Solve system of matrices

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Aqeel Qureshi
Aqeel Qureshi 2015-12-30
回答： Aqeel Qureshi 2015-12-31
Hello!
M1, M2 and M3, and C1, C2 and C3 are known 2x2 matrices
X and Y also 2x2, are unknown matrices to be determined from following set of equations
M1=X*C1*Y.
M2=X*C2*Y.
M3=X*C3*Y.
How can we solve three systems to determine X?

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Christine Tobler
Christine Tobler 2015-12-31
I don't think this can be solved in general. The matrices X and Y contain 8 scalar unknowns together, but there are 12 scalar equations here (4 from each matrix equation). Do you have any additional knowledge about these systems?
You could take a look at gsvd and qz for some similar-looking decompositions, but I don't think they are what you are looking for.

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Aqeel Qureshi
Aqeel Qureshi 2015-12-31
Thanks Christine!
This matrix representation is part of Network Analyzer calibration routine, brief details of which are mentioned in the attachment.
gsvd and qz doesn't seem to work this out.

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