2009/07/19 by H. Tadano, Hiroto Tadano, Y. Kuramashi +2
Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Algorithm #Applied mathematics #Biconjugate gradient stabilized method #Block (permutation group theory) #Combinatorics #Convergence (economics) #Dirac equation #Iterative method #Lattice (music) #Lattice QCD #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-lat
paper · pdf · doi:10.1016/j.cpc.2009.12.025
10 pages, 3 figures
arxiv created 2009/07/19 · openalex publication_date 2010/01/05 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.