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<title>Chapter 12. Tools: Root Finding & Minimization Algorithms, Polynomial Arithmetic & Evaluation</title>
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<div class="chapter">
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<div class="titlepage"><div><div><h1 class="title">
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<a name="rooting"></a>Chapter 12. Tools: Root Finding & Minimization Algorithms, Polynomial Arithmetic
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& Evaluation</h1></div></div></div>
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<div class="toc">
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<p><b>Table of Contents</b></p>
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<dl class="toc">
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<dt><span class="section"><a href="math_toolkit/roots.html">Root finding</a></span></dt>
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<dd><dl>
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<dt><span class="section"><a href="math_toolkit/roots/roots_noderiv.html">Root Finding Without
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Derivatives</a></span></dt>
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<dd><dl>
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<dt><span class="section"><a href="math_toolkit/roots/roots_noderiv/bisect.html">Bisection</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/roots_noderiv/bracket_solve.html">Bracket
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and Solve Root</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/roots_noderiv/TOMS748.html">Algorithm
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TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/roots_noderiv/brent.html">Brent-Decker
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Algorithm</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/roots_noderiv/root_termination.html">Termination
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Condition Functors</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/roots_noderiv/implementation.html">Implementation</a></span></dt>
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</dl></dd>
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<dt><span class="section"><a href="math_toolkit/roots/roots_deriv.html">Root Finding With Derivatives:
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Newton-Raphson, Halley & Schröder</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/root_finding_examples.html">Examples of
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Root-Finding (with and without derivatives)</a></span></dt>
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<dd><dl>
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<dt><span class="section"><a href="math_toolkit/roots/root_finding_examples/cbrt_eg.html">Finding
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the Cubed Root With and Without Derivatives</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/root_finding_examples/lambda.html">Using
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C++11 Lambda's</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/root_finding_examples/5th_root_eg.html">Computing
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the Fifth Root</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/root_finding_examples/multiprecision_root.html">Root-finding
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using Boost.Multiprecision</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/root_finding_examples/nth_root.html">Generalizing
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to Compute the nth root</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/root_finding_examples/elliptic_eg.html">A
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More complex example - Inverting the Elliptic Integrals</a></span></dt>
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</dl></dd>
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<dt><span class="section"><a href="math_toolkit/roots/bad_guess.html">The Effect of a Poor Initial
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Guess</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/bad_roots.html">Examples Where Root Finding
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Goes Wrong</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/brent_minima.html">Locating Function Minima
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using Brent's algorithm</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/root_comparison.html">Comparison of Root
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Finding Algorithms</a></span></dt>
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<dd><dl>
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<dt><span class="section"><a href="math_toolkit/roots/root_comparison/cbrt_comparison.html">Comparison
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of Cube Root Finding Algorithms</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/root_comparison/root_n_comparison.html">Comparison
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of Nth-root Finding Algorithms</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/root_comparison/elliptic_comparison.html">Comparison
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of Elliptic Integral Root Finding Algoritghms</a></span></dt>
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</dl></dd>
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<dt><span class="section"><a href="math_toolkit/roots/polynomials.html">Polynomials</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/roots/rational.html">Polynomial and Rational
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Function Evaluation</a></span></dt>
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</dl></dd>
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</dl>
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</div>
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal,
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Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert
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Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan Råde, Gautam Sewani,
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Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p>
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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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>)
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