Sylvester equation
= Sylvester equation
{wiki=Sylvester_equation}
The Sylvester equation is a type of linear matrix equation that has the general form: \\\[ AX + XB = C \\\] where: - \\(A\\) and \\(B\\) are given matrices of appropriate dimensions, - \\(X\\) is the unknown matrix to be solved for, and - \\(C\\) is a given matrix.