# Sparse generalized symmetric eigensystem solver

Can anyone recommend a good software for solving generalized symmetric eigenvalue problems of the form, $$A x = \lambda B x$$ where $$A,B$$ are symmetric and sparse, and $$B$$ is positive definite?

I have only 1 machine so I would prefer something based on OpenMP rather than MPI if possible.

• Do you have any programming language constraint? Jul 13 at 20:09
• ARPACK is a good choice. So is SLEPc. Jul 13 at 20:49
• +1 SLEPc for this problem Jul 13 at 22:34