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COMPUTING
2006
100views more  COMPUTING 2006»
13 years 5 months ago
Interval Arithmetic with Containment Sets
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...
John D. Pryce, George F. Corliss
GLVLSI
1998
IEEE
119views VLSI» more  GLVLSI 1998»
13 years 9 months ago
A Combined Interval and Floating Point Multiplier
Interval arithmetic provides an e cient method for monitoring and controlling errors in numerical calculations. However, existing software packages for interval arithmetic are oft...
James E. Stine, Michael J. Schulte
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
COMPGEOM
1998
ACM
13 years 9 months ago
Interval Arithmetic Yields Efficient Dynamic Filters for Computational Geometry
We discuss floating-point filters as a means of restricting the precision needed for arithmetic operations while still computing the exact result. We show that interval techniques...
Hervé Brönnimann, Christoph Burnikel, ...
DFG
2007
Springer
13 years 9 months ago
Why Interval Arithmetic is so Useful
: Interval arithmetic was introduced by Ramon Moore [Moo66] in the 1960s as an approach to bound rounding errors in mathematical computation. The theory of interval analysis emerge...
Younis Hijazi, Hans Hagen, Charles D. Hansen, Kenn...