Talk:Arithmetic-geometric mean: Difference between revisions
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I have included examples of using the agm to calculate Pi: |
I have included examples of using the agm to calculate Pi: |
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http://rosettacode.org/wiki/Pi#C.2B.2B |
: http://rosettacode.org/wiki/Pi#C.2B.2B |
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Proof and details of the algorithm used are described: |
Proof and details of the algorithm used are described: |
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http://mathdl.maa.org/images/upload_library/22/Ford/Almkvist-Berndt585-608.pdf |
: http://mathdl.maa.org/images/upload_library/22/Ford/Almkvist-Berndt585-608.pdf |
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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 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. |
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