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DAGSTUHL
2008
13 years 5 months ago
Interval Arithmetic and Standardization
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...
Jürgen Wolff von Gudenberg
DAGSTUHL
2008
13 years 5 months ago
Extending the Range of C-XSC: Some Tools and Applications for the use in Parallel and other Environments
We present some examples of extensions for C-XSC that have been developed lately. Among these are extensions that give access to further hardware and software environments as well ...
Markus Grimmer
DAGSTUHL
2008
13 years 5 months ago
Improving the Performance of a Verified Linear System Solver Using Optimized Libraries and Parallel Computation
Abstract. A parallel version of the self-verified method for solving linear systems was presented in [19, 18]. In this research we propose improvements aiming at a better performan...
Mariana Luderitz Kolberg, Gerd Bohlender, Dalcidio...
DAGSTUHL
2008
13 years 5 months ago
Implementation of the reciprocal square root in MPFR
D ABSTRACT) PAUL ZIMMERMANN We describe the implementation of the reciprocal square root -- also called inverse square root -- as a native function in the MPFR library. The difficu...
Paul Zimmermann
DAGSTUHL
2008
13 years 5 months ago
Complete Interval Arithmetic and its Implementation
: 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...
Ulrich W. Kulisch