Re: Hankel matrix?
- To: mathgroup at smc.vnet.net
- Subject: [mg59369] Re: [mg59336] Hankel matrix?
- From: Pratik Desai <pdesai1 at umbc.edu>
- Date: Sun, 7 Aug 2005 03:47:01 -0400 (EDT)
- References: <200508060529.BAA01120@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.
>Thanks a lot
>Thomas
>
>
>
>
Actually there is
Look at << LinearAlgebra`MatrixManipulation` package in help.
Based on what you have posted here is my attempt;
Clear[gamma1, coeffpos, list1]
gamma1 = Total[Table[z^j*Gamma[j], {j, 5}]]
coeffpos = Position[gamma1, _?IntegerQ]
list1 = Extract[gamma1, coeffpos]
HankelMatrix[list1] // MatrixForm
Hope this helps
Best Regards,
Pratik
--
Pratik Desai
Graduate Student
UMBC
Department of Mechanical Engineering
Phone: 410 455 8134
- References:
- Hankel matrix?
- From: "Thomas Schmelzer" <thomas.???@balliol.ox.ac.uk>
- Hankel matrix?