Solving Nonlinear Equations with Newton's Method (Fundamentals of Algorithms, Series Number 1)

✍ Scribed by C. T. Kelley

• Publisher: Society for Industrial and Applied Mathematics
• Year: 1987
• Tongue: English
• Leaves: 119
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

ISBN 0898715466
Funcdamentals of Algorithms Solving Nonlinear Equations with Newton's Method
Contents
Preface
How to Get the Software
Chapter 1 Introduction
Chapter 2 Finding the Newton Step with Gaussian Elimination
Chapter 3 Newton–Krylov Methods
Chapter 4 Broyden's Method
Bibliography
Index