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

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.

Files

Files (204.4 kB)

Name Size Download all
md5:c9ff622cbf8afeabf8211507b25b6bbf
37.1 kB Download
md5:2e9cf64cf428eb197cc6f516549742e4
7.3 kB Download
md5:5168678721415a3f58a6c5a42780659f
159.9 kB Download