On Tue, Jun 28, 2011 at 5:20 PM, Adam Byrd <adam1.byrd at gmail.com> wrote:
> Jack, > > I'm a summer intern just getting started with this project, so I don't know > all the details yet (I can ask though). I know I need to find the Green's > function which will involve the trace of the inverted Hamiltonian, as well > as the rest of the matrix. I have inquired about avoiding the inversion > altogether, but my instructor doesn't believe there is a way around it. Once > I've worked through the math I want to explore other options though. > > Respectfully, > Adam > > Ah, it's not a discretized Hamiltonian, not a Hamiltonian matrix ( http://en.wikipedia.org/wiki/Hamiltonian_matrix). For 2d problems, there is a nice approach for efficiently computing the trace of the inverse here: http://www.ma.utexas.edu/users/lexing/publications/siscpar.pdf. For 3d problems it is more difficult and I'm not sure what the best approach is. Jack -------------- next part -------------- An HTML attachment was scrubbed... URL: <http://lists.mcs.anl.gov/pipermail/petsc-users/attachments/20110628/76c116f4/attachment.htm>
