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4 | <title>Chapter 12. Tools: Root Finding & Minimization Algorithms, Polynomial Arithmetic & Evaluation</title> | |
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24 | </div> | |
25 | <div class="chapter"> | |
26 | <div class="titlepage"><div><div><h1 class="title"> | |
27 | <a name="rooting"></a>Chapter 12. Tools: Root Finding & Minimization Algorithms, Polynomial Arithmetic | |
28 | & Evaluation</h1></div></div></div> | |
29 | <div class="toc"> | |
30 | <p><b>Table of Contents</b></p> | |
31 | <dl> | |
32 | <dt><span class="section"><a href="math_toolkit/roots.html">Root finding</a></span></dt> | |
33 | <dd><dl> | |
34 | <dt><span class="section"><a href="math_toolkit/roots/roots_noderiv.html">Root Finding Without | |
35 | Derivatives</a></span></dt> | |
36 | <dd><dl> | |
37 | <dt><span class="section"><a href="math_toolkit/roots/roots_noderiv/bisect.html">Bisection</a></span></dt> | |
38 | <dt><span class="section"><a href="math_toolkit/roots/roots_noderiv/bracket_solve.html">Bracket | |
39 | and Solve Root</a></span></dt> | |
40 | <dt><span class="section"><a href="math_toolkit/roots/roots_noderiv/TOMS748.html">Algorithm | |
41 | TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions</a></span></dt> | |
42 | <dt><span class="section"><a href="math_toolkit/roots/roots_noderiv/brent.html">Brent-Decker | |
43 | Algorithm</a></span></dt> | |
44 | <dt><span class="section"><a href="math_toolkit/roots/roots_noderiv/root_termination.html">Termination | |
45 | Condition Functors</a></span></dt> | |
46 | <dt><span class="section"><a href="math_toolkit/roots/roots_noderiv/implementation.html">Implementation</a></span></dt> | |
47 | </dl></dd> | |
48 | <dt><span class="section"><a href="math_toolkit/roots/roots_deriv.html">Root Finding With Derivatives: | |
49 | Newton-Raphson, Halley & Schröder</a></span></dt> | |
50 | <dt><span class="section"><a href="math_toolkit/roots/root_finding_examples.html">Examples of | |
51 | Root-Finding (with and without derivatives)</a></span></dt> | |
52 | <dd><dl> | |
53 | <dt><span class="section"><a href="math_toolkit/roots/root_finding_examples/cbrt_eg.html">Finding | |
54 | the Cubed Root With and Without Derivatives</a></span></dt> | |
55 | <dt><span class="section"><a href="math_toolkit/roots/root_finding_examples/lambda.html">Using | |
56 | C++11 Lambda's</a></span></dt> | |
57 | <dt><span class="section"><a href="math_toolkit/roots/root_finding_examples/5th_root_eg.html">Computing | |
58 | the Fifth Root</a></span></dt> | |
59 | <dt><span class="section"><a href="math_toolkit/roots/root_finding_examples/multiprecision_root.html">Root-finding | |
60 | using Boost.Multiprecision</a></span></dt> | |
61 | <dt><span class="section"><a href="math_toolkit/roots/root_finding_examples/nth_root.html">Generalizing | |
62 | to Compute the nth root</a></span></dt> | |
63 | <dt><span class="section"><a href="math_toolkit/roots/root_finding_examples/elliptic_eg.html">A | |
64 | More complex example - Inverting the Elliptic Integrals</a></span></dt> | |
65 | </dl></dd> | |
66 | <dt><span class="section"><a href="math_toolkit/roots/bad_guess.html">The Effect of a Poor Initial | |
67 | Guess</a></span></dt> | |
68 | <dt><span class="section"><a href="math_toolkit/roots/bad_roots.html">Examples Where Root Finding | |
69 | Goes Wrong</a></span></dt> | |
70 | <dt><span class="section"><a href="math_toolkit/roots/brent_minima.html">Locating Function Minima | |
71 | using Brent's algorithm</a></span></dt> | |
72 | <dt><span class="section"><a href="math_toolkit/roots/root_comparison.html">Comparison of Root | |
73 | Finding Algorithms</a></span></dt> | |
74 | <dd><dl> | |
75 | <dt><span class="section"><a href="math_toolkit/roots/root_comparison/cbrt_comparison.html">Comparison | |
76 | of Cube Root Finding Algorithms</a></span></dt> | |
77 | <dt><span class="section"><a href="math_toolkit/roots/root_comparison/root_n_comparison.html">Comparison | |
78 | of Nth-root Finding Algorithms</a></span></dt> | |
79 | <dt><span class="section"><a href="math_toolkit/roots/root_comparison/elliptic_comparison.html">Comparison | |
80 | of Elliptic Integral Root Finding Algoritghms</a></span></dt> | |
81 | </dl></dd> | |
82 | <dt><span class="section"><a href="math_toolkit/roots/polynomials.html">Polynomials</a></span></dt> | |
83 | <dt><span class="section"><a href="math_toolkit/roots/rational.html">Polynomial and Rational | |
84 | Function Evaluation</a></span></dt> | |
85 | </dl></dd> | |
86 | </dl> | |
87 | </div> | |
88 | </div> | |
89 | <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> | |
90 | <td align="left"></td> | |
91 | <td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal, | |
92 | Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert | |
93 | Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan Råde, Gautam Sewani, | |
94 | Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p> | |
95 | Distributed under the Boost Software License, Version 1.0. (See accompanying | |
96 | file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) | |
97 | </p> | |
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