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» Factoring Solution Sets of Polynomial Systems in Parallel
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ICPPW
2005
IEEE
13 years 10 months ago
Factoring Solution Sets of Polynomial Systems in Parallel
We report on a £rst parallel implementation of a recent algorithm to factor positive dimensional solution sets of polynomial systems. As the algorithm uses homotopy continuation,...
Anton Leykin, Jan Verschelde
TCS
2008
13 years 4 months ago
Nondeterministic polynomial time factoring in the tile assembly model
Formalized study of self-assembly has led to the definition of the tile assembly model, Previously I presented ways to compute arithmetic functions, such as addition and multiplic...
Yuriy Brun
ECCV
2006
Springer
14 years 6 months ago
Direct Solutions for Computing Cylinders from Minimal Sets of 3D Points
Efficient direct solutions for the determination of a cylinder from points are presented. The solutions range from the well known direct solution of a quadric to the minimal soluti...
Christian Beder, Wolfgang Förstner
CASC
2010
Springer
160views Mathematics» more  CASC 2010»
13 years 3 months ago
Factorization of Polynomials and GCD Computations for Finding Universal Denominators
We discuss the algorithms which, given a linear difference equation with rational function coefficients over a field k of characteristic 0, compute a polynomial U(x) ∈ k[x] (a ...
Sergei A. Abramov, A. Gheffar, D. E. Khmelnov
CORR
2011
Springer
186views Education» more  CORR 2011»
12 years 12 months ago
On the Complexity of Solving a Bivariate Polynomial System
We study the complexity of computing the real solutions of a bivariate polynomial system using the recently proposed algorithm Bisolve [3]. Bisolve is a classical elimination metho...
Pavel Emeliyanenko, Michael Sagraloff