| F01BVF | Reduction to standard form, generalized real symmetric-definite banded eigenproblem |
| F08FEF | Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form |
| F08FFF | Generate orthogonal transformation matrix from reduction to tridiagonal form determined by F08FEF |
| F08FSF | Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form |
| F08FTF | Generate unitary transformation matrix from reduction to tridiagonal form determined by F08FSF |
| F08GEF | Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form, packed storage |
| F08GFF | Generate orthogonal transformation matrix from reduction to tridiagonal form determined by F08GEF |
| F08GSF | Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form, packed storage |
| F08GTF | Generate unitary transformation matrix from reduction to tridiagonal form determined by F08GSF |
| F08HEF | Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form |
| F08HSF | Unitary reduction of complex Hermitian band matrix to real symmetric tridiagonal form |
| 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 |
| F08LEF | Reduction of real rectangular band matrix to upper bidiagonal form |
| F08LSF | Reduction of complex rectangular band matrix to upper bidiagonal form |
| 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 |
| F08SEF | Reduction to standard form of real symmetric-definite generalized eigenproblem Ax=λBx, ABx=λx or BAx=λx, B factorized by F07FDF |
| F08SSF | Reduction to standard form of complex Hermitian-definite generalized eigenproblem Ax=λBx, ABx=λx or BAx=λx, B factorized by F07FRF |
| F08TEF | Reduction to standard form of real symmetric-definite generalized eigenproblem Ax=λBx, ABx=λx or BAx=λx, packed storage, B factorized by F07GDF |
| F08TSF | Reduction to standard form of complex Hermitian-definite generalized eigenproblem Ax=λBx, ABx=λx or BAx=λx, packed storage, B factorized by F07GRF |
| F08UEF | Reduction of real symmetric-definite banded generalized eigenproblem Ax=λBx to standard form Cy=λy, such that C has the same bandwidth as A |
| F08USF | Reduction of complex Hermitian-definite banded generalized eigenproblem Ax=λBx to standard form Cy=λ y, such that C has the same bandwidth as A |
| 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 |