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, A^{T} or A^{H} (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 quasitriangular

matrices A and B must be upper quasitriangular, 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


