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报告题目：Lagrange multiplier expressions for matrix polynomial optimization and tight relaxations

报告人：黄磊 博士

报告时间：2026年7月20日16:30-17:30

报告地点：av直播 210会议室

邀请人：曾莉

邀请单位：av直播 av直播

报告摘要：This talk discusses matrix constrained polynomial optimization. We investigate explicit expressions for Lagrange multiplier matrices from the first order optimality conditions. The existence of these expressions can be shown under the nondegeneracy condition. Using Lagrange multiplier matrix expressions, we propose a strengthened Moment-SOS hierarchy for solving matrix polynomial optimization. Under some general assumptions, we show that this strengthened hierarchy has finite convergence. Numerical experiments are provided to show the efficiency of the strengthened hierarchy.

报告人简介：黄磊博士现任香港理工大学博士后。他于2023年获中国科av直播 数学与系统科学研究院博士学位，2018年获武汉大学学士学位。他的研究方向包括多项式优化、凸代数几何与半定规划。相关研究成果发表于 Math. Program.、SIAM J. Optim. 等优化期刊。

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