Software Open Access

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

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

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 (204.4 kB)
Name Size
block_gcrodr.m
md5:c9ff622cbf8afeabf8211507b25b6bbf
37.1 kB Download
block_gcrodr_examples.m
md5:2e9cf64cf428eb197cc6f516549742e4
7.3 kB Download
sherman5.mat
md5:5168678721415a3f58a6c5a42780659f
159.9 kB Download

Share

Cite as