Look at the Borchardt mean: Define f(a,b,c,d) = (1/2) (sqrt( a b) + sqrt( c d )) Then the iteration for genus 2 is (a,b,c,d) -> ((1/4)(a+b+c+d), f(a,b,c,d),f(a,c,b,d),f(a,d,b,c)) which converges much like the AGM Victor On Fri, Dec 30, 2011 at 10:46 AM, Joerg Arndt <arndt@jjj.de> wrote:
* Warren Smith <warren.wds@gmail.com> [Dec 30. 2011 15:41]:
[...]
Thanks for the pointers.
It seems to me if so, it'd be worth writing those algorithms out highly explicitly, instead of all this ultra-abstract garbage. And running them.
Nicely said. I am still looking for _one_ explicit algorithm in any of those papers I see (about 10 years now).
cheers, jj
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