2016•Zenodo (CERN European Organization for Nuclear Research)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

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.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Generalized minimal residual method, Block (permutation group theory), Linear subspace, Mathematics, Krylov subspace, Algorithm, Combinatorics, Pure mathematics