ar X iv : h ep - l at / 9 91 10 04 v 2 3 J an 2 00 0 RUHN - 99 – 4 Bounds on the Wilson Dirac Operator
نویسنده
چکیده
New exact upper and lower bounds are derived on the spectrum of the square of the hermitian Wilson Dirac operator. It is hoped that the derivations and the results will be of help in the search for ways to reduce the cost of simulations using the overlap Dirac operator. The bounds also apply to the Wilson Dirac operator in odd dimensions and are therefore relevant to domain wall fermions as well.
منابع مشابه
ar X iv : h ep - l at / 9 91 10 04 v 1 4 N ov 1 99 9 RUHN - 99 – 4 Bounds on
New exact upper and lower bounds are derived on the spectrum of the square of the hermitian Wilson Dirac operator. It is hoped that the derivations and the results will be of help in the search for ways to reduce the cost of simulations using the overlap Dirac operator.
متن کاملar X iv : h ep - l at / 9 91 00 40 v 1 2 5 O ct 1 99 9 RUHN - 99 - 3 The Overlap Dirac Operator ⋆
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متن کاملar X iv : h ep - l at / 0 11 01 98 v 1 2 5 O ct 2 00 1 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....
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