One quick and dirty approach is to reorder the rows and columns of the matrices by using the scores from the first axis of correspondence analysis. 

Richard

>
>Subject: reordering matrices
>   From: shannon <[log in to unmask]>
>   Date: Wed, 29 Jun 2005 11:18:54 -0500
>     To: [log in to unmask]
>
>Mighty mathematicians we have a question.
>
>We have small matrices of integers that we need to reorder so that the sum
>of the diagonal is maximum.
>
>These matrices are relatively small (say 10x10 max) so we can brute force
>our way by performing every reordering, but would rather not.
>
>Can anyone help we biostatisticians with an algorithm or theorem?
>
>
>Bill
>---
>
>		        Biostatistics Consulting Center
>		http://ilya.wustl.edu/~shannon/bcc_announcement.pdf
>
>
>William D. Shannon, Ph.D.
>
>Associate Professor of Biostatistics in Medicine
>Division of General Medical Sciences and Biostatistics
>
>Washington University School of Medicine
>Campus Box 8005, 660 S. Euclid
>St. Louis, MO   63110
>
>Phone: 314-454-8356
>Fax: 314-454-5113
>e-mail: [log in to unmask]
>web page: http://ilya.wustl.edu/~shannon