dc.contributor.advisor Tam, Tin-Yau dc.contributor.author Liu, Jianzhen dc.date.accessioned 2017-07-25T21:01:14Z dc.date.available 2017-07-25T21:01:14Z dc.date.issued 2017-07-25 dc.identifier.uri http://hdl.handle.net/10415/5842 dc.description.abstract We prove that Toeplitz matrices are unitarily similar to complex symmetric matrices. en_US Moreover, two $n\times n$ unitary matrices that uniformly turn all $n\times n$ Toeplitz matrices via similarity to complex symmetric matrices are explicitly given, respectively. When $n\leq 3$, we prove that each complex symmetric matrix is unitarily similar to some Toeplitz matrix, but the statement is false when n > 3. dc.subject Mathematics and Statistics en_US dc.title Toeplitz Matrices are Unitarily Similar to Symmetric Matrices en_US dc.type PhD Dissertation en_US dc.embargo.length en_US dc.embargo.status NOT_EMBARGOED en_US dc.contributor.committee Holmes, Randall dc.contributor.committee Liao, Ming dc.contributor.committee Feng, Ziqin
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