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

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.

preprint2001arXivOpen access
J. van den EshofA. FrommerTh. LippertK. SchillingH. A. van der Vorst
hep-lat
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Open access5 authors1 topic
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J. van den EshofA. FrommerTh. LippertK. SchillingH. A. van der Vorst

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