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The Parallel Evaluation of General Arithmetic Expressions
Open accessAbstract
It is shown that arithmetic expressions with n ≥ 1 variables and constants; operations of addition, multiplication, and division; and any depth of parenthesis nesting can be evaluated in time 4 log 2 n + 10( n - 1)/ p using p ≥ 1 processors which can independently perform arithmetic operations in unit time. This bound is within a constant factor of the best possible. A sharper result is given for expressions without the division operation, and the question of numerical stability is discussed.
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Citations
Cited by
Computing Algebraic Formulas Using a Constant Number of Registers
Ben-Or, M., & Cleve, R. (1992) · SIAM Journal on Computing · doi:10.1137/0221006 · Cited by 139
Metadata
- Authors
- Brent, R. P.
- Venue
- Journal of the ACM
- Published
- 1974-04
- Volume
- 21
- Issue
- 2
- Pages
- 201-206
- ISSN
- 0004-5411 (ISSN-L)
- 1557-735X
- OpenAlex
- W2130566259
- Cited by
- 814
- References
- 0
- FWCI
- 9.66
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Brent, R. P. (1974). The Parallel Evaluation of General Arithmetic Expressions. Journal of the ACM. https://doi.org/10.1145/321812.321815
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
