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» Isolating real roots of real polynomials
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AAECC
2010
Springer
132views Algorithms» more  AAECC 2010»
14 years 10 months ago
On the geometry of polar varieties
The aim of this paper is a comprehensive presentation of the geometrical tools which are necessary to prove the correctness of several up to date algorithms with intrinsic complex...
Bernd Bank, Marc Giusti, Joos Heintz, Mohab Safey ...
WEA
2009
Springer
104views Algorithms» more  WEA 2009»
15 years 4 months ago
Univariate Algebraic Kernel and Application to Arrangements
We present a cgal-based univariate algebraic kernel, which provides certied real-root isolation of univariate polynomials with integer coecients and standard functionalities such...
Sylvain Lazard, Luis Mariano Peñaranda, Eli...
AUTOMATICA
2006
142views more  AUTOMATICA 2006»
14 years 10 months ago
Stability regions in the parameter space: D-decomposition revisited
The challenging problem in linear control theory is to describe the total set of parameters (controller coefficients or plant characteristics) which provide stability of a system....
Elena N. Gryazina, Boris T. Polyak
CASC
2011
Springer
212views Mathematics» more  CASC 2011»
13 years 10 months ago
Semi-algebraic Description of the Equilibria of Dynamical Systems
Abstract. We study continuous dynamical systems defined by autonomous ordinary differential equations, themselves given by parametric rational functions. For such systems, we pro...
Changbo Chen, Marc Moreno Maza
COMPGEOM
2009
ACM
15 years 4 months ago
On the topology of planar algebraic curves
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of...
Jinsan Cheng, Sylvain Lazard, Luis Mariano Pe&ntil...