Talk:Arithmetic-geometric mean: Difference between revisions

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The paper begins with an investigation of why the agm is such an efficient algorithm, and proves that it converges quadratically. From this section one should remeber equation (1) which defines c. Read through to Theorem 5 (derived from Theorems 3&4). If you have remembered the definition of c this should remind you of the above implementations.
 
The paper goes on to prove Theorem 5, though one coulscould argue that the success of the above implementations is proof. It then procedes to show how the agm may be used to calculate length of the perimeter of an elipse without differential calculus, which was the origional intent (perhaps another task), but really we are only interested in Pi.
 
--[[User:Nigel Galloway|Nigel Galloway]] 14:26, 29 March 2012 (UTC)
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