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Claremont Colleges Analysis Seminar

James Tener
  Pomona College

Monday, December 10
  Davidson Lecture Hall at Claremont McKenna, 4:15 PM

Title: Unitary equivalence to a complex symmetric matrix
Abstract:   It is known that every n by n matrix is similar to a complex symmetric matrix, but if we require unitary equivalence then this claim fails for n > 2.  We will present a test that can almost surely determine whether or not a given matrix is unitarily equivalent to a complex symmetric matrix.  We will also discuss how to extend this test to cover every 3 by 3 matrix.