When

Start: 10/23/2013 - 4:15pm

End : 10/23/2013 - 5:15pm

End : 10/23/2013 - 5:15pm

Category

Colloquium

Speaker

Roger A. Horn, University of Utah

Abstract

Square complex matrices and are *unitarily similar* if there is a

unitary matrix such that (conjugate transpose); they are

*unitarily congruent* if there is a unitary such that .

It is not difficult to determine whether a given pair of matrices is unitarily

similar. In fact, one can do so with finitely many ordinary arithmetic

operations.

However, the situation seems to be quite different for unitary congruence. The

best known result says that two given matrices are unitarily congruent if and

only if three specific pairs of matrices are simultaneously unitarily similar

(that is, the same works for all three pairs).

So...how can we determine whether finitely many pairs of matrices are

simultaneously unitarily similar? What about simultaneous unitary congruence

of finitely many pairs of matrices?

Where

Davidson Lecture Hall, Claremont McKenna College

Attachment | Size |
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Horn.pdf | 127.58 KB |