Preconditioned Solvers for Large Eigenvalue Problems on Massively Parallel Computers and Workstation Clusters

@inproceedings{Basermann1997PreconditionedSF,
  title={Preconditioned Solvers for Large Eigenvalue Problems on Massively Parallel Computers and Workstation Clusters},
  author={Achim Basermann and Bernhard Steffen},
  booktitle={PARCO},
  year={1997}
}
We present parallel preconditioned solvers to nd a few extreme eigenvalues and-vectors of large sparse matrices based on the Jacobi-Davidson (JD) method by G.L.G. Sleijpen and H.A. van der Vorst. For preconditioning, we apply banded matrices and a new adaptive approach using the QMR iteration. To parallelize the solvers developed, we investigate matrix and vector partitioning as well as dividing the spectrum of the matrix into independent parts. The eeciency of these strategies is demonstrated… CONTINUE READING