On the acceleration of two classes of sequences by the Θ̂-algorithm

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摘要

The Θ̂-algorithm is a general extrapolation procedure for accelerating the convergence of sequences. Acceleration theorems for two classes of sequences of real numbers are proved. Theoretical results are illustrated by numerical examples.

论文关键词:Convergence acceleration,Extrapolation,Summation of series

论文评审过程:Received 5 March 1998, Revised 12 December 1998, Available online 7 September 1999.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00053-9