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Solving Nonlinear Equations with Newton's Method - Kelley, C T
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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 ...

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Solving Nonlinear Equations with Newton's Method 1987, Society for Industrial and Applied Mathematics (SIAM), Philadelphia

ISBN-13: 9780898715460

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