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<p>
Previous: <a href="Example-of-accelerating-a-series.html#Example-of-accelerating-a-series" accesskey="p" rel="previous">Example of accelerating a series</a>, Up: <a href="Series-Acceleration.html#Series-Acceleration" accesskey="u" rel="up">Series Acceleration</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-23"></a>
<h3 class="section">31.4 References and Further Reading</h3>

<p>The algorithms used by these functions are described in the following papers,
</p>
<ul class="no-bullet">
<li><!-- /@w --> T. Fessler, W.F. Ford, D.A. Smith,
<small>HURRY</small>: An acceleration algorithm for scalar sequences and series
<cite>ACM Transactions on Mathematical Software</cite>, 9(3):346&ndash;354, 1983.
and Algorithm 602 9(3):355&ndash;357, 1983.
</li></ul>

<p>The theory of the <em>u</em>-transform was presented by Levin,
</p>
<ul class="no-bullet">
<li><!-- /@w --> D. Levin,
Development of Non-Linear Transformations for Improving Convergence of
Sequences, <cite>Intern. J. Computer Math.</cite> B3:371&ndash;388, 1973.
</li></ul>

<p>A review paper on the Levin Transform is available online,
</p><ul class="no-bullet">
<li><!-- /@w --> Herbert H. H. Homeier, Scalar Levin-Type Sequence Transformations,
<a href="http://arxiv.org/abs/math/0005209">http://arxiv.org/abs/math/0005209</a>.
</li></ul>




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