TESTS OF PROBABILISTIC MODELS FOR PROPAGATION OF ROUNDOFF ERRORS

TESTS OF PROBABILISTIC MODELS FOR PROPAGATION OF ROUNDOFF ERRORS
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DOI:
10.1145/365170.365212
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发表时间:
1966-01-01
影响因子:
22.7
通讯作者:
SWENSON, JR
SWENSON, JR
中科院分区:
计算机科学3区
文献类型:
--
作者:
HULL, TE;SWENSON, JR

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在任何长时间的计算中,一般都假定舍入误差的累积效应在某种意义上是统计的。本文的目的是给出舍入误差的某些概率模型的精确描述,然后描述一系列检验这些模型有效性的实验。结论是这些模型一般都是很好的。离散性既罕见又温和。测试技术也可以用于实验各种类型的特殊算法。
In any prolonged computation it is generally assumed that the accumulated effect of roundoff errors is in some sense statistical.The purpose of this paper is to give precise descriptions of certain probabilistic models for roundoff error, and then to describe a series of experiments for testing the validity of these models.It is concluded that the models are in general very good. Discrepancies are both rare and mild.The test techniques can also be used to experiment with various types of special arithmetic.