000			01869 a2200241 4500
008			241219b |||||||| |||| 00| 0 eng d
020			_a9780898715460
082			_a511.4 KEL
100			_aKelley, C. T.
245			_aSolving nonlinear equations with Newton's method
260			_aPhiladelphia: _bSociety for Industrial and Applied Mathematics (SIAM), _c2003.
300			_a104p.: _bill.; hbk.: _c26cm.
440			_aFundamentals of Algorithms
504			_aIncludes bibliography, and index.
520			_aThis 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. 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. https://epubs.siam.org/doi/book/10.1137/1.9780898718898
650			_aNewton-Krylov Methods
650			_aBroyden's Method
650			_aAlgorithms
650			_aNonlinear Theories
650			_aNewton's Method
650			_aIterative Methods
942			_cTD _2ddc
999			_c61581 _d61581