Sciweavers

23 search results - page 2 / 5
» Mixed abstractions for floating-point arithmetic
Sort
View
MKM
2009
Springer
13 years 11 months ago
Combining Coq and Gappa for Certifying Floating-Point Programs
Abstract. Formal verification of numerical programs is notoriously difficult. On the one hand, there exist automatic tools specialized in floatingpoint arithmetic, such as Gappa...
Sylvie Boldo, Jean-Christophe Filliâtre, Gui...
ARITH
2007
IEEE
13 years 11 months ago
Optimistic Parallelization of Floating-Point Accumulation
Abstract— Floating-point arithmetic is notoriously nonassociative due to the limited precision representation which demands intermediate values be rounded to fit in the availabl...
Nachiket Kapre, André DeHon
CAL
2007
13 years 5 months ago
Low-Cost Microarchitectural Support for Improved Floating-Point Accuracy
Abstract—Some processors designed for consumer applications, such as Graphics Processing Units (GPUs) and the CELL processor, promise outstanding floating-point performance for ...
William R. Dieter, A. Kaveti, Henry G. Dietz
DAGSTUHL
2008
13 years 6 months ago
A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range
Abstract. A so called staggered precision arithmetic is a special kind of a multiple precision arithmetic based on the underlying floating point data format (typically IEEE double ...
Frithjof Blomquist, Werner Hofschuster, Walter Kr&...
CORR
2008
Springer
162views Education» more  CORR 2008»
13 years 5 months ago
Accelerating Scientific Computations with Mixed Precision Algorithms
On modern architectures, the performance of 32-bit operations is often at least twice as fast as the performance of 64-bit operations. By using a combination of 32-bit and 64-bit ...
Marc Baboulin, Alfredo Buttari, Jack Dongarra, Jak...