Bernard Mourrain

most citedStable normal forms for polynomial system solving

34 citations · 43 across the 4 of their papers we have counts for

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cs.SC2008★ 3 cited

A Sparse Flat Extension Theorem for Moment Matrices

Monique Laurent, Bernard Mourrain

In this note we prove a generalization of the flat extension theorem of Curto and Fialkow for truncated moment matrices. It applies to moment matrices indexed by an arbitrary set o…

cs.SC2008

Moment matrices, trace matrices and the radical of ideals

Itnuit Janovitz-Freireich, Agnes Szanto, Bernard Mourrain +1

Let $f_{1}, ..., f_{s} \in K [x_{1}, ..., x_{m}]$ be a system of polynomials generating a zero-dimensional ideal $\I$, where $K$ is an arbitrary algebraically closed field. As…

cs.SC2008★ 34 cited

Stable normal forms for polynomial system solving

Bernard Mourrain, Philippe Trébuchet

This paper describes and analyzes a method for computing border bases of a zero-dimensional ideal $I$ . The criterion used in the computation involves specific commutation polynomia…