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» The algebraic degree of semidefinite programming
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SAC
2010
ACM
14 years 10 days ago
Constraint-based LN-curves
We consider the design of parametric curves from geometric constraints such as distance from lines or points and tangency to lines or circles. We solve the Hermite problem with su...
Young Joon Ahn, Christoph M. Hoffmann
ICPPW
2005
IEEE
13 years 11 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
LCPC
2004
Springer
13 years 11 months ago
A Geometric Approach for Partitioning N-Dimensional Non-rectangular Iteration Spaces
Abstract. Parallel loops account for the greatest percentage of program parallelism. The degree to which parallelism can be exploited and the amount of overhead involved during par...
Arun Kejariwal, Paolo D'Alberto, Alexandru Nicolau...
STOC
1998
ACM
135views Algorithms» more  STOC 1998»
13 years 9 months ago
Checking Polynomial Identities over any Field: Towards a Derandomization?
We present a Monte Carlo algorithm for testing multivariate polynomial identities over any field using fewer random bits than other methods. To test if a polynomial P(x1 ::: xn) ...
Daniel Lewin, Salil P. Vadhan
TPHOL
2007
IEEE
13 years 11 months ago
Verifying Nonlinear Real Formulas Via Sums of Squares
Techniques based on sums of squares appear promising as a general approach to the universal theory of reals with addition and multiplication, i.e. verifying Boolean combinations of...
John Harrison