Re: Normalize a vector ????
- To: mathgroup at smc.vnet.net
- Subject: [mg16586] Re: Normalize a vector ????
- From: "Allan Hayes" <hay at haystack.demon.co.uk>
- Date: Wed, 17 Mar 1999 23:55:00 -0500
- References: <7clevu$9ov@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
alessandro agresti wrote in message <7clevu$9ov at smc.vnet.net>...
>Let's take the complex-vector vett={1, i}
>The normalized complex-vector is {1/sqrt(2), i/sqrt(2)};
>in fact : Conjugate[vett].vett , we get 1.
>Now let's take the LinearAlgebra`Orthogonalization` packet and
>let's do : Normalize[vett].
>We get 1/0 infinity warning......
>why???
Alessandro:
The default inner product is Dot.
We can set the correct one with an option:
<<LinearAlgebra`Orthogonalization`
vett={1, I};
Normalize[vett, InnerProduct -> (Conjugate[#].#&)]
{1/Sqrt[2], I/Sqrt[2]}
Allan
---------------------
Allan Hayes
Mathematica Training and Consulting
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