Gaussian elimination with back substitution (this is a demonstration routine which does not incorporate any pivoting strategies) | |

determine an LU decomposition for a given matrix (performs partial pivoting) | |

companion routine to LUfactor given an LU decomposition and a right-hand side vector, performs forward and backward substitution to determine the solution to the linear system | |

solve a system of linear equations which has a tridiagonal coefficient matrix | |

perform Jacobi method iterations | |

perform Gauss-Seidel iterations | |

perform SOR iterations | |

conjugate gradient method | |

Newton's method for a system of equations | |

Broyden's method for a system of equations |