Title :
A Direct Approach to the Parallel Evaluation of Rational Expressions with a Small Number of Processors
Author :
Snir, Marc ; Barak, Amnon B.
Author_Institution :
Department of Computer Science, The Hebrew University of Jerusalem
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.
Keywords :
Computational complexity, parallel algorithms, polynomial expressions, rational expressions, recursive doubling.; Arithmetic; Computer science; Concurrent computing; Difference equations; Parallel algorithms; Parallel processing; Polynomials; Computational complexity, parallel algorithms, polynomial expressions, rational expressions, recursive doubling.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1977.1674728
