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MathGroup Archive 2005

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Re: FixedPoint

  • To: mathgroup at smc.vnet.net
  • Subject: [mg62242] Re: FixedPoint
  • From: "Ray Koopman" <koopman at sfu.ca>
  • Date: Thu, 17 Nov 2005 04:15:40 -0500 (EST)
  • References: <dlenve$8ik$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

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.
>
> Thanks for any insight.
>
> Cheers, Scott

You can also do it without setting up an interation counter.

In[1]:= skwrt[a_] := {Last@#,Length@#-1}&@FixedPointList[.5(a/#+#)&,1.]

In[2]:= skwrt[2.]

Out[2]= {1.41421,6}


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