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Multilinear eigenvalue problem

  1. Aug 14, 2011 #1
    I'm trying to do something that requires solving an eigenvalue problem of the form
    [tex]A_{imkl} c_m c_k c^*_l=\lambda c_i[/tex]
    where A is a known rank-4 tensor, [itex]\lambda[/itex] is the eigenvalue, and the [itex]c_i[/itex]'s are a set of unknown coefficients that I need to determine. I would guess that this type of problem should be solvable, but I have no idea where to start. For all I know, it's a problem with a common name that I just don't know. Any pointers?
  2. jcsd
  3. Aug 17, 2011 #2
    If anyone even knew what this class of problem is called, that would be tremendously helpful. (A Google search on various terms related to "eigenvalues" comes up with a lot of useless results.)
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