SOC functions and their applications: SOC-convexity and SOC-monotonicity-武汉大学数学与统计学院

报告题目:

SOC functions and their applications: SOC-convexity and SOC-monotonicity

报告人:

Prof. Jein-Shan Chen（National Taiwan Normal University）

报告时间:

报告地点:

数学院二楼报告厅

报告摘要:

We introduce the SOC-convexity and SOC-monotonicity which are natural extensions of traditional convexity and monotonicity. These kinds of SOC-convex and SOC-monotone functions are also parallel to matrix-convex and matrix-monotone functions. We start with studying the SOC-convexity and SOC-monotonicity for some simple functions. Then, we explore characterizations of SOC-convex and SOC-monotone functions.