[SciPy-User] orthogonal polynomials ?

[nicky van foreest]

Hi,

Might this be what you want:

The first eleven probabilists' Hermite polynomials are:

...

My chromium browser does not seem to paste pngs. Anyway, check


http://en.wikipedia.org/wiki/Hermite_polynomials

and you'll see that the first polynomial is 1, the second x, and so
forth. From my courses on quantum mechanics I recall that these
polynomials are, with respect to some weight function, orthogonal.

Nicky



On 14 May 2011 22:02,  <josef.pktd at gmail.com> wrote:
> Suppose I have an polynomial basis on a bounded domain [0,1] , the
> polynomials in scipy are orthogonal with respect to a weighting
> function, for example Chebychev.
>
> What I would like:
> First component is constant
> second component is linear trend
> all other components are orthogonal to all previous ones with respect
> to uniform weights.
>
> Is there a ready way how to do this? (Or it's easy and I can figure it
> out myself?)
> Or does what I would like not make any sense?
>
> Josef
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