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» Polynomial Interpretations and the Complexity of Algorithms
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CORR
2008
Springer
92views Education» more  CORR 2008»
14 years 12 months ago
On sign conditions over real multivariate polynomials
We present a new probabilistic algorithm to find a finite set of points intersecting the closure of each connected component of the realization of every sign condition over a fami...
Gabriela Jeronimo, Daniel Perrucci, Juan Sabia
90
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SIAMNUM
2010
87views more  SIAMNUM 2010»
14 years 6 months ago
A Note on the Computation of All Zeros of Simple Quaternionic Polynomials
Polynomials with quaternionic coefficients located on only one side of the powers (we call them simple polynomials) may have two different types of zeros: isolated and spherical ze...
Drahoslava Janovská, Gerhard Opfer
ISSAC
2004
Springer
135views Mathematics» more  ISSAC 2004»
15 years 5 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
ECCC
2007
90views more  ECCC 2007»
14 years 11 months ago
Parameterized Proof Complexity: a Complexity Gap for Parameterized Tree-like Resolution
We propose a proof-theoretic approach for gaining evidence that certain parameterized problems are not fixed-parameter tractable. We consider proofs that witness that a given pro...
Stefan S. Dantchev, Barnaby Martin, Stefan Szeider
CORR
2006
Springer
93views Education» more  CORR 2006»
14 years 11 months ago
Fast and Simple Methods For Computing Control Points
The purpose of this paper is to present simple and fast methods for computing control points for polynomial curves and polynomial surfaces given explicitly in terms of polynomials ...
Jean H. Gallier, Weqing Gu