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24 April 2024
 
  » arxiv » cond-mat/0401202

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Random phase vector for calculating the trace of a large matrix
Toshiaki Iitaka ; Toshikazu Ebisuzaki ;
Date 13 Dec 2003
Journal Phys. Rev. E 69, 057701 (2004) DOI: 10.1103/PhysRevE.69.057701
Subject Statistical Mechanics; Strongly Correlated Electrons | cond-mat.stat-mech cond-mat.str-el
AbstractWe 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.
Source arXiv, cond-mat/0401202
Other source [GID 474147] pmid15244983
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