Solving Nonlinear Equations with Newton's Method

C T Kelley

ISBN 10: 0898715466 / ISBN 13: 9780898715460

Published by Society For Industrial And Applied Mathematics (SIAM) Jan 1987, 1987

About this Item

Neuware - 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. It 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.The author covers both simple techniques for scalar problems as well as contemporary techniques (e.g. inexact Newton methods and Newton-Krylov techniques) for larger scale problems. This book is intended to complement Kelley s larger book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), which focuses on in-depth treatment of convergence theory, but does not discuss the details of solving particular problems, implementation in any particular language, or evaluating a solver for a given problem.

Seller Inventory # 9780898715460

Bibliographic Details

• Title: Solving Nonlinear Equations with Newton's Method
• Publisher: Society For Industrial And Applied Mathematics (SIAM) Jan 1987
• Publication Date: 1987
• Language: English
• ISBN 10: 0898715466
• ISBN 13: 9780898715460
• Binding: Taschenbuch
• Condition: Neu

About this title

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.

Book Description

Any engineer or scientist taking part in a computational project or involved in any computational science and engineering academic program will benefit from this book. Because the examples area is so closely coupled to the text, this book cannot be understood without a working knowledge of MATLAB.