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Re: RationalApproximation

  • To: mathgroup at
  • Subject: [mg55065] Re: RationalApproximation
  • From: "Carl K. Woll" <carlw at>
  • Date: Fri, 11 Mar 2005 04:20:40 -0500 (EST)
  • Organization: University of Washington
  • References: <d0p7q0$j44$>
  • Sender: owner-wri-mathgroup at


One typical idea is to write a wrapper function which stores the values of 
its arguments. Using one of the examples in the help for 


we can modify as follows:


The variable pts stores the set of values chosen as a nested list for 
efficiency reasons. The values you want are obtained by flattening pts.

Carl Woll

"Scott Guthery" <sguthery at> wrote in message 
news:d0p7q0$j44$1 at
> My bad.  RationalInterpolation[].  The docs say:
> "There are two ways of using RationalInterpolation. If you just specify
> a range in the independent variable, then the set of values is chosen
> automatically in a way that ensures a reasonable approximation for the
> degree of approximation you have chosen."
> The question is what is the set of values was chosen automatically.
> Cheers, Scott
> -----Original Message-----
> From: DrBob [mailto:drbob at]
To: mathgroup at
> Subject: [mg55065] Re:  RationalApproximation
> I find no such function in Help for version 5.1.1, and no match for it
> at WRI's documentation center. If searches like this always worked (but
> they don't), that would mean there is no such function. You may have to
> tell us what package the function comes from, before we can find any
> clues on it.
> The Calculus`Pade` package has EconomizedRationalApproximation and
> NumericalMath`Approximations` has a similar function called
> RationalInterpolation, but I see no sign that either of them "ends up
> using" any set of points at all.
> Bobby
> On Wed, 9 Mar 2005 06:34:28 -0500 (EST), Scott Guthery
> <sguthery at> wrote:
>> Is there any way to get RationalApproximation n automatic mode to give
> you back the set of points that it ended up using?
>>Thanks for any insight.
>>Cheers, Scott
> --
> DrBob at

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