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Sino-Russian Mathematics Center-JLU Colloquium (2025-015)—On solving fractional SOS convex moment problems

发表于: 2025-05-26   点击: 

报告题目:On solving fractional SOS convex moment problems

报告人:Gue Myung Lee

所在单位: 韩国釜庆大学

报告时间:2025年5月27日 14:00-15:00

报告地点:数学楼三楼天元研讨室四


报告摘要:Recently, many authors have studied fractional optimization problems and moment problems. The moment problems have been well known and very useful for many real problems. In this talk, we consider a fractional moment problem involving SOS convex polynomials, and obtain a linear semidefinite optimization problem by using the Lagrangian dual problem of the fractional moment problem. We show that we can obtain the solutions of the fractional moment problem from the ones of the linear semidefinite optimization problem.


报告人简介:Gue Myung Lee,韩国釜庆大学应用数学专业荣休教授,基础科学研究所客座研究员。曾先后多次在日本、中国、越南、美国、澳大利亚、印度、泰国等国家作访问学者。长期从事变分分析、多目标优化、多项式优化、非光滑优化、凸优化等研究工作,取得了一系列标志性的研究成果,在Mathematical Programmng、SIAM Journal on Optimization等学术期刊论文200余篇,并出版学术专著1部,曾获韩国数学会最佳论文奖等。