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Previous: <a href="Nonlinear-Least_002dSquares-Examples.html#Nonlinear-Least_002dSquares-Examples" accesskey="p" rel="previous">Nonlinear Least-Squares Examples</a>, Up: <a href="Nonlinear-Least_002dSquares-Fitting.html#Nonlinear-Least_002dSquares-Fitting" accesskey="u" rel="up">Nonlinear Least-Squares Fitting</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="References-and-Further-Reading-31"></a>
<h3 class="section">39.13 References and Further Reading</h3>

<p>The following publications are relevant to the algorithms described
in this section,
</p>
<ul class="no-bullet">
<li><!-- /@w --> J.J. Mor&eacute;, <cite>The Levenberg-Marquardt Algorithm: Implementation and
Theory</cite>, Lecture Notes in Mathematics, v630 (1978), ed G. Watson.

</li><li><!-- /@w --> H. B. Nielsen, &ldquo;Damping Parameter in Marquardt&rsquo;s Method&rdquo;,
IMM Department of Mathematical Modeling, DTU, Tech. Report IMM-REP-1999-05
(1999).

</li><li><!-- /@w --> K. Madsen and H. B. Nielsen, &ldquo;Introduction to Optimization and Data
Fitting&rdquo;, IMM Department of Mathematical Modeling, DTU, 2010.

</li><li><!-- /@w --> J. E. Dennis and R. B. Schnabel, Numerical Methods for Unconstrained
Optimization and Nonlinear Equations, SIAM, 1996.

</li><li><!-- /@w --> M. K. Transtrum, B. B. Machta, and J. P. Sethna,
Geometry of nonlinear least squares with applications to sloppy models and optimization,
Phys. Rev. E 83, 036701, 2011.

</li><li><!-- /@w --> M. K. Transtrum and J. P. Sethna, Improvements to the Levenberg-Marquardt
algorithm for nonlinear least-squares minimization, arXiv:1201.5885, 2012.

</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><li><!-- /@w --> H. B. Nielsen, &ldquo;UCTP Test Problems for Unconstrained Optimization&rdquo;,
IMM Department of Mathematical Modeling, DTU, Tech. Report IMM-REP-2000-17
(2000).
</li></ul>




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