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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> | |
| 98 | </div></td> | |
| 99 | </tr></table> | |
| 100 | <hr> | |
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| 103 | </div> | |
| 104 | </body> | |
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