diagonalizing Hermitian matrices with complex values
Hello,
I am writing to ask what is the best or the appropriate way to diagonalize a complex Hermitian matrix in Igor. I am using MatrixEigenV/SYM/EVEC but I wonder if SYM is actually applicable here. Of course, a real Hermitian matrix is symmetric, but a complex one is not. The problem I encounter with these options is that the eigenvectors are occasionally not in order, that is, they don’t seem to correspond one-to-one to the eigenvalues. I would also like to confirm that the eigenvectors are normalized (even though they do appear to be so; are there cases when this is not true?). Finally, I am somewhat confused about the purpose of the /C flag in this case.
Thank you for your consideration, I look forward to your responses.