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» A General Polynomial Sieve
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ADG
1998
Springer
127views Mathematics» more  ADG 1998»
14 years 26 days ago
Decomposing Algebraic Varieties
Abstract. This paper describes a complete implementation of Ritt-Wu's characteristic sets method in the Maple system. The implemented algorithms include those with variants fo...
Dongming Wang
AAECC
2007
Springer
127views Algorithms» more  AAECC 2007»
13 years 8 months ago
Skew-cyclic codes
We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew polynomial rings are left and right euclidean, the o...
Delphine Boucher, Willi Geiselmann, Felix Ulmer
TSP
2008
118views more  TSP 2008»
13 years 8 months ago
Approximating Functions From Sampled Fourier Data Using Spline Pseudofilters
Recently, new polynomial approximation formulas were proposed for the reconstruction of compactly supported piecewise smooth functions from Fourier data. Formulas for zero and firs...
Ana Gabriela Martínez, Alvaro R. De Pierro
ADCM
2000
104views more  ADCM 2000»
13 years 8 months ago
On the detection of singularities of a periodic function
We discuss the problem of detecting the location of discontinuities of derivatives of a periodic function, given either finitely many Fourier coefficients of the function, or the ...
Hrushikesh Narhar Mhaskar, Jürgen Prestin
ASAP
2010
IEEE
193views Hardware» more  ASAP 2010»
13 years 10 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