| F06QRF | QR or RQ factorization by sequence of plane rotations, real upper Hessenberg matrix |
| F06QVF | Compute upper Hessenberg matrix by sequence of plane rotations, real upper triangular matrix |
| F06RMF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real Hessenberg matrix |
| F06TRF | QR or RQ factorization by sequence of plane rotations, complex upper Hessenberg matrix |
| F06TVF | Compute upper Hessenberg matrix by sequence of plane rotations, complex upper triangular matrix |
| F06UMF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex Hessenberg matrix |
| F08NEF | Orthogonal reduction of real general matrix to upper Hessenberg form |
| F08NFF | Generate orthogonal transformation matrix from reduction to Hessenberg form determined by F08NEF |
| F08NGF | Apply orthogonal transformation matrix from reduction to Hessenberg form determined by F08NEF |
| F08NSF | Unitary reduction of complex general matrix to upper Hessenberg form |
| F08NTF | Generate unitary transformation matrix from reduction to Hessenberg form determined by F08NSF |
| F08NUF | Apply unitary transformation matrix from reduction to Hessenberg form determined by F08NSF |
| F08PEF | Eigenvalues and Schur factorization of real upper Hessenberg matrix reduced from real general matrix |
| F08PKF | Selected right and/or left eigenvectors of real upper Hessenberg matrix by inverse iteration |
| F08PSF | Eigenvalues and Schur factorization of complex upper Hessenberg matrix reduced from complex general matrix |
| F08PXF | Selected right and/or left eigenvectors of complex upper Hessenberg matrix by inverse iteration |
| F08WEF | Orthogonal reduction of a pair of real general matrices to generalized upper Hessenberg form |
| F08WSF | Unitary reduction of a pair of complex general matrices to generalized upper Hessenberg form |
| F08XEF | Eigenvalues and generalized Schur factorization of real generalized upper Hessenberg form reduced from a pair of real general matrices |
| F08XSF | Eigenvalues and generalized Schur factorization of complex generalized upper Hessenberg form reduced from a pair of complex general matrices |