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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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