COSAM » Events » 2018 » March » DMS Linear Algebra/Algebra Seminar

DMS Linear Algebra/Algebra Seminar
Time: Mar 06, 2018 (04:00 PM)
Location: Parker Hall 352

Speaker: Jason Liu

Title: Toeplitz Matrices, Symmetric Matrices, and Unitary Similarity

Abstract: In this talk, I will present the result that every Toeplitz matrix is uniformly unitarily similar to some complex symmetric matrices via a unitary matrix. Conversely, every symmetric matrix is unitarily similar to some Toeplitz matrix when \(n < 4\).   I will relate this result with the facts of every matrix is a product of some Toeplitz matrices, which was proved by Ye and Lim in 2015, and a super-fast divide-and-conquer method to make the eigenproblem of Toeplitz matrices with nearly linear complexity presented by Vogel et al. in 2016. I will also present that every multilevel Toeplitz matrix is unitarily similar to a symmetric matrix.

Last updated: 03/02/2018