报告题目 (Title):Eigenvalue and Singular Value Inequalities via Min-max Principles.(最小-最大原则下的特征值和奇异值不等式)
报告人 (Speaker): 张福振 教授(美国佛罗里达诺瓦东南大学)
报告时间 (Time):2023年7月15日(周五) 8:00-11:00
报告地点 (Place):校本部F309
邀请人(Inviter):王卿文 教授
主办部门:理学院数学系
报告摘要:Given two square matrices of the same order, we consider the eigenvalues and singular values of the sum and product of the matrices. For example, what can be said about the sum of the largest and smallest eigenvalues of the product of two positive semidefinite matrices? This talk reviews some eigenvalue and singular value inequalities recently obtained via minimax principles. In particular, we present singular value inequalities of log-majorization type.