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# 29. Series Acceleration

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.

These functions are declared in the header file ‘`gsl_sum.h`’.

29.1 Acceleration functions | ||

29.2 Acceleration functions without error estimation | ||

29.3 Examples | ||

29.4 References and Further Reading |