ACCELERATING WILSON FERMION MATRIX INVERSIONS BY MEANS OF THE STABILIZED BICONJUGATE GRADIENT ALGORITHM-Reference-Cited by-同舟云学术

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

Published:1994-12 Issue:06 Volume:05 Page:1073-1088
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

FROMMER ANDREAS¹,HANNEMANN VOLKER¹,NÖCKEL BERTOLD¹,LIPPERT THOMAS²,SCHILLING KLAUS²

Affiliation:

1. Mathematics Department, University of Wuppertal 42097 Wuppertal, Germany

2. Physics Department, University of Wuppertal 42097 Wuppertal, Germany

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 at β=6.0 and gauge configurations with dynamical fermions at β=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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S012918319400115X

Cited by 96 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Benchmarking a portable lattice quantum chromodynamics kernel written in Kokkos and MPI;Proceedings of the SC '23 Workshops of The International Conference on High Performance Computing, Network, Storage, and Analysis;2023-11-12

2. Parton physics of the large- Nc mesons;Physical Review D;2022-07-07

3. Flow-based sampling for fermionic lattice field theories;Physical Review D;2021-12-15

4. Solving DWF dirac equation using multi-splitting preconditioned conjugate gradient with tensor cores on NVIDIA GPUs;Proceedings of the Platform for Advanced Scientific Computing Conference;2021-07-05

5. Lattice QCD and the Balkan physicists contribution;AIP Conference Proceedings;2016