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Solving Nonlinear Equations with Newton's Method

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Solving Nonlinear Equations with Newton's Method

Solving Nonlinear Equations with Newton's Method

C. T. Kelley, North Carolina State University
January 1987
Paperback
9780898715460
$63.00
USD
Paperback
    Description

    This brief book on Newton's method is a user-oriented guide to algorithms and implementation. In just over 100 pages, it shows, via algorithms in pseudocode, in MATLAB, and with several examples, how one can choose an appropriate Newton-type method for a given problem, diagnose problems, and write an efficient solver or apply one written by others. Solving Nonlinear Equations with Newton's Method contains trouble-shooting guides to the major algorithms, their most common failure modes, and the likely causes of failure. It also includes many worked-out examples (available on the SIAM website) in pseudocode and a collection of MATLAB codes, allowing readers to experiment with the algorithms easily and implement them in other languages.

    Product details

    January 1987
    Paperback
    9780898715460
    118 pages
    254 × 177 × 6 mm
    0.232kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

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    Contents

    Table of Contents

    • Preface
    • How to Get the Software
    • 1. Introduction
    • 2. Finding the Newton Step with Gaussian Elimination
    • 3. Newton–Krylov Methods
    • 4. Broyden's Method
    • Bibliography
    • Index.
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