A comparative study of numerical methods for the overlap Dirac operator--a status report
High Energy Physics - Lattice
2015-06-25 v1
Abstract
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.
Cite
@article{arxiv.hep-lat/0110198,
title = {A comparative study of numerical methods for the overlap Dirac operator--a status report},
author = {J. van den Eshof and A. Frommer and Th. Lippert and K. Schilling and H. A. van der Vorst},
journal= {arXiv preprint arXiv:hep-lat/0110198},
year = {2015}
}
Comments
3 pages, poster contribution to Lattice2001(algorithms)