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ASAP
2010
IEEE
142views Hardware» more  ASAP 2010»
13 years 9 months ago
Implementing decimal floating-point arithmetic through binary: Some suggestions
We propose several algorithms and provide some related results that make it possible to implement decimal floating-point arithmetic on a processor that does not have decimal opera...
Nicolas Brisebarre, Nicolas Louvet, Érik Ma...
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
SIAMSC
2008
151views more  SIAMSC 2008»
13 years 7 months ago
Accurate Floating-Point Summation Part I: Faithful Rounding
Given a vector of floating-point numbers with exact sum s, we present an algorithm for calculating a faithful rounding of s, i.e. the result is one of the immediate floating-point ...
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
SIAMSC
2008
168views more  SIAMSC 2008»
13 years 7 months ago
Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest
In this Part II of this paper we first refine the analysis of error-free vector transformations presented in Part I. Based on that we present an algorithm for calculating the round...
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 7 months ago
Simultaneous Modular Reduction and Kronecker Substitution for Small Finite Fields
We present algorithms to perform modular polynomial multiplication or modular dot product efficiently in a single machine word. We pack polynomials into integers and perform sever...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy