| Issue |
RAIRO-Theor. Inf. Appl.
Volume 41, Number 1, January-March 2007
Real Numbers
|
|
|---|---|---|
| Page(s) | 71 - 83 | |
| DOI | https://doi.org/10.1051/ita:2007002 | |
| Published online | 24 April 2007 | |
Correct rounding of algebraic functions
1
Laboratoire LIP (CNRS/ENS Lyon/INRIA/Univ. Lyon 1),
Projet Arénaire, 46 allée d'Italie, 69364 Lyon Cedex 07,
France;
Nicolas.Brisebarre@ens-lyon.fr; Jean-Michel.Muller@ens-lyon.fr
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.