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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
JSC
2010
103views more  JSC 2010»
13 years 7 months ago
Bounds on absolute positiveness of multivariate polynomials
We propose a general framework for obtaining bounds on absolute positiveness of multivariate polynomials. We show that a known bound by Hong is a nearly optimal bound within this ...
Prashant Batra, Vikram Sharma