124 citations · 361 across the 23 of their papers we have counts for
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math.OC2009★ 4 cited
Positive Polynomials and Projections of Spectrahedra
João Gouveia, Tim Netzer
This work is concerned with different aspects of spectrahedra and their projections, sets that are important in semidefinite optimization. We prove results on the limitations of so…
math.OC2009★ 19 cited
A new semidefinite programming hierarchy for cycles in binary matroids and cuts in graphs
João Gouveia, Monique Laurent, Pablo A. Parrilo +1
The theta bodies of a polynomial ideal are a series of semidefinite programming relaxations of the convex hull of the real variety of the ideal. In this paper we construct the thet…