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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
No date available
Paperback
9780898715460
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

    No date available
    Paperback
    9780898715460
    118 pages
    254 × 177 × 6 mm
    0.232kg

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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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