Semialgebraic optimization — M2 ACSYON
Website of Community - M2 ACSYON : Community M2 ACSYON The course is given jointly with Didier Henrion (CNRS LAAS Toulouse) Lecture Notes Lecture I — Equivalence of semialgebraic optimization and positivity (pdf) Lecture II — Certificates of positivity via Semidefinite Programming (pdf) Lecture III — Univariate optimization over intervals, Positivstellensätze (pdf) Lecture IV — Semialgebraic optimization and the moment problem (pdf) Lecture V — Moment and localizing matrices, Flat extensions (pdf) Lecture VI-VII — Lasserre hierarchy and convergence (pdf) References
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