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CASC
2011
Springer
212views Mathematics» more  CASC 2011»
12 years 11 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
FCSC
2008
87views more  FCSC 2008»
13 years 11 months ago
On the verification of polynomial system solvers
Abstract. We discuss the verification of mathematical software solving polynomial systems symbolically by way of triangular decomposition. Standard verification techniques are high...
Changbo Chen, Marc Moreno Maza, Wei Pan, Yuzhen Xi...
ISSAC
2009
Springer
171views Mathematics» more  ISSAC 2009»
14 years 6 months ago
Computing cylindrical algebraic decomposition via triangular decomposition
Cylindrical algebraic decomposition is one of the most important tools for computing with semi-algebraic sets, while triangular decomposition is among the most important approache...
Changbo Chen, Marc Moreno Maza, Bican Xia, Lu Yang