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When a logarithm is a misspelled algorithm
Joldes, Mioara1 
1 Laboratoire de l’Informatique du Parallélisme, École Normale Supérieure de Lyon 46, Allée d’Italie 69364 Lyon Cedex 07
Femmes & math, Forum 9 des Jeunes Mathématiciennes, Tome 9 (2010), pp. 43-47

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The high-quality floating-point implementation of elementary functions is a complex process. A variety of techniques ranging from numerical polynomial approximation algorithms to rigorous computation for bounding the approximation error are used. Firstly, we present a brief overview of this process. Then we show how rigorous computation methods based on multiprecision interval arithmetic and Taylor models are used for certified computation of tight bounds for supremum norms of approximation errors.

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Joldes, Mioara 1

1 Laboratoire de l’Informatique du Parallélisme, École Normale Supérieure de Lyon 46, Allée d’Italie 69364 Lyon Cedex 07 
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Joldes, Mioara. When a logarithm is a misspelled algorithm. Femmes & math, Forum 9 des Jeunes Mathématiciennes, Tome 9 (2010), pp. 43-47. http://geodesic.mathdoc.fr/item/RFM_2010__9__43_0/