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