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Jean B. Lasserre: The moment-sos approach

Abstract:
Amazingly, many problems can be seen as particular instances of the so-called generalized problem of moments (GPM, and Global Optimization is only among such poblems. When the GPM has polynomial data, I will show how to combine

  • results of real algebraic geometry obtained in the nineties, and
  • semidefinite programmig (a powerful technique of convex optimization),
to define a hierarchy of semidefinite programs whose associated monotone sequence of optimal values converges to the optimal value of the GPM.