Correct rounding of algebraic functions

Abstract : 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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Submitted on : Tuesday, April 24, 2007 - 5:00:15 PM
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Jean-Michel Muller, Nicolas Brisebarre. Correct rounding of algebraic functions. RAIRO - Theoretical Informatics and Applications (RAIRO: ITA), EDP Sciences, 2007, 41 (1), pp.71-83. ⟨10.1051/ita:2007002⟩. ⟨ensl-00143230⟩

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