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» Exact Real Arithmetic Systems: Results of Competition
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CCA
2000
Springer
13 years 9 months ago
Exact Real Arithmetic Systems: Results of Competition
Abstract. A competition between systems for doing exact real number computations was held in September 2000. We present the results obtained and give a short evaluation of the diï¬...
Jens Blanck
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert
JLP
2006
92views more  JLP 2006»
13 years 5 months ago
Exact real arithmetic using centred intervals and bounded error terms
Approximations based on dyadic centred intervals are investigated as a means for implementing exact real arithmetic. It is shown that the field operations can be implemented on th...
Jens Blanck
FLOPS
2008
Springer
13 years 6 months ago
Certified Exact Real Arithmetic Using Co-induction in Arbitrary Integer Base
In this paper we describe some certified algorithms for exact real arithmetic based on co-recursion. Our work is based on previous experiences using redundant digits of base 2 but ...
Nicolas Julien
ARCS
2010
Springer
13 years 5 months ago
A Tightly Coupled Accelerator Infrastructure for Exact Arithmetics
Processor speed and available computing power constantly increases, enabling computation of more and more complex problems such as numerical simulations of physical processes. In t...
Fabian Nowak, Rainer Buchty