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September 12th, 2012, 12:30 PM   #1
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Inverse Matrix problem

Hello,
To explain my problem, I will begin with direct problem :
We suppose to calculate a product of n matrix like :
  • For direct problem ( it does not concern me)we don't know the elements of the matrix T, and we know
  • For inverse problem we know the elements of the matrix T related to every and we know also ; but we don't know
This is my problem, I want to know if we can solve it analytically (and we get ) or if there is a dedicated algorithm to solve this kind of nonlinear inverse problems

thanks
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September 13th, 2012, 06:08 AM   #2
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Re: Inverse Matrix problem

Hey soft001.

Does this problem only involve 2x2 matrices? If so, the best suggestion is to see if you can get a form for individual elements of your final matrix since the inverse for a 2x2 matrix is extremely straight-forward.

I was going to say if these were rotation or special unitary that you could simply compose rotations to get a formula for the final rotation matrix in terms of a polar decomposition but I don't think this will hold in general.
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