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

  • 1. Sandia National Laboratories, Albuquerque, New Mexico
  • 2. Johannes Kepler University, Linz, Austria
  • 3. Temple University, Philadelphia


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.


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