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» Exact Real Arithmetic Systems: Results of Competition
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DAGSTUHL
2008
13 years 7 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
2010
Springer
118views Education» more  CORR 2010»
13 years 6 months ago
alphaCertified: certifying solutions to polynomial systems
Smale's -theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to ...
Jonathan D. Hauenstein, Frank Sottile
JSC
2006
147views more  JSC 2006»
13 years 6 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
EUSFLAT
2007
170views Fuzzy Logic» more  EUSFLAT 2007»
13 years 7 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
IJAR
2006
125views more  IJAR 2006»
13 years 6 months ago
Compiling relational Bayesian networks for exact inference
We describe in this paper a system for exact inference with relational Bayesian networks as defined in the publicly available Primula tool. The system is based on compiling propos...
Mark Chavira, Adnan Darwiche, Manfred Jaeger