Abstract : The goal of this paper is to analyze two polynomial evaluation schemes for multiple precision floating point arithmetic. Polynomials are used extensively in numerical computations (Taylor series for mathematical functions, root finding) but a rigorous bound of the error on the final result is seldom provided. We provide such an estimate for the two schemes and find how to reduce the number of operations required at run-time by a dynamic error analysis. This work is useful for floating point polynomial arithmetic.
https://hal.inria.fr/inria-00099918
Contributeur : Publications Loria
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Soumis le : mardi 26 septembre 2006 - 10:08:56
Dernière modification le : jeudi 11 janvier 2018 - 06:20:00
Document(s) archivé(s) le : mercredi 29 mars 2017 - 13:11:30
Laurent Fousse, Susanne Schmitt. A comparison of polynomial evaluation schemes. 6th Conference on Real Numbers and Computers (RNC6), 2004, Dagstuhl, Germany, 17 p, 2004. 〈inria-00099918〉
