64 citations · 69 across the 5 of their papers we have counts for
5 papers
On the Reduced Gröbner Bases of Blockwise Determinantal Ideals
Chenqi Mou, Qiuye Song
Blockwise determinantal ideals are those generated by the union of all the minors of specified sizes in certain blocks of a generic matrix, and they are the natural generalization…
Chordal Graphs in Triangular Decomposition in Top-Down Style
Chenqi Mou, Yang Bai, Jiahua Lai
In this paper, we first prove that when the associated graph of a polynomial set is chordal, a particular triangular set computed by a general algorithm in top-down style for compu…
On the chordality of polynomial sets in triangular decomposition in top-down style
Chenqi Mou, Yang Bai
In this paper the chordal graph structures of polynomial sets appearing in triangular decomposition in top-down style are studied when the input polynomial set to decompose has a c…
Decomposition of polynomial sets into characteristic pairs
Dongming Wang, Rina Dong, Chenqi Mou
A characteristic pair is a pair (G,C) of polynomial sets in which G is a reduced lexicographic Groebner basis, C is the minimal triangular set contained in G, and C is normal. In t…
Sparse FGLM algorithms
Jean-Charles Faugère, Chenqi Mou
Given a zero-dimensional ideal I in K[x1,...,xn] of degree D, the transformation of the ordering of its Groebner basis from DRL to LEX is a key step in polynomial system solving an…