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Conference papers
A comparison of polynomial evaluation schemes
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
Contributor : Publications Loria Connect in order to contact the contributor
Submitted on : Tuesday, September 26, 2006 - 10:08:56 AM
Last modification on : Friday, February 4, 2022 - 3:22:41 AM
Long-term archiving on: : Wednesday, March 29, 2017 - 1:11:30 PM
Contributor : Publications Loria Connect in order to contact the contributor
Submitted on : Tuesday, September 26, 2006 - 10:08:56 AM
Last modification on : Friday, February 4, 2022 - 3:22:41 AM
Long-term archiving on: : Wednesday, March 29, 2017 - 1:11:30 PM