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Solving Nonlinear Equations with Newton's Method
C. T. Kelley
出版
SIAM
, 2003-01-01
主題
Mathematics / Mathematical Analysis
Mathematics / Differential Equations / General
Mathematics / General
Mathematics / Numerical Analysis
ISBN
0898715466
9780898715460
URL
http://books.google.com.hk/books?id=MpgVAuR4wJkC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.