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Computer Arithmetic, IEEE Symposium on (2007)
Montpellier, France
June 25, 2007 to June 27, 2007
ISSN: 1063-6889
ISBN: 0-7695-2854-6
pp: 169-176
Nicolas Brisebarre , LaMUSE, Universite J. Monnet, Cedex, France
Sylvain Chevillard , LIP (CNRS/ENS Lyon/INRIA/Univ. Lyon 1), France
ABSTRACT
We address the problem of computing a good floating-point-coefficient polynomial approximation to a function, with respect to the supremum norm. This is a key step in most processes of evaluation of a function. We present a fast and efficient method, based on lattice basis reduction, that often gives the best polynomial possible and most of the time returns a very good approximation.
INDEX TERMS
Efficient polynomial approximation, floating-point arithmetic, absolute error, L norm, lattice basis reduction, closest vector problem, LLL algorithm.
CITATION
Nicolas Brisebarre, Sylvain Chevillard, "Efficient polynomial L-approximations", Computer Arithmetic, IEEE Symposium on, vol. 00, no. , pp. 169-176, 2007, doi:10.1109/ARITH.2007.17
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