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From: "John D'Errico" <woodchips@rochester.rr.com>
Newsgroups: comp.soft-sys.matlab
Subject: Re: Solving AM = MB
Date: Sat, 22 Nov 2008 21:18:02 +0000 (UTC)
Organization: John D'Errico (1-3LEW5R)
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"Pinpress" <nothing@nothing.edu> wrote in message <gg9qui$9si$1@fred.mathworks.com>...
> I see -- sorry I overlooked.
> 
> So here is my real problem to solve:
> 
> I have many equations like:
> 
> X*A1 = B1*X;
> X*A2 = B2*X;
>  etc.
> 
> And I know X is orthogonal, because it is a rigid transformation matrix. How do I construct or recover a sensible X from these equations? Thanks for any input.
> 

You can stack many of these on top of each other, solving
for one overall matrix. 

But you cannot build in the requirement of orthogonality into
a linear least squares solution.

John