114 citations · 264 across the 42 of their papers we have counts for
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math.AG2011
Moment Matrices, Border Bases and Real Radical Computation
Jean-Bernard Lasserre, Monique Laurent, Bernard Mourrain +2
In this paper, we describe new methods to compute the radical (resp. real radical) of an ideal, assuming it complex (resp. real) variety is finite. The aim is to combine approaches…
math.AG2008★ 1 cited
A prolongation-projection algorithm for computing the finite real variety of an ideal
J. B. Lasserre, M. Laurent, P. Rostalski
We provide a real algebraic symbolic-numeric algorithm for computing the real variety of an ideal , assuming it is finite while may not be. Our approach uses s…
math.AG2006★ 114 cited
Semidefinite Characterization and Computation of Real Radical Ideals
J. B. Lasserre, M. Laurent, P. Rostalski
For an ideal given by a set of generators, a new semidefinite characterization of its real radical is presented, provided it is zero-…