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dc.contributor.advisorTam, Tin-Yau
dc.contributor.authorLiu, Jianzhen
dc.date.accessioned2017-07-25T21:01:14Z
dc.date.available2017-07-25T21:01:14Z
dc.date.issued2017-07-25
dc.identifier.urihttp://hdl.handle.net/10415/5842
dc.description.abstractWe prove that Toeplitz matrices are unitarily similar to complex symmetric matrices. 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.en_US
dc.subjectMathematics and Statisticsen_US
dc.titleToeplitz Matrices are Unitarily Similar to Symmetric Matricesen_US
dc.typePhD Dissertationen_US
dc.embargo.lengthen_US
dc.embargo.statusNOT_EMBARGOEDen_US
dc.contributor.committeeHolmes, Randall
dc.contributor.committeeLiao, Ming
dc.contributor.committeeFeng, Ziqin


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