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Matrix Canonical Forms

Hold Date
2010-03-19 15:30〜2010-03-19 16:30
Ito Campus, Faculty of Mathematics building, seminar room 6
Object person
Roger A. Horn (University of Utah, Department of Mathematics)

We give examples of a variety of matrix equivalence relations that arise in
practice, and discuss canonical forms corresponding to some of them. We pay
special attention to the Weyr canonical form, an underappreciated alternative
to the Jordan canonical form for similarity that has been successfully applied
to difficult problems involving commutativity. We also discuss recently
discovered canonical forms for *congruence and congruence that have
played a role in solving an outstanding problem in quantum error detection.