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Re: FixedPoint[Cos, 1.0]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg119373] Re: FixedPoint[Cos, 1.0]
  • From: "Dr. Wolfgang Hintze" <weh at snafu.de>
  • Date: Wed, 1 Jun 2011 04:32:32 -0400 (EDT)
  • References: <is2kjq$qrm$1@smc.vnet.net>

Let`s go one step further down in version:

In[1]:=
FixedPoint[Cos, 1.0]
Out[1]=
0.739085
In[2]:=
$Version
Out[2]=
5.2 for Microsoft Windows (June 20, 2005)

Regards,
Wolfgang

"J Siehler" <jsiehler at gmail.com> schrieb im Newsbeitrag 
news:is2kjq$qrm$1 at smc.vnet.net...
> My numerical analysis students this past term pointed out to me that
> the command
>
> FixedPoint[Cos, 1.0]
>
> which is the first example in the Information for FixedPoint doesn't
> ever finish running (or, not in any reasonable amount of time).  We
> tried this on serveral versions of Mathematica (6.x, 7.x, and 8.x),
> all on OS X, and got the same nonresult.
>
> It can be forced by specifying something like FixedPoint[Cos, 1.0,
> SameTest -> (Abs[#1 - #2] < 10^-10 &)] or FixedPoint[Cos, 1.0, 40],
> but it seems like that should be unnecessary, and the form given in
> the documentation should work.  Can anybody else confirm this
> behavior?  Am I missing something totally obvious here?
> 



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