Events
Algebra/Linear Algebra Seminar |
| Time: Mar 01, 2016 (04:00 PM) |
| Location: Parker Hall 244 |
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Details: Jianzhen (Jason) Liu Title: Every Toeplitz matrix is unitarily similar to a complex symmetric matrix Abstract: We prove that Toeplitz matrices are unitarily similar to symmetric matrices. Moreover, an \(n\times n\) unitary matrix that uniformly turns all \(n\times n\) Toeplitz matrices via similarity to complex symmetric matrices is explicitly given. When \(n\leq 3\), we prove that each complex symmetric matrix is unitarily similar to a Toeplitz matrix. |