Complementary cycles of restarted GMRES
Copyright policy )Complementary cycles of restarted GMRES
AbstractRestarted GMRES is one of the most popular methods for solving large nonsymmetric linear systems. It is generally thought that the information of previous GMRES cycles is lost at the time of a restart; therefore, each cycle contributes to the global convergence individually. However, this is not the full story. In this paper, we shed light on the relationship between different GMRES cycles. It is shown that successive GMRES cycles can complement one another harmoniously. These groups of cycles, called complementary cycles, are defined and studied. Copyright © 2008 John Wiley & Sons, Ltd.
- Nanjing University of Aeronautics and Astronautics China (People's Republic of)
- Baylor University United States
restarting, global convergence, Iterative numerical methods for linear systems, generalized minimal residual (GMRES) method, nonsymmetric linear systems, iterative methods, harmonic Ritz values
restarting, global convergence, Iterative numerical methods for linear systems, generalized minimal residual (GMRES) method, nonsymmetric linear systems, iterative methods, harmonic Ritz values
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