A Direct Approach to the Parallel Evaluation of Rational Expressions with a Small Number of Processors

Marc Snir; Amnon B. Barak

doi:10.1109/TC.1977.1674728

A Direct Approach to the Parallel Evaluation of Rational Expressions with a Small Number of Processors

Marc Snir, Amnon B. Barak

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper we construct algorithms and investigate the time required for the parallel evaluation of rational expressions using small numbers of processors. We define algorithms which compute a polynomial with n operations in 3n/(2p+ 1) + Q(p2) time units with p processors and a general rational expression with n operations in 5n/(2p+ 3) +0(p2) time units. These algorithms are suitable for implementation on computers with restricted data access.

Original language	English
Pages (from-to)	933-937
Number of pages	5
Journal	IEEE Transactions on Computers
Volume	C-26
Issue number	10
DOIs	https://doi.org/10.1109/TC.1977.1674728
State	Published - Oct 1977

Keywords

Computational complexity
Parallel algorithms
Polynomial expressions
Rational expressions
Recursive doubling

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10.1109/TC.1977.1674728

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A Direct Approach to the Parallel Evaluation of Rational Expressions with a Small Number of Processors

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