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...
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
: 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...
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...
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...