Title: On Solving Fractional SOS Convex Moment Problems
Reporter: Gue Myung Lee
Institution: Pukyong National University, South Korea
Time: May 27, 2025, 14:00-15:00
Location: Tianyuan Seminar Room 4, 3rd Floor, Mathematics Building
Abstract:
Recently, many authors have studied fractional optimization problems and moment problems. The moment problems have been well known and very useful for many real-world applications. In this talk, we consider a fractional moment problem involving SOS-convex polynomials and derive a linear semidefinite optimization problem by utilizing the Lagrangian dual of the fractional moment problem. We demonstrate that the solutions of the fractional moment problem can be obtained from those of the linear semidefinite optimization problem.
Introduction of the Reporter:
Gue Myung Lee is a Professor Emeritus in the Department of Applied Mathematics at Pukyong National University, South Korea, and a Visiting Researcher at the Institute for Basic Science. He has been a visiting scholar in numerous countries, including Japan, China, Vietnam, the United States, Australia, India, and Thailand. His long-term research focuses on variational analysis, multi-objective optimization, polynomial optimization, nonsmooth optimization, and convex optimization, where he has achieved a series of landmark results. He has published over 200 papers in prestigious journals such as Mathematical Programming and SIAM Journal on Optimization, and authored one academic monograph. He has also received the Best Paper Award from the Korean Mathematical Society.
