Analysis of parallel algorithms: Difference between revisions

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Brent's original paper found a <= for the right side of the Tp inequality. Looks like Blelloch's may have miscited this.
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An alternative statement of the law bounds {{mvar|T<sub>p</sub>}} above and below by
 
:<math>\frac{T_1}{p} \leq T_p <\leq \frac{T_1}{p} + T_\infty</math>.
 
showing that the span (depth) {{math|''T''<sub>∞</sub>}} and the work {{math|''T''<sub>1</sub>}} together provide reasonable bounds on the computation time.<ref>{{Cite namejournal|last="cacm"Brent|first=Richard P.|date=1974-04-01|title=The Parallel Evaluation of General Arithmetic Expressions|url=http://dl.acm.org/citation.cfm?id=321812.321815|journal=Journal of the ACM (JACM)|volume=21|issue=2|pages=201–206|doi=10.1145/321812.321815|issn=0004-5411}}</ref>
 
==References==