I would like to solve the following matrix equation, with $Z$ as the unknown matrix,
$$ Z - {}^t Z = c \, \Gamma G Z $$
where the matrices $\Gamma$ and $G$ are both symmetric and invertible and c is a constant.
So I wonder if anyone can tell me if it is possible to solve this equation or if i have to do it component by component, that i'd prefer to avoid.
Thank you