Gauss–Legendre algorithm: Difference between revisions

Revision as of 17:37, 11 March 2013

Revision as of 17:46, 11 March 2013

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:<math> \begin{align} a_{n+1} & = \frac{a_n + b_n}{2}, \\

b_{n+1} & = \sqrt{a_{n+1}a_n b_n}, \\

t_{n+1} & = t_n - p_n(a_n - a_{n+1} - a_n)^2, \\

p_{n+1} & = 2p_n.

\end{align}