F04 Chapter Introduction

RoutineName |
Mark ofIntroduction |
Purpose |

F04AAF Example Text Example Data |
2 | Solution of real simultaneous linear equations with multiple right-hand sides (Black Box) This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details. |

F04ABF Example Text Example Data |
2 | Solution of real symmetric positive-definite simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box) |

F04ACF Example Text Example Data |
2 | Solution of real symmetric positive-definite banded simultaneous linear equations with multiple right-hand sides (Black Box)
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details. |

F04ADF Example Text Example Data |
2 | Solution of complex simultaneous linear equations with multiple right-hand sides (Black Box) This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details. |

F04AEF Example Text Example Data |
2 | Solution of real simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box) |

F04AFF Example Text Example Data |
2 | Solution of real symmetric positive-definite simultaneous linear equations using iterative refinement (coefficient matrix already factorized by F03AEF) |

F04AGF Example Text Example Data |
2 | Solution of real symmetric positive-definite simultaneous linear equations (coefficient matrix already factorized by F03AEF) |

F04AHF Example Text Example Data |
2 | Solution of real simultaneous linear equations using iterative refinement (coefficient matrix already factorized by F03AFF) |

F04AJF Example Text Example Data |
2 | Solution of real simultaneous linear equations (coefficient matrix already factorized by F03AFF) |

F04AMF Example Text Example Data |
2 | Least-squares solution of m real equations in n unknowns, rank =n, m≥n using iterative refinement (Black Box) |

F04ARF Example Text Example Data |
4 | Solution of real simultaneous linear equations, one right-hand side (Black Box) This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details. |

F04ASF Example Text Example Data |
4 | Solution of real symmetric positive-definite simultaneous linear equations, one right-hand side using iterative refinement (Black Box) |

F04ATF Example Text Example Data |
4 | Solution of real simultaneous linear equations, one right-hand side using iterative refinement (Black Box) |

F04AXF Example Text Example Data |
7 | Solution of real sparse simultaneous linear equations (coefficient matrix already factorized) |

F04BAF Example Text Example Data |
21 | Computes the solution and error-bound to a real system of linear equations |

F04BBF Example Text Example Data |
21 | Computes the solution and error-bound to a real banded system of linear equations |

F04BCF Example Text Example Data |
21 | Computes the solution and error-bound to a real tridiagonal system of linear equations |

F04BDF Example Text Example Data |
21 | Computes the solution and error-bound to a real symmetric positive-definite system of linear equations |

F04BEF Example Text Example Data |
21 | Computes the solution and error-bound to a real symmetric positive-definite system of linear equations (stored in packed format) |

F04BFF Example Text Example Data |
21 | Computes the solution and error-bound to a real symmetric positive-definite banded system of linear equations |

F04BGF Example Text Example Data |
21 | Computes the solution and error-bound to a real symmetric positive-definite tridiagonal system of linear equations |

F04BHF Example Text Example Data |
21 | Computes the solution and error-bound to a real symmetric system of linear equations |

F04BJF Example Text Example Data |
21 | Computes the solution and error-bound to a real symmetric system of linear equations (stored in packed format) |

F04CAF Example Text Example Data |
21 | Computes the solution and error-bound to a complex system of linear equations |

F04CBF Example Text Example Data |
21 | Computes the solution and error-bound to a complex banded system of linear equations |

F04CCF Example Text Example Data |
21 | Computes the solution and error-bound to a complex tridiagonal system of linear equations |

F04CDF Example Text Example Data |
21 | Computes the solution and error-bound to a complex Hermitian positive-definite system of linear equations |

F04CEF Example Text Example Data |
21 | Computes the solution and error-bound to a complex Hermitian positive-definite system of linear equations (stored in packed format) |

F04CFF Example Text Example Data |
21 | Computes the solution and error-bound to a complex Hermitian positive-definite banded system of linear equations |

F04CGF Example Text Example Data |
21 | Computes the solution and error-bound to a complex Hermitian positive-definite tridiagonal system of linear equations |

F04CHF Example Text Example Data |
21 | Computes the solution and error-bound to a complex Hermitian system of linear equations |

F04CJF Example Text Example Data |
21 | Computes the solution and error-bound to a complex Hermitian system of linear equations (stored in packed format) |

F04DHF Example Text Example Data |
21 | Computes the solution and error-bound to a complex symmetric system of linear equations |

F04DJF Example Text Example Data |
21 | Computes the solution and error-bound to a complex symmetric system of linear equations (stored in packed format). |

F04EAF Example Text Example Data |
11 | Solution of real tridiagonal simultaneous linear equations, one right-hand side (Black Box) This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details. |

F04FAF Example Text Example Data |
11 | Solution of real symmetric positive-definite tridiagonal simultaneous linear equations, one right-hand side (Black Box) This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details. |

F04FEF Example Text Example Data |
15 | Solution of the Yule–Walker equations for real symmetric positive-definite Toeplitz matrix, one right-hand side |

F04FFF Example Text Example Data |
15 | Solution of real symmetric positive-definite Toeplitz system, one right-hand side |

F04JAF Example Text Example Data |
8 | Minimal least-squares solution of m real equations in n unknowns, rank ≤n, m≥n This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details. |

F04JDF Example Text Example Data |
8 | Minimal least-squares solution of m real equations in n unknowns, rank ≤m, m≤n This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details. |

F04JGF Example Text Example Data |
8 | Least-squares (if rank =n) or minimal least-squares (if rank <n) solution of m real equations in n unknowns, rank ≤n, m≥n |

F04JLF Example Text Example Data |
17 | Real general Gauss–Markov linear model (including weighted least-squares) This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details. |

F04JMF Example Text Example Data |
17 | Equality-constrained real linear least-squares problem This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details. |

F04KLF Example Text Example Data |
17 | Complex general Gauss–Markov linear model (including weighted least-squares) This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details. |

F04KMF Example Text Example Data |
17 | Equality-constrained complex linear least-squares problem This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details. |

F04LEF Example Text Example Data |
11 | Solution of real tridiagonal simultaneous linear equations (coefficient matrix already factorized by F01LEF) |

F04LHF Example Text Example Data |
13 | Solution of real almost block diagonal simultaneous linear equations (coefficient matrix already factorized by F01LHF) |

F04MCF Example Text Example Data |
8 | Solution of real symmetric positive-definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized by F01MCF) |

F04MEF Example Text Example Data |
15 | Update solution of the Yule–Walker equations for real symmetric positive-definite Toeplitz matrix |

F04MFF Example Text Example Data |
15 | Update solution of real symmetric positive-definite Toeplitz system |

F04QAF Example Text |
11 | Sparse linear least-squares problem, m real equations in n unknowns |

F04YAF Example Text Example Data |
11 | Covariance matrix for linear least-squares problems, m real equations in n unknowns |

F04YCF Example Text Example Data |
13 | Norm estimation (for use in condition estimation), real matrix |

F04ZCF Example Text Example Data |
13 | Norm estimation (for use in condition estimation), complex matrix |

© The Numerical Algorithms Group Ltd, Oxford, UK. 2004