Thread: Finding SVD for a square, symmetric matrix?

Is there any special technique to find the SVD for a square, symmetric, 3x3 matrix?

The only technique I know is to find the eigenvalues and eigenvectors. The singular value decomposition of the square matrix A is the factorisation , where D is the diagonal matrix whose entries are the eigenvalues of A, and P is the orthogonal matrix whose columns are the corresponding normalised eigenvectors.