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» In Praise of Numerical Computation
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CF
2004
ACM
14 years 2 months ago
Effect of auto-tuning with user's knowledge for numerical software
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Takahiro Katagiri, Kenji Kise, Hiroki Honda, Toshi...
FPL
2007
Springer
138views Hardware» more  FPL 2007»
14 years 3 months ago
Bringing High-Performance Reconfigurable Computing to Exact Computations
Numerical non-robustness is a recurring phenomenon in scientific computing. It is primarily caused by numerical errors arising because of fixed-precision arithmetic in integer and...
Esam El-Araby, Ivan Gonzalez, Tarek A. El-Ghazawi
JSC
2006
147views more  JSC 2006»
13 years 8 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
ISSAC
1995
Springer
125views Mathematics» more  ISSAC 1995»
14 years 11 days ago
Numeric-Symbolic Algorithms for Evaluating One-Dimensional Algebraic Sets
: We present e cient algorithms based on a combination of numeric and symbolic techniques for evaluating one-dimensional algebraic sets in a subset of the real domain. Given a desc...
Shankar Krishnan, Dinesh Manocha
AAAI
1993
13 years 10 months ago
Numeric Reasoning with Relative Orders of Magnitude
In [Dague, 1993], a formal system ROM(K) involving four relations has been defined to reason with relative orders of magnitude. In this paper, problems of introducing quantitative...
Philippe Dague