Correct rounding of algebraic functions
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 41 (2007) no. 1, pp. 71-83.

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.

DOI : 10.1051/ita:2007002
Classification : 11J68, 65D20, 65G
Mots-clés : floating-point arithmetic, computer arithmetic, algebraic functions, correct rounding, diophantine approximation 
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Brisebarre, Nicolas; Muller, Jean-Michel. Correct rounding of algebraic functions. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 41 (2007) no. 1, pp. 71-83. doi : 10.1051/ita:2007002. http://www.numdam.org/articles/10.1051/ita:2007002/

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