Let's say a zero-diagonal $4\times4$ symmetric matrix, $$ \begin{bmatrix} 0 & 1 & 3 & 3 \\ 1 & 0 & 3 & 3 \\ 3 & 3 & 0 & 1 \\ 3 & 3 & 1 & 0 \end{bmatrix} $$
Does anyone know how to obtain SVD from the above matrix mathematically? as $A = U W V^*$ Note: eigenvectors of $A^*A$ will make up $V$ with associate eigenvalues of the diagonal of $W^*W$. Similarly, $D^*D = U^*(WW^*)U$
Thank you very much!