Events

Linear Algebra Seminar

Time: Apr 18, 2017 (04:00 PM)
Location: Parker Hall 246

Details:
Speaker: Huajun Huang

Title: Majorization, CMJD, and Kostant's pre-order

Abstract: Many majorization relations in matrix theory can be reinterpreted in terms of Kostant's pre-order on real semisimple Lie groups.  We introduce Kostant's pre-order and discuss some corresponding results in matrix theory and Lie theory. These involve the relations of singular values, eigenvalues, a-components, and the diagonal of a matrix, and some famous matrix inequalities.