linear matrix equation
 
  
 
  
 
 
 
 
 
 
    
        
        asked 11 years ago  
 
 gundamlh gravatar image  
 
 
 
 
    
        
        updated 11 years ago  
 
 
 
 
 
I want to solve the following equation for a matrix solution X:
 
'A*X*B == C' 
# in general, they are rectangular with dimensions: 
# A m-by-n, B p-by-q, and hence, X n-by-p, C m-by-q
# for simplicity, assume: they are all n-by-n square matrices
 
Are there any tools in SAGE (or Numpy/Scipy, Fortran, ...) for solving equations of this type?
 
Thanks in advance!
 
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Are A, B and C square matrices?
Shashank gravatar imageShashank (
    
        11 years ago
    )
It can be solved by applying tensor product of A and B, and vectorization of X and C, but it is only a direct method, inefficient. I guess there would already be a good numerical toolbox for this problem? Let's assume all matrices square, have you ever come across with a similar problem?
gundamlh gravatar imagegundamlh (
    
        11 years ago
    )
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