Contains trouble-shooting guides to the major algorithms for Newton's method, their common failure modes, and the likely causes of failure.
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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.
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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Paperback. Condizione: New. 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. Codice articolo LU-9780898715460
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Paperback. Condizione: New. 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. Codice articolo LU-9780898715460
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