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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.
• Acceleration functions: | ||
• Acceleration functions without error estimation: | ||
• Example of accelerating a series: | ||
• Series Acceleration References: |