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>
• 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

```

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