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» Interval Arithmetic and Standardization
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ARITH
2001
IEEE
13 years 9 months ago
Worst Cases for Correct Rounding of the Elementary Functions in Double Precision
We give the results of our search for the worst cases for correct rounding of the major elementary functions in double precision floating-point arithmetic. These results allow the...
Vincent Lefèvre, Jean-Michel Muller
DAGSTUHL
2008
13 years 7 months ago
Interval Arithmetic Using SSE-2
ABSTRACT. We present an implementation of double precision interval arithmetic using the single-instruction-multiple-data SSE-2 instruction and register set extensions. The impleme...
Branimir Lambov
EAAI
2010
86views more  EAAI 2010»
13 years 5 months ago
Resolution of nonlinear interval problems using symbolic interval arithmetic
: An interval problem is a problem where the unknown variables take interval values. Such a problem can be defined by interval constraints, such as "the interval [a, b] [a, b...
Luc Jaulin, Gilles Chabert
GECCO
2010
Springer
169views Optimization» more  GECCO 2010»
13 years 9 months ago
Robust symbolic regression with affine arithmetic
We use affine arithmetic to improve both the performance and the robustness of genetic programming for symbolic regression. During evolution, we use affine arithmetic to analyze e...
Cassio Pennachin, Moshe Looks, João A. de V...
COMPUTING
2006
102views more  COMPUTING 2006»
13 years 5 months ago
A Reliable Area Reduction Technique for Solving Circle Packing Problems
Abstract We are dealing with the optimal, i.e. densest packings of congruent circles into the unit square. In the recent years we have built a numerically reliable, verified method...
Mihály Csaba Markót, Tibor Csendes