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DAGSTUHL
2008
13 years 6 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
EUSFLAT
2007
170views Fuzzy Logic» more  EUSFLAT 2007»
13 years 6 months ago
Inverse Arithmetic Operators for Fuzzy Intervals
Fuzzy arithmetic is a powerful tool in many engineering problems such as decision making, control theory, fuzzy systems and approximate reasoning. However, it is well known that t...
Reda Boukezzoula, Sylvie Galichet, Laurent Foulloy
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
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
ARITH
2001
IEEE
13 years 8 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