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TCS
2008
13 years 4 months ago
Real algebraic numbers and polynomial systems of small degree
We present exact and complete algorithms based on precomputed Sturm-Habicht sequences, discriminants and invariants, that classify, isolate with rational points and compare the re...
Ioannis Z. Emiris, Elias P. Tsigaridas
ESA
2004
Springer
139views Algorithms» more  ESA 2004»
13 years 10 months ago
Comparing Real Algebraic Numbers of Small Degree
We study polynomials of degree up to 4 over the rationals or a computable real subfield. Our motivation comes from the need to evaluate predicates in nonlinear computational geome...
Ioannis Z. Emiris, Elias P. Tsigaridas
CASC
2005
Springer
113views Mathematics» more  CASC 2005»
13 years 10 months ago
Real Solving of Bivariate Polynomial Systems
Abstract. We propose exact, complete and efficient methods for 2 problems: First, the real solving of systems of two bivariate rational polynomials of arbitrary degree. This means ...
Ioannis Z. Emiris, Elias P. Tsigaridas
STACS
2009
Springer
13 years 9 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
RTCSA
2005
IEEE
13 years 10 months ago
Real-Time Scheduling of Sporadic Task Systems When the Number of Distinct Task Types Is Small
In some real-time application systems, there are only a few distinct kinds of tasks, each of which may be instantiated several times during runtime. The scheduling of such sporadi...
Sanjoy K. Baruah, Nathan Fisher