Preconditioned Krylov solvers on GPUs

TitlePreconditioned Krylov solvers on GPUs
Publication TypeJournal Article
Year of Publication2017
AuthorsAnzt, H., M. Gates, J. Dongarra, M. Kreutzer, G. Wellein, and M. Kohler
JournalParallel Computing
Date Published05-2017
Keywordsgpu, ILU, Jacobi, Krylov solvers, Preconditioning

In this paper, we study the effect of enhancing GPU-accelerated Krylov solvers with preconditioners. We consider the BiCGSTAB, CGS, QMR, and IDR(s) Krylov solvers. For a large set of test matrices, we assess the impact of Jacobi and incomplete factorization preconditioning on the solvers’ numerical stability and time-to-solution performance. We also analyze how the use of a preconditioner impacts the choice of the fastest solver.

Short TitleParallel Computing