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math.OC2018
Computing the volume of the convex hull of the graph of a trilinear monomial using mixed volumes
Emily Speakman, Gennadiy Averkov
Speakman and Lee (2017) gave a formula for the volume of the convex hull of the graph of a trilinear monomial, , over a box in the nonnegative orthant, in terms of the…
math.OC2018
Optimal size of linear matrix inequalities in semidefinite approaches to polynomial optimization
Gennadiy Averkov
The abbreviations LMI and SOS stand for `linear matrix inequality' and `sum of squares', respectively. The cone of SOS polynomials in variables of degree at most $2d…