新聞標題： ( 2018-05-16 )
演講主題：A Preliminary Understanding of Optimization: From Linear Programming to Variational Inequalities
主講人：Xiaoming Yuan教授 (香港大學)
演講日期：2018年5月22日(星期二) 13:20 –14:10
摘要內容：Abstract. Optimization is science of making the best decision; or mathematically how to minimize a function subject to some given constraints which are also represented by function equations or inequalities. It plays a core role in various disciplines varying from economics, statistics, computer science, electronic engineering to scientific computing. In big-data era, Optimization is particularly important to offer faster algorithms to tackle mathematical models with huge datasets. In this talk, I will present some of my own understandings of Optimization, starting from the standard linear programming to integer programming, then a geometric understanding of the essence of KKT condition for nonlinear programming and a benchmark algorithm for a class of nonlinear programming models; and finally some essences of the variational inequalities and complementarity problems. Particularly, I will mention some interesting applications of different models in economics and image processing. This talk will be at introductory level and can be easily understood by undergraduates.