34 citations · 59 across the 7 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 be a system of polynomials generating a zero-dimensional ideal $\I$, where 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 . The criterion used in the computation involves specific commutation polynomia…