Application of preconditioned block BiCGGR to the Wilson-Dirac equation with multiple right-hand sides in lattice QCD

作者：Tadano H; Kuramashi Y^*; Sakurai T

来源：Computer Physics Communications, 2010, 181(5): 883-886.

DOI：10.1016/j.cpc.2009.12.025

• Lattice gauge theory
• Lattice Dirac equation
• Multiple right-hand sides
• Block Krylov subspace
• Preconditioning

There exist two major problems in application of the conventional block BiCGSTAB method to the O (a)improved Wilson-Dirac equation with multiple right-hand sides: One is the deviation between the true and the recursive residuals. The other is the convergence failure observed at smaller quark masses for enlarged number of the right-hand sides. The block BiCGGR algorithm which was recently proposed by the authors succeeds in solving the former problem. In this article we show that a preconditioning technique allows us to improve the convergence behavior for increasing number of the right-hand sides.

• 出版日期2010-5