By standard eigenvalue problem, you mean the complex non-hermitian eigen matrix, right?
correct. (I meant Standard as opposed to Hermitian or Generalized or etc.)
I am pretty sure there is no true parallel distributed standard eigensolver existing.
As far as PLAPACK goes, I'd say no, the routine is not in there. Best is that you ask
the PLAPACK developers by yourself if you really want to be sure. If you do get an answer,
let us know what it is.