most citedRepresenting elementary semi-algebraic sets by a few polynomial inequalities: A constructive approach

6 citations · 8 across the 4 of their papers we have counts for

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math.AG2008

Notes on algebra and geometry of polynomial representations

Gennadiy Averkov

Consider a semi-algebraic set A in R^d constructed from the sets which are determined by inequalities p_i(x)>0, p_i(x)\ge 0, or p_i(x)=0 for a given list of polynomials p_1,...,p_m…

math.AG2008★ 6 cited

Representing elementary semi-algebraic sets by a few polynomial inequalities: A constructive approach

Gennadiy Averkov

Let P be an elementary closed semi-algebraic set in R^d, i.e., there exist real polynomials p_1,...,p_s such that P= \{x \in R^d : p_1(x) \ge 0, >..., p_s(x) \ge 0 \}; in this case…