Brent's theorem

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August undefined, 2024

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"Brent’s Theorem says the four-processor system should require no more than five time steps, and Fig. 2 shows this is clearly the case. Asymptotic Example: Parallel Summation. A common use of Brent’s Theorem is to place bounds on the applicability of parallelism to problems parameterized by size. See more Suppose the task is to solve the following system of two equations in two unknowns, u and v: One solution method is Cramer’s Rule, which is far … See more Let {{{ n}}}_{j} be the number of operations in step j that the PRAM can execute concurrently, where j is 1, 2, …, T. Assume the PRAM … See more A common use of Brent’s Theorem is to place bounds on the applicability of parallelism to problems parameterized by size. For example, to find the sum of a list of n numbers, a … See more Ideal speedup is speedup that is linear in the number of processors. Under the strict assumptions of Brent’s Theorem, superlinear speedup … See more " - Brent's theorem

Brent's theorem

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