English

Efficiency of different matrix inversion methods applied to Wilson fermions

High Energy Physics - Lattice 2015-06-25 v1

Abstract

We compare different conjugate gradient -- like matrix inversion methods (CG, BiCGstab1 and BiCGstab2) employing for this purpose the compact lattice quantum electrodynamics (QED) with Wilson fermions. The main goals of this investigation are the CPU time efficiency of the methods as well as the influence of machine precision on the reliability of (physical) results especially close to the 'critical' line  κc(\bt)~\kappa_c(\bt).

Keywords

Cite

@article{arxiv.hep-lat/9606003,
  title  = {Efficiency of different matrix inversion methods applied to Wilson fermions},
  author = {G. Cella and A. Hoferichter and V. K. Mitrjushkin and M. Müller--Preussker and A. Vicere},
  journal= {arXiv preprint arXiv:hep-lat/9606003},
  year   = {2015}
}

Comments

27 pages LaTeX (epsf), all figures included

R2 v1 2026-07-22T13:20:49.695Z