A comparative study of numerical methods for the overlap Dirac operator—a status report
| Autor: | K. Schilling, J. van den Eshof, Th. Lippert, A. Frommer, H.A. van der Vorst |
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| Rok vydání: | 2002 |
| Předmět: |
Physics
Nuclear and High Energy Physics Operator (physics) Numerical analysis High Energy Physics - Lattice (hep-lat) FOS: Physical sciences Sign function Partial fraction decomposition Dirac operator Hermitian matrix Atomic and Molecular Physics and Optics Matrix (mathematics) symbols.namesake High Energy Physics - Lattice symbols Applied mathematics A priori and a posteriori |
| Zdroj: | Nuclear Physics B - Proceedings Supplements. :1070-1072 |
| ISSN: | 0920-5632 |
| DOI: | 10.1016/s0920-5632(01)01931-4 |
| Popis: | 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. 3 pages, poster contribution to Lattice2001(algorithms) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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