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<h2 class="chapter">29 Series Acceleration</h2>
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<p><a name="index-acceleration-of-series-2031"></a><a name="index-summation_002c-acceleration-2032"></a><a name="index-series_002c-acceleration-2033"></a><a name="index-u_002dtransform-for-series-2034"></a><a name="index-Levin-u_002dtransform-2035"></a><a name="index-convergence_002c-accelerating-a-series-2036"></a>
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The functions described in this chapter accelerate the convergence of a
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series using the Levin u-transform. This method takes a small number of
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terms from the start of a series and uses a systematic approximation to
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compute an extrapolated value and an estimate of its error. The
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u-transform works for both convergent and divergent series, including
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<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">Acceleration functions</a>
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<li><a accesskey="2" href="Acceleration-functions-without-error-estimation.html#Acceleration-functions-without-error-estimation">Acceleration functions without error estimation</a>
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<li><a accesskey="3" href="Example-of-accelerating-a-series.html#Example-of-accelerating-a-series">Example of accelerating a series</a>
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<li><a accesskey="4" href="Series-Acceleration-References.html#Series-Acceleration-References">Series Acceleration References</a>
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