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<p>
Next: <a href="Multidimensional-Root_002dFinding.html#Multidimensional-Root_002dFinding" accesskey="n" rel="next">Multidimensional Root-Finding</a>, Previous: <a href="One-dimensional-Root_002dFinding.html#One-dimensional-Root_002dFinding" accesskey="p" rel="previous">One dimensional Root-Finding</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="One-dimensional-Minimization-1"></a>
<h2 class="chapter">35 One dimensional Minimization</h2>
<a name="index-optimization_002c-see-minimization"></a>
<a name="index-maximization_002c-see-minimization"></a>
<a name="index-minimization_002c-one_002ddimensional"></a>
<a name="index-finding-minima"></a>
<a name="index-nonlinear-functions_002c-minimization"></a>

<p>This chapter describes routines for finding minima of arbitrary
one-dimensional functions.  The library provides low level components
for a variety of iterative minimizers and convergence tests.  These can be
combined by the user to achieve the desired solution, with full access
to the intermediate steps of the algorithms.  Each class of methods uses
the same framework, so that you can switch between minimizers at runtime
without needing to recompile your program.  Each instance of a minimizer
keeps track of its own state, allowing the minimizers to be used in
multi-threaded programs.
</p>
<p>The header file <samp>gsl_min.h</samp> contains prototypes for the
minimization functions and related declarations.  To use the minimization
algorithms to find the maximum of a function simply invert its sign.
</p>
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<tr><td align="left" valign="top">&bull; <a href="Minimization-Overview.html#Minimization-Overview" accesskey="1">Minimization Overview</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<tr><td align="left" valign="top">&bull; <a href="Initializing-the-Minimizer.html#Initializing-the-Minimizer" accesskey="3">Initializing the Minimizer</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<tr><td align="left" valign="top">&bull; <a href="Providing-the-function-to-minimize.html#Providing-the-function-to-minimize" accesskey="4">Providing the function to minimize</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<tr><td align="left" valign="top">&bull; <a href="Minimization-Iteration.html#Minimization-Iteration" accesskey="5">Minimization Iteration</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<tr><td align="left" valign="top">&bull; <a href="Minimization-Stopping-Parameters.html#Minimization-Stopping-Parameters" accesskey="6">Minimization Stopping Parameters</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<tr><td align="left" valign="top">&bull; <a href="Minimization-Algorithms.html#Minimization-Algorithms" accesskey="7">Minimization Algorithms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<tr><td align="left" valign="top">&bull; <a href="Minimization-Examples.html#Minimization-Examples" accesskey="8">Minimization Examples</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<tr><td align="left" valign="top">&bull; <a href="Minimization-References-and-Further-Reading.html#Minimization-References-and-Further-Reading" accesskey="9">Minimization References and Further Reading</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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