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Deflation Methods in Fermion Inverters

Presenter: Walter Wilcox — Baylor University

I will review recent developments in matrix deflation methods, by R. Morgan/W. Wilcox, A. Stathopoulos/K. Orginos, and M. Luscher, with application to lattice QCD. The Morgan/Wilcox algorithm for deflation will be compared with other standard methods. We will also discuss how inclusion of multiple right hand sides and multiple shifts can be accommodated within this method. In addition, I will also review deflation methods introduced by Stathopoulos and Orginos as well as the domain decomposition technique of Luscher, in the context of Hermitian systems.