f08afc | Form all or part of orthogonal $Q$ from $QR$ factorization determined by f08aec, f08bec or f08bfc |

f08agc | Apply orthogonal transformation determined by f08aec, f08bec or f08bfc |

f08ajc | Form all or part of orthogonal $Q$ from $LQ$ factorization determined by f08ahc |

f08akc | Apply orthogonal transformation determined by f08ahc |

f08bhc | Reduces a real upper trapezoidal matrix to upper triangular form |

f08bkc | Apply orthogonal transformation determined by f08bhc |

f08cfc | Form all or part of orthogonal $Q$ from $QL$ factorization determined by f08cec |

f08cgc | Apply orthogonal transformation determined by f08cec |

f08cjc | Form all or part of orthogonal $Q$ from $RQ$ factorization determined by f08chc |

f08ckc | Apply orthogonal transformation determined by f08chc |

f08fec | Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form |

f08ffc | Generate orthogonal transformation matrix from reduction to tridiagonal form determined by f08fec |

f08fgc | Apply orthogonal transformation determined by f08fec |

f08gec | Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form, packed storage |

f08gfc | Generate orthogonal transformation matrix from reduction to tridiagonal form determined by f08gec |

f08ggc | Apply orthogonal transformation determined by f08gec |

f08hec | Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form |

f08kec | Orthogonal reduction of real general rectangular matrix to bidiagonal form |

f08kfc | Generate orthogonal transformation matrices from reduction to bidiagonal form determined by f08kec |

f08kgc | Apply orthogonal transformations from reduction to bidiagonal form determined by f08kec |

f08nec | Orthogonal reduction of real general matrix to upper Hessenberg form |

f08nfc | Generate orthogonal transformation matrix from reduction to Hessenberg form determined by f08nec |

f08ngc | Apply orthogonal transformation matrix from reduction to Hessenberg form determined by f08nec |

f08qfc | Reorder Schur factorization of real matrix using orthogonal similarity transformation |

f08vec | Computes orthogonal matrices as processing steps for computing the generalized singular value decomposition of a real matrix pair |

f08vsc | Computes orthogonal matrices as processing steps for computing the generalized singular value decomposition of a complex matrix pair |

f08wec | Orthogonal reduction of a pair of real general matrices to generalized upper Hessenberg form |

f08yfc | Reorders the generalized real Schur decomposition of a real matrix pair using an orthogonal equivalence transformation |

f08ygc | Reorders the generalized real Schur decomposition of a real matrix pair using an orthogonal equivalence transformation, computes the generalized eigenvalues of the reordered pair and, optionally, computes the estimates of reciprocal condition numbers for eigenvalues and eigenspaces |

g04eac | Computes orthogonal polynomials or dummy variables for factor/classification variable |

g05pxc | Generates a random orthogonal matrix |

© The Numerical Algorithms Group Ltd, Oxford UK. 2012