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» Efficient Evaluation of Large Polynomials
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ASAP
2010
IEEE
193views Hardware» more  ASAP 2010»
13 years 9 months ago
Automatic generation of polynomial-based hardware architectures for function evaluation
Abstract--Polynomial approximation is a very general technique for the evaluation of a wide class of numerical functions of one variable. This article details an architecture gener...
Florent de Dinechin, Mioara Joldes, Bogdan Pasca
APPT
2009
Springer
13 years 11 months ago
Efficient Multiplication of Polynomials on Graphics Hardware
We present the algorithm to multiply univariate polynomials with integer coefficients efficiently using the Number Theoretic transform (NTT) on Graphics Processing Units (GPU). The...
Pavel Emeliyanenko
ARITH
2007
IEEE
13 years 11 months ago
Efficient polynomial L-approximations
We address the problem of computing a good floating-point-coefficient polynomial approximation to a function, with respect to the supremum norm. This is a key step in most process...
Nicolas Brisebarre, Sylvain Chevillard
EUROCRYPT
2000
Springer
13 years 11 months ago
Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations
The security of many recently proposed cryptosystems is based on the difficulty of solving large systems of quadratic multivariate polynomial equations. This problem is NP-hard ove...
Nicolas Courtois, Alexander Klimov, Jacques Patari...
VLDB
2004
ACM
119views Database» more  VLDB 2004»
14 years 8 months ago
Evaluating holistic aggregators efficiently for very large datasets
Indatawarehousingapplications,numerousOLAP queries involve the processing of holistic aggregators such as computing the "top n," median, quantiles, etc. In this paper, we...
Lixin Fu, Sanguthevar Rajasekaran