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