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» Real Solving of Bivariate Polynomial Systems
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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
CORR
2011
Springer
186views Education» more  CORR 2011»
13 years 7 days 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
CORR
2010
Springer
159views Education» more  CORR 2010»
13 years 5 months ago
An Elimination Method for Solving Bivariate Polynomial Systems: Eliminating the Usual Drawbacks
We present an exact and complete algorithm to isolate the real solutions of a zero-dimensional bivariate polynomial system. The proposed algorithm constitutes an elimination metho...
Eric Berberich, Pavel Emeliyanenko, Michael Sagral...
ISSAC
2007
Springer
111views Mathematics» more  ISSAC 2007»
13 years 11 months ago
On the complexity of real solving bivariate systems
Dimitrios I. Diochnos, Ioannis Z. Emiris, Elias P....
TCS
2008
13 years 5 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