14 citations · 24 across the 6 of their papers we have counts for
9 papers · 1 filter
A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems
Thi Xuan Vu
We study the problem of computing the isolated regular solutions of a system \((f_1,\ldots,f_n)\) of \(n\) polynomial equations in \(n\) variables \((X_1, \dots, X_n)\) over a fiel…
Computing Polynomial Representation in Subrings of Multivariate Polynomial Rings
Thi Xuan Vu
Let be a multivariate polynomial ring over a field of characteristic 0. Consider algebraically independent elements $g_…
Faster real root decision algorithm for symmetric polynomials
George Labahn, Cordian Riener, Mohab Safey El Din +2
In this paper, we consider the problem of deciding the existence of real solutions to a system of polynomial equations having real coefficients, and which are invariant under the a…
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…