116 citations · 258 across the 22 of their papers we have counts for
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math.AG2017★ 5 cited
On the exactness of Lasserre relaxations and pure states over real closed fields
Tom-Lukas Kriel, Markus Schweighofer
Consider a finite system of non-strict polynomial inequalities with solution set . Its Lasserre relaxation of degree is a certain natural linear matrix i…
cs.SC2017
Algorithms for Weighted Sums of Squares Decomposition of Non-negative Univariate Polynomials
Victor Magron, Mohab Safey El Din, Markus Schweighofer
It is well-known that every non-negative univariate real polynomial can be written as the sum of two polynomial squares with real coefficients. When one allows a weighted sum of fi…
math.AG2017
On the exactness of Lasserre relaxations for compact convex basic closed semialgebraic sets
Markus Schweighofer, Tom-Lukas Kriel
Consider a finite system of non-strict real polynomial inequalities and suppose its solution set is convex, has nonempty interior and is compact. Suppose th…