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Title: A technique for accelerating the convergence of restarted GMRES

Journal Article · · SIAM Journal on Matrix Analysis and Applications
OSTI ID:15020368

We have observed that the residual vectors at the end of each restart cycle of restarted GMRES often alternate direction in a cyclic fashion, thereby slowing convergence. We present a new technique for accelerating the convergence of restarted GMRES by disrupting this alternating pattern. The new algorithm resembles a full conjugate gradient method with polynomial preconditioning, and its implementation requires minimal changes to the standard restarted GMRES algorithm.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
15020368
Report Number(s):
UCRL-JRNL-202883; TRN: US200517%%526
Journal Information:
SIAM Journal on Matrix Analysis and Applications, Vol. 25, Issue 4
Country of Publication:
United States
Language:
English

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