MPI-INF/SWS Research Reports 1991-2021
2. Number - All Departments
MPI-I-2004-1-005
A comparison of polynomial evaluation schemes
Schmitt, Susanne and Fousse, Laurent
June 2004, 19 pages.
.Status: available - back from printing
The goal of this paper is to analyze two polynomial evaluation
schemes (naive and Horner method) for multiprecision 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
multiprecision floating point evaluation of truncated power series.
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- Attachement: MPI-I-2004-1-005.ps (262 KBytes)
URL to this document: https://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/2004-1-005
BibTeX@TECHREPORT{SchmittFoussee2004,
AUTHOR = {Schmitt, Susanne and Fousse, Laurent},
TITLE = {A comparison of polynomial evaluation schemes},
TYPE = {Research Report},
INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
NUMBER = {MPI-I-2004-1-005},
MONTH = {June},
YEAR = {2004},
ISSN = {0946-011X},
}