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» The New IEEE-754 Standard for Floating Point Arithmetic
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ISSAC
2009
Springer
144views Mathematics» more  ISSAC 2009»
14 years 2 months ago
H-LLL: using householder inside LLL
We describe a new LLL-type algorithm, H-LLL, that relies on Householder transformations to approximate the underlying Gram-Schmidt orthogonalizations. The latter computations are ...
Ivan Morel, Damien Stehlé, Gilles Villard
JSC
2006
147views more  JSC 2006»
13 years 7 months ago
An algorithm to solve integer linear systems exactly using numerical methods
In this paper, we present a new algorithm for the exact solutions of linear systems with integer coefficients using numerical methods. It terminates with the correct answer in wel...
Zhendong Wan
PPSC
1993
13 years 9 months ago
I/O for TFLOPS Supercomputers
Scalable parallel computers with TFLOPS (Trillion FLoating Point Operations Per Second) performance levels are now under construction. While we believe TFLOPS processor technology...
Erik DeBenedictis, Stephen C. Johnson
ICCD
2007
IEEE
151views Hardware» more  ICCD 2007»
14 years 4 months ago
Benchmarks and performance analysis of decimal floating-point applications
The IEEE P754 Draft Standard for Floating-point Arithmetic provides specifications for Decimal Floating-Point (DFP) formats and operations. Based on this standard, many developer...
Liang-Kai Wang, Charles Tsen, Michael J. Schulte, ...
COMGEO
2006
ACM
13 years 7 months ago
Inner and outer rounding of Boolean operations on lattice polygonal regions
Robustness problems due to the substitution of the exact computation on real numbers by the rounded floating point arithmetic are often an obstacle to obtain practical implementat...
Olivier Devillers, Philippe Guigue