Correct rounding of algebraic functions

被引：3
|
作者：
Brisebarre, Nicolas
Muller, Jean-Michel
机构：
[1] Univ Lyon 1, CNRS, ENS Lyon,INRIA, Lab LIP,Projet Arenaire, F-69364 Lyon 07, France
[2] Univ St Etienne, Lab LaMUSE, F-42023 St Etienne 02, France
来源：
RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS | 2007年 / 41卷 / 01期
关键词：
floating-point arithmetic; computer arithmetic; algebraic functions; correct rounding; diophantine approximation;
D O I：
10.1051/ita:2007002
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We explicit the link between the computer arithmetic problem of providing correctly rounded algebraic functions and some diophantine approximation issues. This allows to get bounds on the accuracy with which intermediate calculations must be performed to correctly round these functions.
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页码：71 / 83
页数：13
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