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In computer architecture, speedup is a number that measures the relative performance of two systems processing the same problem. More technically, it is the improvement in speed of execution of a task executed on two similar architectures with different resources.
According to the law, even with an infinite number of processors, the speedup is constrained by the unparallelizable portion. In computer architecture, Amdahl's law (or Amdahl's argument [1]) is a formula that shows how much faster a task can be completed when you add more resources to the system. The law can be stated as:
is the theoretical speedup of the program with parallelism (scaled speedup [2]); N {\displaystyle N} is the number of processors; s {\displaystyle s} and p {\displaystyle p} are the fractions of time spent executing the serial parts and the parallel parts of the program, respectively, on the parallel system, where s + p = 1 {\displaystyle s+p=1} .
Linear speedup theorem, that the space and time requirements of a Turing machine solving a decision problem can be reduced by a multiplicative constant factor. Blum's speedup theorem , which provides speedup by any computable function (not just linear, as in the previous theorem).
The technology, called 3.5D XDSiP, will allow Broadcom's custom-chip customers to boost the amount of memory inside each packaged chip and speed up its performance by directly connecting critical ...
While the serial fraction e is often mentioned in computer science literature, it was rarely used as a diagnostic tool the way speedup and efficiency are. Karp and Flatt hoped to correct this by proposing this metric. This metric addresses the inadequacies of the other laws and quantities used to measure the parallelization of computer code.
An algorithm that exhibits linear speedup is said to be scalable. [6] Analytical expressions for the speedup of many important parallel algorithms are presented in this book. [10] Efficiency is the speedup per processor, S p / p. [6] Parallelism is the ratio T 1 / T ∞. It represents the maximum possible speedup on any number of processors.
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