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比利时vs摩洛哥足彩 ,
university of california san diego

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math 278c: optimization and data science

prof. lei huang

finite convergence of the matrix moment-sos hierarchy

abstract:

this talk discusses the matrix moment-sos hierarchy for solving polynomial matrix optimization problems. we first establish the finite convergence of this hierarchy under the archimedean property, provided the nondegeneracy condition, strict complementarity condition, and second-order sufficient condition hold at every minimizer. furthermore, we also prove that every minimizer of the moment relaxation must exhibit a flat truncation when the relaxation order is sufficiently large.

host: jiawang nie

january 29, 2025

4:00 pm

zoom - meeting id: 941 4642 0185 / password: 278c2025

research areas

optimization

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