131 search results - page 1 / 27 » Interval Arithmetic with Containment Sets |
COMPUTING
2006
13 years 4 months ago
2006
The idea of containment sets (csets) is due to Walster and Hansen, and the theory is mainly due to the first author. Now that floating point computation with infinities is widely a...
DAGSTUHL
2008
13 years 6 months ago
2008
Interval arithmetic is arithmetic for continuous sets. Floating-point intervals are intervals of real numbers with floating-point bounds. Operations for intervals can be efficient...
DAGSTUHL
2008
13 years 6 months ago
2008
: Let IIR be the set of closed and bounded intervals of real numbers. Arithmetic in IIR can be defined via the power set IPIR of real numbers. If divisors containing zero are exclu...
DAGSTUHL
2008
13 years 6 months ago
2008
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...
COMPUTING
2006
13 years 4 months ago
2006
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...