出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：I will review recent developments in matrix deflation methods, by Ronald Morgan/WalterWilcox,
Andreas Stathopoulos/Konstantinos Orginos, and Martin Lüscher, with application to lattice QCD
fermion inversion. I will begin with a short review of deflation-related work in the field. The
Morgan/Wilcox algorithms using GMRES and BiCGStab for deflation will be described. Typical
results for quenched (Wilson and twisted mass) and dynamical configurations (CP-PACS and
ETMC) will be displayed and discussed. I will outline how inclusion of multiple right-hand
sides and multiple shifts can be accommodated within versions of these methods. I will also
review deflation methods based on Conjugate Gradient introduced by Stathopoulos and Orginos
for hermitian systems with multiple right-hand sides as well as Lüscher’s non-hermitian domain
decomposition algorithm using Generalized Conjugate Residual.
