3 papers
cs.SC2014
Hierarchical Comprehensive Triangular Decomposition
Zhenghong Chen, Xiaoxian Tang, Bican Xia
The concept of comprehensive triangular decomposition (CTD) was first introduced by Chen et al. in their CASC'2007 paper and could be viewed as an analogue of comprehensive Grobner…
cs.SC2013
Generic Regular Decompositions for Parametric Polynomial Systems
Zhenghong Chen, Xiaoxian Tang, Bican Xia
This paper presents a generalization of our earlier work in [19]. In this paper, the two concepts, generic regular decomposition (GRD) and regular-decomposition-unstable (RDU) vari…
cs.SC2012
Generic Regular Decompositions for Generic Zero-Dimensional Systems
Xiaoxian Tang, Zhenghong Chen, Bican Xia
Two new concepts, generic regular decomposition and regular-decomposition-unstable (RDU) variety for generic zero-dimensional systems, are introduced in this paper and an algorithm…