Abstract
We present preliminary results of an ongoing project to develop codes of the Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) method for symmetric eigenvalue problems for hypre and PETSc software packages. hypre and PETSc provide high quality domain decomposition and multigrid preconditioning for parallel computers. Our LOBPCG implementation for hypre is publicly available in hypre 1.8.2b and later releases and in PETSc. We describe the current state of the LOBPCG software for hypre and PETSc and demonstrate scalability results on distributed memory parallel clusters using domain decomposition and multigrid preconditioning. This work is partially supported by the Center for Applied Scientific Computing, Lawrence Livermore National Laboratory and the National Science Foundation DMS 0208773.
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