F02WDF | $QR$ factorization, possibly followed by SVD |

F02WGF | Computes leading terms in the singular value decomposition of a real general matrix; also computes corresponding left and right singular vectors |

F02WUF | SVD of real upper triangular matrix (Black Box) |

F02XUF | SVD of complex upper triangular matrix (Black Box) |

F08FLF | Computes the reciprocal condition numbers for the eigenvectors of a real symmetric or complex Hermitian matrix or for the left or right singular vectors of a general matrix |

F08KBF | Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors |

F08KDF | Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors (divide-and-conquer) |

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 |

F08KHF | Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors (preconditioned Jacobi) |

F08KJF | Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors (fast Jacobi) |

F08KPF | Computes the singular value decomposition of a complex matrix, optionally computing the left and/or right singular vectors |

F08KRF | Computes the singular value decomposition of a complex matrix, optionally computing the left and/or right singular vectors (divide-and-conquer) |

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 |

F08MDF | Computes the singular value decomposition of a real bidiagonal matrix, optionally computing the singular vectors (divide-and-conquer) |

F08MEF | SVD of real bidiagonal matrix reduced from real general matrix |

F08MSF | SVD of real bidiagonal matrix reduced from complex general matrix |

F08VAF | Computes the generalized singular value decomposition of a real matrix pair |

F08VEF | Computes orthogonal matrices as processing steps for computing the generalized singular value decomposition of a real matrix pair |

F08VNF | Computes the generalized singular value decomposition of a complex matrix pair |

F08VSF | Computes orthogonal matrices as processing steps for computing the generalized singular value decomposition of a complex matrix pair |

F08YEF | Computes the generalized singular value decomposition of a real upper triangular (or trapezoidal) matrix pair |

F08YSF | Computes the generalized singular value decomposition of a complex upper triangular (or trapezoidal) matrix pair |

© The Numerical Algorithms Group Ltd, Oxford UK. 2013