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
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...
Abstract. We study continuous dynamical systems defined by autonomous ordinary differential equations, themselves given by parametric rational functions. For such systems, we pro...
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...
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...