Gauss–Legendre algorithm: Difference between revisions

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:<math> \begin{align} a_{n+1} & = \frac{a_n + b_n}{2}, \\
b_{n+1} & = \sqrt{a_n+1 b_n}, \\
t_{n+1} & = t_n - p_n(a_n+1 - a_{n+1})^2, \\
p_{n+1} & = 2p_n.
\end{align}