 1 BLAS (Basic Linear Algebra Subprograms) routine AXPY. We also discuss its platform-independent implementation with OpenMP and finally present the results of experiments performed on a dual processor Pentium III computer running under Linux operating system with Altas as an efficient implementation of BLAS. The sequential version of the algorithm is up to three times faster than the Horner's scheme.
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多项式求值的快速并行算法
我们提出了一种新的高效的并行多项式求值算法,该算法基于先前介绍的求解常系数线性递归系统的分治法,该算法是用一级BLAS(基本线性代数子程序)例程AXPY表示的。我们还讨论了它与OpenMP平台无关的实现,最后给出了在Linux操作系统下运行的双处理器Pentium III计算机上的实验结果,Altas作为BLAS的有效实现。该算法的顺序版本比霍纳方案快三倍。
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