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 2 real fixpoints ... 3 iterations ? bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 08/10/2009, 11:45 PM (08/10/2009, 11:20 PM)jaydfox Wrote: (08/10/2009, 11:03 PM)tommy1729 Wrote: no , you assume regular iteration at fp1 touches fp 2 , what if it doesnt ?But wouldn't that necessitate another fixed point between fp1 and fp2? Why else would regular iteration from fp1 not reach fp2? By your original stipulation, the function is strictly increasing (except, of course, at the fixed points). If it does not get from fp1 to fp2, there must be some point (which we can find by taking the limit of infinite iterations) which is a fixed point. Exactly. « Next Oldest | Next Newest »

 Messages In This Thread 2 real fixpoints ... 3 iterations ? - by tommy1729 - 08/08/2009, 11:31 PM RE: 2 real fixpoints ... 3 iterations ? - by bo198214 - 08/09/2009, 12:27 AM RE: 2 real fixpoints ... 3 iterations ? - by tommy1729 - 08/10/2009, 11:03 PM RE: 2 real fixpoints ... 3 iterations ? - by jaydfox - 08/10/2009, 11:20 PM RE: 2 real fixpoints ... 3 iterations ? - by bo198214 - 08/10/2009, 11:45 PM

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