powers of Antisymmetric Signed binary Matrices

Meeussen Wouter (bkarnd) wouter.meeussen at vandemoortele.com
Mon Aug 25 18:19:17 CEST 2003


Thanks Edwin,

exactly the critical feedback I hoped for.

bonus:
just a bit extra work to isolate the cases with
*true* zero diagonals, and I got them both ways.

maybe analogous for zero trace.

to what nXn did you get?
can you communicate your results so far?

W.



-----Original Message-----
From: Edwin Clark [mailto:eclark at math.usf.edu]
Sent: maandag 25 augustus 2003 18:05
To: wouter meeussen
Cc: Seqfan (E-mail)
Subject: Re: powers of Antisymmetric Signed binary Matrices

Wouter:

I was getting different numbers, but then I finally noticed that in your
definition of antisymmetric you allow arbitrary diagonal elements. Perhaps
you should call your matrices quasi-antisymmetric or something like
that?

The usual definition of antisymmetric is Tij = -Tji for all i,j. This
means that the diagonal elements should be 0. What you have is of the form
D + T where D is diagonal and T is antisymmetric.

Edwin



------------------------------------------------------------
    W. Edwin Clark, Math Dept, University of South Florida,
           http://www.math.usf.edu/~eclark/
------------------------------------------------------------


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