self consistent method for eigenvalues

[babylonia]

Hi all,

I am trying to find numerically the eigenvalues of a nonlinear schroedinger equation in a similar way as the Self Consistent Field method for Hatree-Fock problems. Does anybody know in the SCF calculation how to improve the convergency? Is there any trick other than simply inserting the solution back for the next iteration?

Any clues would be appreciated. Thank you.

[alxm]

There are a number of techniques to stabilize and improve SCF convergence. The one that's most used by far is DIIS (http://en.wikipedia.org/wiki/DIIS) (and variants of it) though. So that's probably a good place to start.