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03/30/2022
Computing critical points for algebraic systems defined by hyperoctahedral invariant polynomials
Let 𝕂 be a field of characteristic zero and 𝕂[x_1, …, x_n] the correspon...
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03/08/2022
On the complexity of invariant polynomials under the action of finite reflection groups
Let 𝕂[x_1, …, x_n] be a multivariate polynomial ring over a field 𝕂. Let...
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02/18/2022
Rank-Sensitive Computation of the Rank Profile of a Polynomial Matrix
Consider a matrix 𝐅∈𝕂[x]^m × n of univariate polynomials over a field 𝕂....
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09/02/2020
Computing critical points for invariant algebraic systems
Let 𝐊 be a field and ϕ, 𝐟 = (f_1, …, f_s) in 𝐊[x_1, …, x_n] be multivari...
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09/02/2020
Homotopy techniques for solving sparse column support determinantal polynomial systems
Let 𝐊 be a field of characteristic zero with 𝐊 its algebraic closure. Gi...
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02/28/2018
Solving determinantal systems using homotopy techniques
Let be a field of characteristic zero and be an algebraic closure of ....
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05/30/2017