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Re: Solving complicated matrix equations

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  • Subject: [mg132046] Re: Solving complicated matrix equations
  • From: Roland Franzius <roland.franzius at uos.de>
  • Date: Mon, 25 Nov 2013 03:03:24 -0500 (EST)
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Am 23.11.2013 08:49, schrieb dsmirnov90 at gmail.com:
> Hi!
>
> I have to solve analytically an equation like this:
>
> M*m1 = M.v - u.M,
>
> where m1, v, u are the given matrices and M should be found. Is there any standard function in Mathematica to do this?

Its very unusual that a normal *-product of matrices occurs in 
multilinear equations and the more if an analytical solution is sought 
for.

The element by element product M*m1=m1*M has no coordinate invariant 
meaning and no invariant relation to M since it is a map by projections 
on coordinate pairs with a different scaling factor in each pair.

So it will make sense only if m1 is a special tensor product of vectors 
respecting a coherent symmetric product structure of the scaling factors 
m1_ik =s_i * s_k as far as I can see.

-- 

Roland Franzius



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