Title
Restarted simpler GMRES augmented with harmonic Ritz vectors and approximate errors.
Abstract
In this paper we propose an acceleration strategy for the Simpler GMRES (SGMRES) method that can considerably improve the convergence of SGMRES method and its variants. The idea is to use the augmentation of approximate errors in SGMRES-E so as to correct the alternative direction behavior of the residual vectors, which hampers the convergence. We show that the skip angles of the residual vectors are increased by the augmentation, which implies acceleration of the iterative method. Finally, we demonstrate the advantage of the strategy by several academic examples.
Year
DOI
Venue
2020
10.1016/j.cam.2019.112565
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
65F10
Convergence (routing),Residual,Applied mathematics,Mathematical optimization,Generalized minimal residual method,Iterative method,Harmonic,Acceleration,Mathematics
Journal
Volume
ISSN
Citations 
368
0377-0427
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Zhen Yang100.34
Yan-Fei Jing2679.48
Qiang Niu300.34