sylv — solution of Sylvester Equation

$\begin{rail} Sylv : 'sylv' '(' ( Matrix ( () \vert ',' Matrix) ',' Matrix ) ')' ; \end{rail}$
sylv is a Sylvester equation solver. Given the first matrix argument is A, the second matrix argument is B, and the third matrix argument is C, sylv solves

Ax + xB = - C

for x. If there are only two arguments, it is assumed B = A^T, and the Lyapunov equation is solved. The matrix arguments must both be upper triangular. If they are not, the lyap function implements a wrapper over this function that performs suitable Schur decomposition.

Subsections

- - Example