报告人: Jiyuan Tao教授 美国马里兰洛约拉大学数学与统计系
报告时间:2024年6月12日 15:30-16:30 报告地点: K2-665
Abstract: In this talk, we present ultra and super SSM-(cone GUS)-properties for linear transformations on Euclidean Jordan algebras. We show that the Jordan quadratic strict semimonotonicity (JQSSM)-property is equivalent to the completely-Q-property for linear transformations on any Euclidean Jordan algebra. Also, we talk about some interconnections between the SSM-property, the Jordan linear SSM (JLSSM)-property, and the completely-Q property on a Euclidean Jordan algebra. Moreover, we present a characterization of the completely-Q property on the Jordan spin algebra and show the completely-Q property for some special transformations on Euclidean Jordan algebras.
Jiyuan Tao received his Ph.D. in Applied Mathematics, University of Maryland, Baltimore County, U.S.A. in 2004. He is a full professor in the Department of Mathematics and Statistics, Loyola University Maryland, U.S.A. He was also awarded “Distinguished Scholar of the Year, Loyola University Maryland (2018)”. Prof. Tao’s research field is in optimization, focusing on complementarity problems over symmetric cones and Euclidean Jordan algebras. He has been published in numerous prestigious peer-reviewed journals (e.g., Mathematical Programming, Mathematical Operations Research, Linear Algebra and its Applications, Linear and Multilinear Algebra). He provided invited talks in various international meetings. In addition, he has been a reviewer for several reputed journals such as Mathematical Programming, SIAM Optimization, Journal of Linear Algebra and its Applications, Journal of Optimization Theory and Applications.
