853 citations
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Showing 2018 · cs.SCShow all
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cs.SC2018★ 1 cited
On Exact Reznick, Hilbert-Artin and Putinar's Representations
Victor Magron, Mohab Safey El Din
We consider the problem of computing exact sums of squares (SOS) decompositions for certain classes of non-negative multivariate polynomials, relying on semidefinite programming (S…
cs.SC2018★ 5 cited
Bilinear systems with two supports: Koszul resultant matrices, eigenvalues, and eigenvectors
Matías Bender, Jean-Charles Faugère, Angelos Mantzaflaris +1
A fundamental problem in computational algebraic geometry is the computation of the resultant. A central question is when and how to compute it as the determinant of a matrix. whos…