## Fundamentals of numerical analysis |

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### Contents

chapter page 1 Introduction | 3 |

Systems of Linear Algebraic Equations | 11 |

Nonlinear Equations | 28 |

Copyright | |

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### Common terms and phrases

absolute value algebraic equations analysis applied appropriate approximate the solution approximation formula boundary values calculation choice coefficients column complex roots constant terms decimal places derivative determine difference equation differential system digits equations involving error term errors involved Euler's method Example Exercise factors following equations formula involving function Gaussian gives grid Hence integer factors integral equation integrand interval inverse iteration methods Let us consider matrix method of Art method to approximate Newton-Raphson method Newton's method nodes partial differential equations Pn(x polynomial equations precision procedure quadrature formula rate of convergence real roots reduced result roundoff errors rule to approximate satisfied Simpson's rule solve step substitution system of equations techniques temperature tion trapezoidal rule triangular form triangular matrix truncation error U(xP unknown variable write yn+1 yn+i zero