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matrix equation
*To*: mathgroup at smc.vnet.net
*Subject*: [mg109590] matrix equation
*From*: "Conlon, Paul" <Paul.Conlon at xerox.com>
*Date*: Fri, 7 May 2010 06:28:48 -0400 (EDT)
Hi & thanks.
Here is my problem:
Similarity matrix equation: A . B == == B . C
If I have A and C, how do I determine B? I've looked at Solve and
eigenvalues, etc. and have limited success with Solve (can accurately
get a several of the matrix element, but not all. Eg seems I can get
sort of parametric response when I put in B where I have the elements
....{{m11, m12, ...}, {m21, m22,....}, ...} ).
Surely there is a solution because I can create A,B,C that work. But
sometimes I get elements that are the trivial solution (zeroes). Also,
this is for a real world app, so the elements are real. I looked at
Solve, SolveAlways, FindInstance and the other recommended fns. If it is
parametric, interesting, but since I get some correct values from
real-world (vs real - ha) matrices I am dealing with that seems less
likely.
Thanks.
Paul
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