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