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 |

© The Numerical Algorithms Group Ltd, Oxford UK. 2013