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» Mixed abstractions for floating-point arithmetic
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MKM
2009
Springer
15 years 5 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
15 years 5 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
14 years 11 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
15 years 22 days 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»
14 years 11 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...