| F02WDF
| factorization, possibly followed by SVD |
| F06QPF
| factorization by sequence of plane rotations, rank-1 update of real upper triangular matrix |
| F06QQF
| factorization by sequence of plane rotations, real upper triangular matrix augmented by a full row |
| F06QRF
| or factorization by sequence of plane rotations, real upper Hessenberg matrix |
| F06QSF
| or factorization by sequence of plane rotations, real upper spiked matrix |
| F06QTF
| factorization of or factorization of , real upper triangular, a sequence of plane rotations |
| F06TPF
| factorization by sequence of plane rotations, rank-1 update of complex upper triangular matrix |
| F06TRF
| or factorization by sequence of plane rotations, complex upper Hessenberg matrix |
| F06TSF
| or factorization by sequence of plane rotations, complex upper spiked matrix |
| F06TTF
| factorization of or factorization of , complex upper triangular, a sequence of plane rotations |
| F08AEF
| factorization of real general rectangular matrix |
| F08AFF
| Form all or part of orthogonal from factorization determined by F08AEF, F08BEF or F08BFF |
| F08AGF
| Apply orthogonal transformation determined by F08AEF, F08BEF or F08BFF |
| F08ASF
| factorization of complex general rectangular matrix |
| F08ATF
| Form all or part of unitary from factorization determined by F08ASF, F08BSF or F08BTF |
| F08AUF
| Apply unitary transformation determined by F08ASF, F08BSF or F08BTF |
| F08BEF
| factorization of real general rectangular matrix with column pivoting |
| F08BFF
| factorization of real general rectangular matrix with column pivoting, using BLAS-3 |
| F08BSF
| factorization of complex general rectangular matrix with column pivoting |
| F08BTF
| factorization of complex general rectangular matrix with column pivoting, using BLAS-3 |
| F08JEF
| All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from real symmetric matrix using the implicit or algorithm |
| F08JFF
| All eigenvalues of real symmetric tridiagonal matrix, root-free variant of the or algorithm |
| F08JSF
| All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from complex Hermitian matrix, using the implicit or algorithm |
| F08ZEF
| Computes a generalized factorization of a real matrix pair |
| F08ZSF
| Computes a generalized factorization of a complex matrix pair |