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ASAP
2008
IEEE
199views Hardware» more  ASAP 2008»
13 years 9 months ago
An efficient method for evaluating polynomial and rational function approximations
In this paper we extend the domain of applicability of the E-method [7, 8], as a hardware-oriented method for evaluating elementary functions using polynomial and rational functio...
Nicolas Brisebarre, Sylvain Chevillard, Milos D. E...
AAECC
2007
Springer
132views Algorithms» more  AAECC 2007»
13 years 7 months ago
Approximate implicitization of planar curves by piecewise rational approximation of the distance function
We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given...
Mohamed Shalaby, Bert Jüttler, Josef Schicho
CASES
2005
ACM
13 years 9 months ago
Automating custom-precision function evaluation for embedded processors
Due to resource and power constraints, embedded processors often cannot afford dedicated floating-point units. For instance, the IBM PowerPC processor embedded in Xilinx Virtex-...
Ray C. C. Cheung, Dong-U Lee, Oskar Mencer, Wayne ...
ARITH
2007
IEEE
13 years 11 months ago
Efficient polynomial L-approximations
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 process...
Nicolas Brisebarre, Sylvain Chevillard
ISSAC
2007
Springer
153views Mathematics» more  ISSAC 2007»
14 years 1 months ago
On exact and approximate interpolation of sparse rational functions
The black box algorithm for separating the numerator from the denominator of a multivariate rational function can be combined with sparse multivariate polynomial interpolation alg...
Erich Kaltofen, Zhengfeng Yang