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5 papers · 2 filters
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…
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…
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…
Products of Ordinary Differential Operators by Evaluation and Interpolation
Alin Bostan, Frédéric Chyzak, Nicolas Le Roux
It is known that multiplication of linear differential operators over ground fields of characteristic zero can be reduced to a constant number of matrix products. We give a new alg…
Compressed Modular Matrix Multiplication
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy
We propose to store several integers modulo a small prime into a single machine word. Modular addition is performed by addition and possibly subtraction of a word containing severa…