solving for multiple matrices

Hi, I have a chain of transformations with multiple unknown (but fixed!)
transforms. What I do know is the end result transformation and some of
the transformations in between, and I know these for multiple frames. So
  from here, I'd like to compute the unknowns. Here it is in more formal
version:

I'd like to find 2 unknown matrices X and Y. I have 4 known matrices A1,
A2, B1 and B2, and also know this:
A1 = X * B1 * Y
A2 = X * B2 * Y

I can compute X from the first equation:
X = A1 * Y^-1 * B1^-1

And substitute it into the second:
A2 = A1 * Y^-1 * B1^-1 * B2 * y

Assigning:
C = A1^-1 * A2
D = B1^-1 * B2

Then it becomes:
C = Y^-1 * D * Y

Now, how do I solve this for Y? This form lookes strangely familiar, but I
cannot figure out what to do from here (wish I knew how to Google this ;).  
Hopefully there's an analytic solution to this. Any ideas?

Thanks,



Andras

------------------------------------------------------------------------------
Come build with us! The BlackBerry® Developer Conference in SF, CA
is the only developer event you need to attend this year. Jumpstart your
developing skills, take BlackBerry mobile applications to market and stay 
ahead of the curve. Join us from November 9-12, 2009. Register now!
http://p.sf.net/sfu/devconf
_______________________________________________
GDAlgorithms-list mailing list
[email protected]
https://lists.sourceforge.net/lists/listinfo/gdalgorithms-list
Archives:
http://sourceforge.net/mailarchive/forum.php?forum_name=gdalgorithms-list