Random phase vector for calculating the trace of a large matrix
- 25 May 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 69 (5) , 057701
- https://doi.org/10.1103/physreve.69.057701
Abstract
We derive an estimate of the statistical error in calculating the trace of a large matrix by using random vectors, and show that the 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.Keywords
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