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math.AG2022★ 1 cited
Semi-algebraic description of the closure of the image of a semi-algebraic set under a polynomial
Ngoc Hoang Anh Mai
Given a polynomial and a semi-algebraic set , we provide a symbolic algorithm to find the equations and inequalities defining a semi-algebraic set which is identical to…
math.AG2020★ 2 cited
A sparse version of Reznick's Positivstellensatz
Ngoc Hoang Anh Mai, Victor Magron, Jean-Bernard Lasserre
If is a positive definite form, Reznick's Positivstellensatz [Mathematische Zeitschrift. 220 (1995), pp. 75--97] states that there exists such that ${\| x \|^{…