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Re: GramSchmidt function

• To: mathgroup at smc.vnet.net
• Subject: [mg124621] Re: GramSchmidt function
• From: "Oleksandr Rasputinov" <oleksandr_rasputinov at hmamail.com>
• Date: Fri, 27 Jan 2012 06:08:23 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <jfr2jl$n9f$1@smc.vnet.net>

On Thu, 26 Jan 2012 08:24:21 -0000, Andie S. <freefalling779 at gmail.com>  
wrote:

> I am having trouble creating a function gramSchmidt[vList] to
> construct an orthogonal basis for a list of vectors, vList.
> any pointers on how to do this? Thanks!
>

My suggestion is to avoid it altogether. You can use Mathematica's own  
Gram-Schmidt code as follows:

Orthogonalize[vList, Method -> "GramSchmidt"]

(other Methods are "ModifiedGramSchmidt", "Reorthogonalization", and  
"Householder". In older versions of Mathematica, GramSchmidt and  
Householder are top-level functions in the  
LinearAlgebra`Orthogonalization` package.)