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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 | 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. | Source: | arXiv, cond-mat/0401202 | Other source: | [GID 474147] pmid15244983 | Services: | Forum | Review | PDF | Favorites |
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