A generalization of Amdahl's law and relative conditions of parallelism
<|reference_start|>A generalization of Amdahl's law and relative conditions of parallelism: 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.<|reference_end|>
@article{argentini2002a,
    title={A generalization of Amdahl's law and relative conditions of parallelism},
    author={Gianluca Argentini},
    journal={arXiv preprint arXiv:cs/0209029},
    year={2002},
    archivePrefix={arXiv},
    eprint={cs/0209029},
    primaryClass={cs.DC cs.PF}
}