Re: How to generate Orthogonal Polynomials?
- To: mathgroup at smc.vnet.net
- Subject: [mg44397] Re: How to generate Orthogonal Polynomials?
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Sat, 8 Nov 2003 04:50:42 -0500 (EST)
- Organization: Universitaet Leipzig
- References: <boftji$5q3$1@smc.vnet.net>
- Reply-to: kuska at informatik.uni-leipzig.de
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
<< LinearAlgebra`Orthogonalization`
With[{w = x^2},
GramSchmidt[{1, x, x^2, x^3},
InnerProduct -> (Integrate[#1*#2*w, {x, -1, 1}] &)
]
]
Regards
Jens
Big Oh Rob wrote:
>
> I'm having problems generating orthagonal polynomials using the
> GramSchmidt function.
>
> I'm given a weight.
>
> And my innerproduct looks like:
>
> <f,g>=Integrate(from -1 to 1)[f(x)g(x)w(x)]
>
> w(x) is the wight and is give. It could be anything like x, x^2 or
> x^2+1.
>
> Any help is appreciated. Thanks