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讲座:Some Inequalities Involving Majorization and Traces in Euclidean Jordan Algebras

时间:2022-08-01浏览:64来源:新闻网作者:摄影:

讲座题目:Some Inequalities Involving Majorization and Traces in Euclidean Jordan Algebras

主讲人:Jiyuan Tao

主讲人简介:Jiyuan Tao,博士,美国马里兰洛约拉大学(Loyola University Maryland)数学与统计系教授。毕业于美国马里兰大学, 巴尔的摩(University of MarylandBaltimore County)应用数学专业。主要研究兴趣:应用分析、有限维优化和欧几里德若当代数。研究成果发表在Mathematical Programming, Mathematics of Operations Research(最优化领域的顶尖杂志),Optimization Methods and Software, Journal of Optimization Theory and Applications, Journal of Global Optimization, Linear and Multilinear AlgebraLinear Algebra and its Applications等国际权威杂志。

讲座时间:2022年8519:00-20:00

讲座地点:腾讯会议(会议号:381189972

主办单位:数理与统计学院

协办单位:统计与数据计算系

讲座内容简介:In the past two decades, the symmetric cone programming which includes linear programming, second order cone programming, and semidefinite programming has been a hot topic in the optimization society. Since the symmetric cone arises from the Euclidean Jordan algebra, studying Euclidean Jordan algebra has attracted many researchers. Recently, some researchers have extended the properties

of the real symmetric matrices and the complex Hermitian matrices to the setting of Euclidean Jordan algebras. In this talk, we present some generalizations of some famous inequalities in matrix theory such as Thompson inequality and Araki-Lieb-Thiring inequality to the Euclidean Jordan algebras.


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