Published April 3, 2016
| Version v1
Software
Open
Block GCRO-DR: A version of the recycled GMRES method using block Krylov subspaces and harmonic Ritz vectors
Authors/Creators
- 1. Sandia National Laboratories, Albuquerque, New Mexico
- 2. Johannes Kepler University, Linz, Austria
- 3. Temple University, Philadelphia
Description
We propose a block Krylov subspace version of the GCRO-DR method proposed in [Parks et al. SISC 2005], which is an iterative method allowing for the efficient minimization of the the residual over an augmented block Krylov subspace. We offer a clean derivation of the method and discuss methods of selecting recycling subspaces at restart as well as implementation decisions in the context of high-performance computing.