RAIRO-Theor. Inf. Appl.
Volume 41, Number 1, January-March 2007Real Numbers
|Page(s)||71 - 83|
|Published online||24 April 2007|
Correct rounding of algebraic functions
Laboratoire LIP (CNRS/ENS Lyon/INRIA/Univ. Lyon 1),
Projet Arénaire, 46 allée d'Italie, 69364 Lyon Cedex 07,
2 Laboratoire LaMUSE, Université J. Monnet (Saint-Étienne), 23, rue du Dr P. Michelon, 42023 Saint-Étienne Cedex 02, France.
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.
Mathematics Subject Classification: 11J68 / 65D20 / 65G
Key words: Floating-point arithmetic / computer arithmetic / algebraic functions / correct rounding / diophantine approximation.
© EDP Sciences, 2007
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