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南京理工大学杨在教授学术报告

来源: 点击: 时间: 2018年01月02日 10:51

 

题目:New Rank Inequalities for Hadamard Product, with an Application

报告人:杨在(南京理工大学)

时间:2018年1月3日, 上午10:30

地点:民主楼210

摘要:Hadamard product of matrices is fundamental in matrix analysis. Its study dates back to the early 20thcentury due to the mathematician Jacques Hadamard. The most well-known and maybe also most important result is Schur product theorem, stating that the Hadamard product of positive (semi)definite matrices remains to be positive (semi)definite. In this talk, we will revisit the developments of Schur’s theorem in the past century. We provide two new rank inequalities for Hadamard product, giving sufficient conditions under which the Hadamard product of positive semidefinite matrices is positive definite. Finally, we apply the new results and provide an answer to a central question in array processing as to how many antennas are needed to practically estimate the directions of a number of targets, which substantially improves over existing results.

个人简介:杨在,南京理工大学自动化学院教授,博士生导师。2007年和2009年分获中山大学数学系学士和硕士学位。2014年获新加坡南洋理工大学电气电子工程学院博士学位,后继续从事博士后研究。2015年12月起任教于南京理工大学。主要研究压缩感知和数学优化的理论、方法以及在信息与信号处理、机器学习等领域中的应用。在国际信息与信号处理领域顶级期刊IEEE Trans. Information Theory和IEEE Trans. Signal Processing发表十篇学术论文。现任SCI源期刊Signal Processing (Elsevier)编委。


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