| F02WDF | QR factorization, possibly followed by SVD |
| F02WEF | SVD of real matrix (Black Box) |
| F02WUF | SVD of real upper triangular matrix (Black Box) |
| F02XEF | SVD of complex matrix (Black Box) |
| F02XUF | SVD of complex upper triangular matrix (Black Box) |
| F08KEF | Orthogonal reduction of real general rectangular matrix to bidiagonal form |
| F08KFF | Generate orthogonal transformation matrices from reduction to bidiagonal form determined by F08KEF |
| F08KGF | Apply orthogonal transformations from reduction to bidiagonal form determined by F08KEF |
| F08KSF | Unitary reduction of complex general rectangular matrix to bidiagonal form |
| F08KTF | Generate unitary transformation matrices from reduction to bidiagonal form determined by F08KSF |
| F08KUF | Apply unitary transformations from reduction to bidiagonal form determined by F08KSF |
| F08MEF | SVD of real bidiagonal matrix reduced from real general matrix |
| F08MSF | SVD of real bidiagonal matrix reduced from complex general matrix |