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Can there be a rational transfer function between I and an "eigenbasis"?
Posted:
Apr 25, 2011 1:30 PM


Suppose B is the basis derived by eigendecomposition of a square matrix M in which 1's completely fill a partial diagonal and occur nowhere off this partial diagonal  say for the sake of discussion the partial diagonal "2 below" the main diagonal.)
Is it possible to define a rational transfer function which takes I as input and outputs B?
Thanks for any time you can afford to spend thinking about this question. I hope it's "wellformed"  if not, perhaps someone can take the time to tell me why not.
David Halitsky 6156132123



