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math.OC2018
Condition numbers of stochastic mean payoff games and what they say about nonarchimedean semidefinite programming
Xavier Allamigeon, Stéphane Gaubert, Ricardo D. Katz +1
Semidefinite programming can be considered over any real closed field, including fields of Puiseux series equipped with their nonarchimedean valuation. Nonarchimedean semidefinite…
math.AG2018★ 5 cited
The tropical analogue of the Helton-Nie conjecture is true
Xavier Allamigeon, Stéphane Gaubert, Mateusz Skomra
Helton and Nie conjectured that every convex semialgebraic set over the field of real numbers can be written as the projection of a spectrahedron. Recently, Scheiderer disproved th…