I have a matrix : $W=I+U^TV$
- $dim(U)=dim(V)=(N,D)$ with $N < < D$
I need it to be orthogonal ie $W^TW=I$
which gives me : $V^TU+U^TV+V^TUU^TV=0$
From that point, i don't know where to go. Have anyone got some ideas about that issue ?