Re: Hankel matrix?
- To: mathgroup at smc.vnet.net
- Subject: [mg59352] Re: Hankel matrix?
- From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
- Date: Sun, 7 Aug 2005 03:46:49 -0400 (EDT)
- Organization: The Open University, Milton Keynes, U.K.
- References: <dd1i8s$190$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Thomas Schmelzer wrote:
> Hello,
> given a list of coefficents I would like to create a Hankel matrix.
>
> Let's say
>
> 1/Gamma(z)=sum c_k z^k
>
> I am now interested in the coefficents c_4,...c_100 (numerical
> approximations are fine)
>
> I would like to generate the Hankel matrix
>
> c_4 c_5
>
> c_5
>
> c_6
>
> c_7
>
> etc.
>
> How do I have to proceed in Mathematica? It seems there is nothing to build
> a Hankel matrix with.
Thomas,
Is this what you are looking for?
In[1]:=
Needs["LinearAlgebra`MatrixManipulation`"]
In[2]:=
HankelMatrix[{c4, c5, c6, c7}]
Out[2]=
{{c4, c5, c6, c7}, {c5, c6, c7, 0}, {c6, c7, 0, 0},
{c7, 0, 0, 0}}
In[3]:=
$Version
Out[3]=
"5.2 for Microsoft Windows (June 20, 2005)"
http://mathworld.wolfram.com/HankelMatrix.html
http://documents.wolfram.com/mathematica/Add-onsLinks/StandardPackages/LinearAlgebra/MatrixManipulation.html
http://documents.wolfram.com/mathematica/Built-inFunctions/AdvancedDocumentation/LinearAlgebra/LinearAlgebraInMathematica/MatrixAndTensorOperations/BuildingMatrices/AdvancedDocumentationLinearAlgebra1.0.0.html
Best regards,
/J.M.