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Previous: <a href="Example-programs-for-Multidimensional-Root-finding.html#Example-programs-for-Multidimensional-Root-finding" accesskey="p" rel="previous">Example programs for Multidimensional Root finding</a>, Up: <a href="Multidimensional-Root_002dFinding.html#Multidimensional-Root_002dFinding" accesskey="u" rel="up">Multidimensional Root-Finding</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<h3 class="section">36.9 References and Further Reading</h3>

<p>The original version of the Hybrid method is described in the following
articles by Powell,
</p>
<ul class="no-bullet">
<li><!-- /@w --> M.J.D. Powell, &ldquo;A Hybrid Method for Nonlinear Equations&rdquo; (Chap 6, p
87&ndash;114) and &ldquo;A Fortran Subroutine for Solving systems of Nonlinear
Algebraic Equations&rdquo; (Chap 7, p 115&ndash;161), in <cite>Numerical Methods for
Nonlinear Algebraic Equations</cite>, P. Rabinowitz, editor.  Gordon and
Breach, 1970.
</li></ul>

<p>The following papers are also relevant to the algorithms described in
this section,
</p>
<ul class="no-bullet">
<li><!-- /@w --> J.J. Mor&eacute;, M.Y. Cosnard, &ldquo;Numerical Solution of Nonlinear Equations&rdquo;,
<cite>ACM Transactions on Mathematical Software</cite>, Vol 5, No 1, (1979), p 64&ndash;85

</li><li><!-- /@w --> C.G. Broyden, &ldquo;A Class of Methods for Solving Nonlinear
Simultaneous Equations&rdquo;, <cite>Mathematics of Computation</cite>, Vol 19 (1965),
p 577&ndash;593

</li><li><!-- /@w --> J.J. Mor&eacute;, B.S. Garbow, K.E. Hillstrom, &ldquo;Testing Unconstrained
Optimization Software&rdquo;, ACM Transactions on Mathematical Software, Vol
7, No 1 (1981), p 17&ndash;41
</li></ul>





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