Random phase vector for calculating the trace of a large matrix
Statistical Mechanics
2007-05-23 v2 Strongly Correlated Electrons
Abstract
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.
Cite
@article{arxiv.cond-mat/0401202,
title = {Random phase vector for calculating the trace of a large matrix},
author = {Toshiaki Iitaka and Toshikazu Ebisuzaki},
journal= {arXiv preprint arXiv:cond-mat/0401202},
year = {2007}
}
Comments
4 pages, RevTex, Further description of real random vectors and self-averaging are added