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Standard/Generalized Standard Sylvester matrix equation Generalized Sylvester matrix equation
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Equation op(A)*X ± X*op(B) = αC. A*R − L*B = αC
D*R − L*E = αF
Description op(A) = A, AT or AH (for A with complex entries); α is an output scale factor R and L are unknown m×n matrices; α is an output scale factor
Requirements for real matrices matrices A and B must be upper quasi-triangular
matrices A and B must be upper quasi-triangular, and matrices D and E must be upper triangular
Requirements for complex matrices matrices A and B must be upper triangular matrices A, B, D, and E must be upper triangular
Complex numbers
Precision