112 citations · 425 across the 52 of their papers we have counts for
Showing 2017 · math.AGShow all
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math.AG2017★ 2 cited
Solving Polynomial Systems via a Stabilized Representation of Quotient Algebras
Simon Telen, Bernard Mourrain, Marc Van Barel
We consider the problem of finding the isolated common roots of a set of polynomial functions defining a zero-dimensional ideal I in a ring R of polynomials over C. We propose a ge…
math.AG2017
Fast algorithm for border bases of Artinian Gorenstein algebras
Bernard Mourrain
Given a multi-index sequence , we present a new efficient algorithm to compute generators of the linear recurrence relations between the terms of . We transform this prob…
math.AG2017
Structured low rank decomposition of multivariate Hankel matrices
Jouhayna Harmouch, Houssam Khalil, Bernard Mourrain
We study the decomposition of a multivariate Hankel matrix H\_ as a sum of Hankel matrices of small rank in correlation with the decomposition of its symbol as a sum of poly…