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ISSAC
2009
Springer
171views Mathematics» more  ISSAC 2009»
14 years 1 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
CASC
2007
Springer
108views Mathematics» more  CASC 2007»
14 years 1 months ago
Comprehensive Triangular Decomposition
We introduce the concept of comprehensive triangular decomposition (CTD) for a parametric polynomial system F with coefficients in a field. In broad words, this is a finite part...
Changbo Chen, Oleg Golubitsky, François Lem...
CASC
2011
Springer
212views Mathematics» more  CASC 2011»
12 years 7 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 7 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...
JSC
2007
97views more  JSC 2007»
13 years 6 months ago
On approximate triangular decompositions in dimension zero
Triangular decompositions for systems of polynomial equations with n variables, with exact coefficients, are well developed theoretically and in terms of implemented algorithms i...
Marc Moreno Maza, Gregory J. Reid, Robin Scott, We...