Fast Krylov Space Methods for Calculation of Quark Propogator

1994/05/02 by Artan Boriçi, Boriçi, Artan, Philippe de Forcrand +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Superconducting Materials and Applications #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/9405001

Postscript file, 4 pages. Figures on request

arxiv created 1994/05/02 · openalex publication_date 1994/05/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Different recently developed Krylov space methods for solving linear systems are studied and compared for the solution of the Dirac equation on the lattice. Stabilized Biconjugate Gradient (BiCGstab2) is shown to be a robust and efficient solver for the calculation of the Wilson quark propagator in lattice QCD.

Related

• Krylov space solvers for shifted linear systems
• Improving Algorithms to Compute All Elements of the Lattice Quark Propagator
• Advances in lattice hadron physics calculations using the gradient flow
• Numerical Methods for the QCD Overlap Operator: II. Optimal Krylov Subspace Methods
• Adaptive Aggregation Based Domain Decomposition Multigrid for the Lattice Wilson Dirac Operator