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MathGroup Archive 2005

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Re: FixedPoint

  • To: mathgroup at smc.vnet.net
  • Subject: [mg62235] Re: [mg62227] FixedPoint
  • From: Kristjan Kannike <kkannike at physic.ut.ee>
  • Date: Thu, 17 Nov 2005 04:15:33 -0500 (EST)
  • References: <200511160728.CAA08507@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

On Wed, 16 Nov 2005, Scott wrote:

> Anybody know how to get FixedPoint to reveal how many iterations it had
> to perform before it found the fixed point; i.e. what n was when SameQ
> was satisfied and FixedPoint exited.

[...]

There's the FixedPointList function that gives all the intermediate
results, stopping when the elements no longer change -- so the length of
the returned list is the number of iterations + 1. Thus you need

{result, length} = With[{fpl = FixedPointList[yourFunction,
yourInitialCond]}, {Last[fpl], Length[fpl]-1}]

Kristjan Kannike
<http://www.physic.ut.ee/~kkannike/english/>


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