## A Survey of Numerical Mathematics, Volume 2Volume 2 of 2-volume set. Broad self-contained coverage of computer-oriented numerical algorithms for solving various types of mathematical problems in linear algebra, ordinary and partial, differential equations, much more. Includes exercises. |

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### Contents

Stability Convergence and Accuracy | 493 |

Boundary Value and Eigenvalue Problems | 577 |

Vectors Matrices and Norms | 667 |

The Solution of Systems of Linear Algebraic Equations by Direct Methods | 780 |

Solving Systems of Linear Algebraic Equations Using Residue Arithmetic | 836 |

single modulus | 863 |

The Algebraic Eigenvalue Eigenvector Problem | 889 |

Elliptic Boundary Value Problems | 953 |

1terative Methods for Solving Large Linear Systems | 1001 |

1nitialValue Problems | 1075 |

1-1 | |

1-15 | |

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1n other words 1see 2ero assume Chapter coefficients column compute condition number consider consistent with L[u convergence Corollary corresponding defined degree of approximation determine diagonal difference equation differential equation discrete operator eigenvalues eigenvectors elementary divisors elements Euler method exact solution example exercise exists function Gauss-Seidel method Gaussian elimination given Hence Hermitian Hessenberg matrix integer Jacobi method Lemma linear mapping linear N-step method linearly independent matrix norm method of order methods for solving midpoint method modulo modulus multiplicative inverse nonsingular obtain ordered basis points of Rh polynomial positive definite procedure proof is left Prove Theorem QR algorithm relative degree residue representation result roots satisfies scalar Section sequence si2e similarity transformation SOR method stable starting values subspace sufficiently small symmetric matrix triangular u1xl unique solution vanish vector norm vector space Verify write