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JSC
2010
103views more  JSC 2010»
14 years 8 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
JAT
2006
73views more  JAT 2006»
14 years 9 months ago
Factorization of multivariate positive Laurent polynomials
Abstract. Recently M. Dritschel proved that any positive multivariate Laurent polynomial can be factorized into a sum of square magnitudes of polynomials. We first give another pro...
Jeffrey S. Geronimo, Ming-Jun Lai
ISSAC
2004
Springer
135views Mathematics» more  ISSAC 2004»
15 years 2 months ago
The truncated fourier transform and applications
In this paper, we present a truncated version of the classical Fast Fourier Transform. When applied to polynomial multiplication, this algorithm has the nice property of eliminati...
Joris van der Hoeven
STACS
2009
Springer
15 years 2 months ago
Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties
We consider the problem of uniform sampling of points on an algebraic variety. Specifically, we develop a randomized algorithm that, given a small set of multivariate polynomials ...
Mahdi Cheraghchi, Amin Shokrollahi
EUROCRYPT
1999
Springer
15 years 1 months ago
Software Performance of Universal Hash Functions
Abstract. This paper compares the parameters sizes and software performance of several recent constructions for universal hash functions: bucket hashing, polynomial hashing, Toepli...
Wim Nevelsteen, Bart Preneel