Random phase vector for calculating the trace of a large matrix

Preprint

5 February 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0401202

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.

Keywords

VECTOR FOR CALCULATING
CALCULATING THE TRACE
ERROR IN CALCULATING
RANDOM PHASE VECTOR
RESPONSE FUNCTIONS
DENSITY OF STATES
STATISTICAL ERROR

All Related Versions

Version 1, 2004-01-13, ArXiv
Version 2, 2004-02-05, ArXiv
Published version: Physical Review E, 69 (5), 057701.

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