A comparative study of numerical methods for the overlap Dirac operator--a status report

Details A comparative study of numerical methods for the overlap Dirac operator--a status report A comparative study of numerical methods for the overlap Dirac operator--a status report

2001-10-25

arxiv.org/abs/hep-lat/0110198v1

Nucl.Phys.Proc.Suppl. 106 (2002) 1070-1072

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, poster contribution to Lattice2001(algorithms)

Scientific paper

Improvements of various methods to compute the sign function of the hermitian Wilson-Dirac matrix within the overlap operator are presented. An optimal partial fraction expansion (PFE) based on a theorem of Zolotarev is given. Benchmarks show that this PFE together with removal of converged systems within a multi-shift CG appears to approximate the sign function times a vector most efficiently. A posteriori error bounds are given.

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