Accelerating an alternating series

( go to the article → https://www.johndcook.com/blog/2020/08/06/cohen-acceleration/ )

This post looks at an algorithm by Cohen et al [1] to accelerate the convergence of an alternating series. This method is much more efficient than the classical Euler–Van Wijngaarden method. For our example, we’ll look at the series which converges slowly to -π²/12. The first algorithm in [1] for approximating using up to the […]

Aug. 6, 2020, 12:20 p.m.