ACCELERATING WILSON FERMION MATRIX INVERSIONS BY MEANS OF THE STABILIZED BICONJUGATE GRADIENT ALGORITHM

Andreas Frommer, Volker Hannemann, Bertold Nöckel, Thomas Lippert and Klaus Schilling
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Andreas Frommer: Mathematics Department, University of Wuppertal 42097 Wuppertal, Germany
Volker Hannemann: Mathematics Department, University of Wuppertal 42097 Wuppertal, Germany
Bertold Nöckel: Mathematics Department, University of Wuppertal 42097 Wuppertal, Germany
Thomas Lippert: Physics Department, University of Wuppertal 42097 Wuppertal, Germany
Klaus Schilling: Physics Department, University of Wuppertal 42097 Wuppertal, Germany

International Journal of Modern Physics C (IJMPC), 1994, vol. 05, issue 06, 1073-1088

Abstract: The stabilized biconjugate gradient algorithm BiCGStab recently presented by van der Vorst is applied to the inversion of the lattice fermion operator in the Wilson formulation of lattice Quantum Chromodynamics. Its computational efficiency is tested in a comparative study against the conjugate gradient and minimal residual methods.Both for quenched gauge configurations atβ=6.0and gauge configurations with dynamical fermions atβ=5.4, we find BiCGStab to be superior to the other methods. BiCGStab turns out to be particularly useful in the chiral regime of small quark masses.

Keywords: Lattice QCD; Relaxation Algorithm; Parallel Computer (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1142/S012918319400115X

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