Random phase vector for calculating the trace of a large matrix
| dc.creator | Iitaka, Toshiaki | |
| dc.creator | Ebisuzaki, Toshikazu | |
| dc.date | 2004-01-13 | |
| dc.date | 2004-02-05 | |
| dc.date.accessioned | 2026-07-07T02:55:52Z | |
| dc.date.available | 2026-07-07T02:55:52Z | |
| dc.description | We derive an estimate of statistical error in calculating the trace of a large matrix by using random vector, and show that {\em random phase vector} gives the results with the smallest statistical error for a given basis set. This result supports use of random phase vectors in the calculation of density of states and linear response functions of large quantum systems. | |
| dc.description | 4 pages, RevTex, Further description of real random vectors and self-averaging are added | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0401202 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0401202 | |
| dc.identifier | Phys. Rev. E 69, 057701 (2004) | |
| dc.identifier | doi:10.1103/PhysRevE.69.057701 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23099 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Random phase vector for calculating the trace of a large matrix | |
| dc.type | text |