报告题目 (Title)：Comparison of the upper bounds for the extreme points of the polytopes of line-stochastic tensors
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14日(周五) 8:30-11:30
报告地点 (Place)：宝山校区F309
邀请人(Inviter)：王卿文 教授
报告摘要：The classical Birkhoff polytope theorem states that the polytope of n-by-n doubly stochastic matrices is generated by the n-by-n permutation matrices. We extend this notion to multi-dimensional arrays (aka hypermatrices or tensors). Studying the polytopes of line- and plane- stochastic tensors, we present some upper bounds for the number of the vertices of the polytopes via various approaches and show comparison of these bounds.