Hi,

I have a matrix : $W=I+U^TV$ 

- $dim(W)=(D,D)$ 
- $dim(U)=dim(V)=(N,D)$ with $N < < D$ 

I need it to be orthogonal ie $W^TW=I$

which gives me : $V^TU+U^T+V^TUU^TV=0$ 

From that point, i don't know where to go. Have anyone got some ideas about that issue ?

Cheers

Guillaume