27 citations · 35 across the 13 of their papers we have counts for
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cs.SC2013
Analyzing the Dual Space of the Saturated Ideal of a Regular Set and the Local Multiplicities of its Zeros
Xiaoliang Li, Wei Niu
In this paper, we are concerned with the problem of counting the multiplicities of a zero-dimensional regular set's zeros. We generalize the squarefree decomposition of univariate…
cs.SC2013
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…
cs.SC2011
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…