THE SPECTRAL MOMENTS METHOD
THE SPECTRAL MOMENTS METHOD
复制标题
DOI：
10.1088/0953-8984/4/12/010
复制
发表时间：
1992-03-23
影响因子：
2.7
通讯作者：
POUSSIGUE, G
中科院分区：
文献类型：
--
作者：
BENOIT, C;ROYER, E;POUSSIGUE, G
本文对谱矩法进行了系统的分析，并将其用于求解大谐波系统的响应函数。算法的收敛性进行了讨论，并提出解决方案，以改善所获得的结果。提出了新的发展。它们一方面涉及系统的绿色函数或相关函数的确定，以及本征向量的局部化，另一方面涉及通过一种非常简单而强大的技术确定非常大的齐次矩阵的谱密度。这些结果说明了作者研究的主要课题：导电聚合物，分形和准晶体的几个例子。并与其他方法进行了比较。
A systematic analysis of the spectral moments method is presented and developed to compute the response functions of verv large harmonic systems. Convergence of the algorithms is discussed and solutions are proposed to improve the results obtained. New developments are proposed. They concern, on the one hand, the determination of the Green functions or correlation functions of the system, and the localization of eigenvectors and, on the other hand the determination of the spectral density of very large homogeneous matrices by a very simple and powerful technique. These results are illustrated by several examples taken from the main subjects studied by the authors: conducting polymers, fractals and quasi-crystals. Then comparison with other methods is discussed.