A comparison of polynomial evaluation schemes - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2004

A comparison of polynomial evaluation schemes


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.
Fichier principal
Vignette du fichier
A04-R-452.pdf (211.19 Ko) Télécharger le fichier

Dates and versions

inria-00099918 , version 1 (26-09-2006)


  • HAL Id : inria-00099918 , version 1


Laurent Fousse, Susanne Schmitt. A comparison of polynomial evaluation schemes. 6th Conference on Real Numbers and Computers (RNC6), 2004, Dagstuhl, Germany, 17 p. ⟨inria-00099918⟩
46 View
60 Download


Gmail Facebook Twitter LinkedIn More