Numerical method for large-scale non-Hermitian matrices and its application to percolating Heisenberg antiferromagnets.

Numerical method for large-scale non-Hermitian matrices and its application to percolating Heisenberg antiferromagnets.
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大规模非厄米矩阵的数值方法及其在渗透海森堡反铁磁体中的应用。

DOI:
10.1103/physreve.50.566
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发表时间:
1994
期刊:
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
影响因子:
--
通讯作者:
Nakayama
Nakayama
中科院分区:
--
文献类型:
--
作者:
Terao;Yakubo;Nakayama

文献摘要

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本文提出了一种计算具有真实的本征值的超大型非厄米矩阵的态谱密度、本征值和本征向量的数值方法。我们还提出了一种有效的方法来计算由非厄米特矩阵描述的系统的动态相关函数。将该方法应用于经典海森堡反铁磁体的计算,证明了该方法的有效性。
A numerical method is developed for calculating the spectral density of states, eigenvalues, and eigenvectors of very large non-Hermitian matrices with real eigenvalues. We also present an efficient method to calculate the dynamic correlation function of the system described by non-Hermitian matrices. The effectiveness of the method is demonstrated by applying it to percolating classical Heisenberg antiferromagnets.