A parallel algorithm for accurate dot product

N. Yamanaka, T. Ogita, S. M. Rump, S. Oishi

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Parallel algorithms for accurate summation and dot product are proposed. They are parallelized versions of fast and accurate algorithms of calculating sum and dot product using error-free transformations which are recently proposed by Ogita et al. [T. Ogita, S.M. Rump, S. Oishi, Accurate sum and dot product, SIAM J. Sci. Comput. 26 (6) (2005) 1955-1988]. They have shown their algorithms are fast in terms of measured computing time. However, due to the strong data dependence in the process of their algorithms, it is difficult to parallelize them. Similarly to their algorithms, the proposed parallel algorithms in this paper are designed to achieve the results as if computed in K-fold working precision with keeping the fastness of their algorithms. Numerical results are presented showing the performance of the proposed parallel algorithm of calculating dot product.

Original languageEnglish
Pages (from-to)392-410
Number of pages19
JournalParallel Computing
Volume34
Issue number6-8
DOIs
Publication statusPublished - 2008 Jul 1

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Keywords

  • Accurate dot product
  • Accurate summation
  • Higher precision
  • Parallel algorithm

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Hardware and Architecture
  • Computer Networks and Communications
  • Computer Graphics and Computer-Aided Design
  • Artificial Intelligence

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