Re: for higher dimensions?
- To: mathgroup at smc.vnet.net
- Subject: [mg68532] Re: for higher dimensions?
- From: AES <siegman at stanford.edu>
- Date: Wed, 9 Aug 2006 04:18:53 -0400 (EDT)
- Organization: Stanford University
- References: <eb9p00$srh$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
In article <eb9p00$srh$1 at smc.vnet.net>,
"Adriano Pascoletti" <pascolet at dimi.uniud.it> wrote:
> Yes. Use Eigensystem.
> For instance
>
> M = {{2, 0, -3}, {3, 5, 6}, {1, 1, -1}};esys = Eigensystem[M];
>
Thanks -- but this, in my interpretation at least, is a 3 X 3 but still
*two-dimensional* (rows and columns) matrix.
My current task is to find eigensolutions to a problem that might be
written most conveniently, with it's indices shown explicitly, as
M_{i,j,m,n} A_{m,n} = lambda A_{i,j}
with M known and the objective being find a set of eigenvalues lambda[k]
and "eigenmatrices" A_{i,j}[k] that satisfy this equation.