The evaluation of multicenter integrals is necessary for ab initio calculations. Expansion techniques give infinite series which must be summed. We have used several nonlinear sequence-to-sequence transformations to obtain more rapidly convergent series. The best of these transformations reduces the time necessary to evaluate some four-center integrals by as much as 75%. This transformation improved the convergence of all of the twenty integrals we have treated.
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Petersson et al. (1967) studied this question.