14 citations · 24 across the 5 of their papers we have counts for
6 papers
On the complexity of invariant polynomials under the action of finite reflection groups
Thi Xuan Vu
Let be a multivariate polynomial ring over a field . Let be a sequence of algebraically independent elements in $\…
Rank-Sensitive Computation of the Rank Profile of a Polynomial Matrix
George Labahn, Vincent Neiger, Thi Xuan Vu +1
Consider a matrix of univariate polynomials over a field . We study the problem of computing the column rank profile of $\ma…
Computing critical points for invariant algebraic systems
Jean-Charles Faugère, George Labahn, Mohab Safey El Din +2
Let be a field and , in be multivariate polynomials (with ) invariant under the action of $\m…
Homotopy techniques for solving sparse column support determinantal polynomial systems
George Labahn, Mohab Safey El Din, Éric Schost +1
Let be a field of characteristic zero with its algebraic closure. Given a sequence of polynomials $\mathbf{g} = (g_1, \ldots, g_s) \in \mathbf{…
Solving determinantal systems using homotopy techniques
Jonathan D. Hauenstein, Mohab Safey El Din, Éric Schost +1
Let $\K$ be a field of characteristic zero and $\Kbar$ be an algebraic closure of $\K$. Consider a sequence of polynomials in $\K[X\_1,\dots,X\_n]$, a polynomi…
Computing Canonical Bases of Modules of Univariate Relations
Vincent Neiger, Thi Xuan Vu
We study the computation of canonical bases of sets of univariate relations such that ; here, the input ele…