Fast Evaluation of Zolotarev Coefficients
| dc.creator | Kennedy, A. D. | |
| dc.date | 2004-02-27 | |
| dc.date | 2004-12-14 | |
| dc.date.accessioned | 2026-07-07T03:39:06Z | |
| dc.date.available | 2026-07-07T03:39:06Z | |
| dc.description | We review the theory of elliptic functions leading to Zolotarev's formula for the sign function over the range (ε\leq|x| \leq1). We show how Gauss' arithmetico-geometric mean allows us to evaluate elliptic functions cheaply, and thus to compute Zolotarev coefficients ``on the fly'' as a function of (ε). This in turn allows us to calculate the matrix functions (\sgn H), (\sqrt H), and (1/\sqrt H) both quickly and accurately for any Hermitian matrix (H) whose spectrum lies in the specified range. | |
| dc.description | 21 pages, 2 figures. Made various minor corrections | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0402038 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0402038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/38791 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Fast Evaluation of Zolotarev Coefficients | |
| dc.type | text |