[SciPy-user] Interpolation polynomials

Matthieu Brucher matthieu.brucher@gmail....
Tue Aug 21 08:05:39 CDT 2007


Hi,

You can can create p+1 polynomials with the poly() function, and then scale
them by evaluating each of them at the remaining point.

Matthieu

2007/8/21, Neilen Marais <nmarais@sun.ac.za>:
>
> Hi,
>
> I'm looking for functions that evalue to the Lagrangian interpolation
> polynomials, i.e.
>
> L_i = \prod_{j=0..p, j!=i}(x-Xj)/(Xi-Xj)
>
> where Xi are the p+1 interpolation points. I.e., I'd like to pass in p+1
> interpolation points and get back p+1 polynomials L_i that are each zero
> at
> all interpolation points except Xi where the value is 1. Is there an easy
> way to construct these polynomials?
>
> Thanks
> Neilen
>
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