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The art of computer programming. Vol.2: Seminumerical algorithms

Donald E. Knuth
- 01 Jan 1981 - 
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This article is published in Literacy.The article was published on 1981-01-01 and is currently open access. It has received 2636 citations till now. The article focuses on the topics: Computer programming.

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An Accurate Evaluation of Maurer's Universal Test

TL;DR: This work compute the precise value of c(L,K) and shows that the inaccuracy due to the heuristic estimate can make the test 2.67 times more permissive than what is theoretically admitted.
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Comments on the Analysis of Sedimentation Equilibrium Experiments

TL;DR: The normal method for the analysis of data from sedimentation equilibrium experiments is to fit the experimental data to a functional form, described below as mentioned in this paper, in terms of parameters, such as molecular weights and equilibrium constants, which describe the chemistry of the solution.
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Using Cyclotomic Polynomials to Construct Efficient Discrete Logarithm Cryptosystems Over Finite Fields

TL;DR: It is shown how to use cyclotomic polynomials to construct subgroups of multiplicative groups of finite fields that allow very efficient implementation of discrete logarithm based public key cryptosystems.
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A hybrid approach for multi-attribute qos optimisation in component based software systems

TL;DR: This paper proposes a combined use of analytical optimization techniques and evolutionary algorithms to efficiently identify a significant set of design alternatives, from which an architecture that best fits the different quality objectives can be selected, and demonstrates the use of this approach on a simple case study.
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Variants of Mersenne Twister Suitable for Graphic Processors

TL;DR: In this article, the Mersenne Twister for Graphic Processor (MTGP) was proposed to generate high-dimensional equidistribution numbers on a large grid of GPUs where each GPU requires separate random number streams.