Bartels–Stewart algorithm

The Bartels–Stewart algorithm is a numerical method used for solving the matrix equation of the form: \[ AX + XB = C \] where \(A\), \(B\), and \(C\) are given matrices, and \(X\) is the unknown matrix to be determined. This type of equation is known as a Lyapunov equation when \(B\) is skew-symmetric or a Sylvester equation in general.