5 citations · 8 across the 8 of their papers we have counts for
4 papers · 1 filter
Computing strong regular characteristic pairs with Groebner bases
Rina Dong, Dongming Wang
The W-characteristic set of a polynomial ideal is the minimal triangular set contained in the reduced lexicographical Groebner basis of the ideal. A pair (G,C) of polynomial sets i…
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…
Computing Equilibria of Semi-algebraic Economies Using Triangular Decomposition and Real Solution Classification
Xiaoliang Li, Dongming Wang
In this paper, we are concerned with the problem of determining the existence of multiple equilibria in economic models. We propose a general and complete approach for identifying…
A New Algorithmic Scheme for Computing Characteristic Sets
Meng Jin, Xiaoliang Li, Dongming Wang
Ritt-Wu's algorithm of characteristic sets is the most representative for triangularizing sets of multivariate polynomials. Pseudo-division is the main operation used in this algor…