Eigensystem for higher dimensions?
- To: mathgroup at smc.vnet.net
- Subject: [mg68472] Eigensystem for higher dimensions?
- From: AES <siegman at stanford.edu>
- Date: Sun, 6 Aug 2006 02:57:13 -0400 (EDT)
- Organization: Stanford University
- Sender: owner-wri-mathgroup at wolfram.com
Can the matrix m in Eigensystem[m] be greater than two dimensional?
And the eigenvectors v correspondingly greater than one dimensional?
The problem of interest is finding the eigenvalues lambda and
eigenarrays A of the equation
M A = lambda A
with A being a (physically nonseparable) two dimensional array and M a
specified four dimensional array. I can of course use appropriate
indexing to convert these to one and two dimensional quantities, but the
index transformations can be a pain; the reverse index transformations
even more ugly; the Mathematica Book doesn't seem to explicitly answer
the question -- and it's easier to ask it here, and maybe also get some
useful pointers, than futz around with experiments.
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