Show simple item record

dc.contributor.authorBakhos, T.
dc.contributor.authorKitanidis, P.K.
dc.contributor.authorLadenheim, S.
dc.contributor.authorSaibaba, A.K.
dc.contributor.authorSzyld, D.
dc.description.abstractAn implementation of GMRES with multiple preconditioners (MPGMRES) is proposed for solving shifted linear systems with shift-and-invert preconditioners. With this type of preconditioner, the Krylov subspace can be built without requiring the matrix-vector product with the shifted matrix. Furthermore, the multipreconditioned search space is shown to grow only linearly with the number of preconditioners. This allows for a more efficient implementation of the algorithm. The proposed implementation is tested on shifted systems that arise in computational hydrology and the evaluation of different matrix functions. The numerical results indicate the effectiveness of the proposed approach.en_US
dc.description.sponsorshipU.S. National Science Foundation under grant DMS–1418882 and and by the Department of Energy grant DE–SC001657en_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.subjectnumerical linear algebraen_US
dc.subjectiterative methodsen_US
dc.titleMultipreconditioned GMRES for Shifted Systemsen_US
dc.journal.titleSIAM Journal on Scientific Computingen_US

Files in this item


This item appears in the following Collection(s)

Show simple item record

Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España