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Block GCRO-DR: A version of the recycled GMRES method using block Krylov subspaces and harmonic Ritz vectors

Name: Block GCRO-DR: A version of the recycled GMRES method using block Krylov subspaces and harmonic Ritz vectors
Keywords: Krylov subspace methods, iterative methods, augmented methods, block methods, gmres, subspace recycling

integration_instructionsResearch softwarekeyboard_double_arrow_right Software 03 Apr 2016Publisher:Zenodo

Authors: Michael L. Parks; Kirk M. Soodhalter; Daniel B. Szyld;

doi: 10.5281/zenodo.48836

Block GCRO-DR: A version of the recycled GMRES method using block Krylov subspaces and harmonic Ritz vectors

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Abstract

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.

Related Organizations

Sandia National Laboratories
United States
Johannes Kepler University of Linz
Austria
Temple University
United States

Keywords

Krylov subspace methods, iterative methods, augmented methods, block methods, gmres, subspace recycling

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