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A generalization of Amdahl's law and relative conditions of parallelism

Gianluca Argentini
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Abstract

In this work I present a generalization of Amdahl's law on the limits of a parallel implementation with many processors. In particular I establish some mathematical relations involving the number of processors and the dimension of the treated problem, and with these conditions I define, on the ground of the reachable speedup, some classes of parallelism for the implementations. I also derive a condition for obtaining superlinear speedup. The used mathematical technics are those of differential calculus. I describe some examples from classical problems offered by the specialized literature on the subject.

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Gianluca Argentini. 2002-09-25. A generalization of Amdahl's law and relative conditions of parallelism. https://arxiv.org/abs/cs/0209029

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