Random phase vector for calculating the trace of a large matrix
Iitaka, Toshiaki · Ebisuzaki, Toshikazu
Original · EN
We derive an estimate of statistical error in calculating the trace of a large matrix by using random vector, and show that 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.
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