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.