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<h2 class="chapter">30 Series Acceleration</h2>
<p><a name="index-acceleration-of-series-2308"></a><a name="index-summation_002c-acceleration-2309"></a><a name="index-series_002c-acceleration-2310"></a><a name="index-u_002dtransform-for-series-2311"></a><a name="index-Levin-u_002dtransform-2312"></a><a name="index-convergence_002c-accelerating-a-series-2313"></a>
The functions described in this chapter accelerate the convergence of a
series using the Levin u-transform. This method takes a small number of
terms from the start of a series and uses a systematic approximation to
compute an extrapolated value and an estimate of its error. The
u-transform works for both convergent and divergent series, including
asymptotic series.
<p>These functions are declared in the header file <samp><span class="file">gsl_sum.h</span></samp>.
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<li><a accesskey="1" href="Acceleration-functions.html">Acceleration functions</a>
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<li><a accesskey="4" href="Series-Acceleration-References.html">Series Acceleration References</a>
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