Taken from here:


  A necessary and sufficient condition for a complex matrix $A$ to be positive definite is that the Hermitian part
  $$A_H=\frac{1}{2}(A+A^H)$$
  where $A^H$ denotes the conjugate transpose, be positive definite.


So, you can build a Hermitian part and then check if it is positive definite, e.g. by looking at its eigenvalues (which are real for hermitian matrices)

How to determine if a matrix is positive/negative definite, having complex eigenvalues?
am new in systems administration and the org am in has been using exchange 2003 for lyk forever,i thot i would change the systems to a linux server basically to cut l
