Eugene Salamin, Computation of $\pi$ Using Arithmetic-Geometric Mean, Mathematics of Computation, Vol. 30, No. 135 (Jul., 1976), pp. 565-570 ...

We produce a self contained account of the relationship between the Gaussian arithmetic-geometric mean iteration and the fast computation of elementary functions. A particularly pleasant algorithm for ...

The simple definition of a mean is that of a numeric quantity which represents the center of a collection of numbers. Here the trick lies in defining the exact type of numeric collection, as beyond… ...